32581 + Interview Questions in Mathematics Page 161 InterviewSolution

8001.	A circus artist is climbing a 20 m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. Find the height of the pole, if the angle made by the rope with the ground level is 30∘.
Answer» A circus artist is climbing a 20 m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. Find the height of the pole, if the angle made by the rope with the ground level is $30^{\circ}$ .

Discussion

8002.

The following balances were taken from the books of Shri R. Lal as at 31st March, 2017. Particulars (₹) Particulars (₹) Capital 1,00,000 Rent (Cr.) 2,100 Drawing 17,600 Railway Freight on sales 16,940 Purchases 80,000 Carriage Inwards 2,310 Sales 1,40,370 Office Expenses 1,340 Purchase Returns 2,820 Printing & Stationery 660 Stock on 1.4.2016 11,460 Postage 820 Bad Debts 1,400 Sundry Debtors 62,070 Bad Debts Provision on 1.4.2016 3,240 Sundry Creditors 18,920 Rates & Insurance 1,300 Cash at Bank 12,400 Discount (Cr.) 190 Cash in Hand 2,210 Bills Receivable 1,240 Office Furniture 3,500 Sales Returns 4,240 Salaries & Commission 9,870 Wages 6,280 Addition to Building 7,000 Building 25,000 Prepare Trading and Profit & Loss A/c and a Balance Sheet as at 31st March, 2017, after keeping in view the following adjustments:(i) Depreciate old Building at 2 1/2% and addition to Building at 2% and Office Furniture at 5%.(ii) Write off further Bad-debts ₹ 570.(iii) Increase the Bad-debts Provision to 6% of Debtors.(iv) On 31st March, 2017 ₹ 570 are outstanding for salary.(v) Rent receivable ₹ 200 on 31st March, 2017.(vi) Interest on capital at 5% to be charged.(vii) Unexpired Insurance ₹ 240.(viii) Stock was valued at ₹ 14,290 on 31st March, 2017.

Answer» The following balances were taken from the books of Shri R. Lal as at 31st March, 2017.

Particulars	(₹)	Particulars	(₹)
Capital	1,00,000	Rent (Cr.)	2,100
Drawing	17,600	Railway Freight on sales	16,940
Purchases	80,000	Carriage Inwards	2,310
Sales	1,40,370	Office Expenses	1,340
Purchase Returns	2,820	Printing & Stationery	660
Stock on 1.4.2016	11,460	Postage	820
Bad Debts	1,400	Sundry Debtors	62,070
Bad Debts Provision on 1.4.2016	3,240	Sundry Creditors	18,920
Rates & Insurance	1,300	Cash at Bank	12,400
Discount (Cr.)	190	Cash in Hand	2,210
Bills Receivable	1,240	Office Furniture	3,500
Sales Returns	4,240	Salaries & Commission	9,870
Wages	6,280	Addition to Building	7,000
Building	25,000

Prepare Trading and Profit & Loss A/c and a Balance Sheet as at 31st March, 2017, after keeping in view the following adjustments:

(i) Depreciate old Building at 2 1/2% and addition to Building at 2% and Office Furniture at 5%.

(ii) Write off further Bad-debts ₹ 570.

(iii) Increase the Bad-debts Provision to 6% of Debtors.

(iv) On 31st March, 2017 ₹ 570 are outstanding for salary.

(v) Rent receivable ₹ 200 on 31st March, 2017.

(vi) Interest on capital at 5% to be charged.

(vii) Unexpired Insurance ₹ 240.

(viii) Stock was valued at ₹ 14,290 on 31st March, 2017.

Discussion

8003.	Write the empirical relation between mean, mode and median.
Answer» Write the empirical relation between mean, mode and median.

Discussion

8004.	Solve the following systems of inequalities graphically: 2x+y≥8,x+2y≥10
Answer» Solve the following systems of inequalities graphically: $2 x + y \geq 8, x + 2 y \geq 10$

8004.

Solve the following systems of inequalities graphically: 2x+y≥8,x+2y≥10

Answer»

Solve the following systems of inequalities graphically:

$2 x + y \geq 8, x + 2 y \geq 10$

Discussion

8005.	37. Circumcentre of triangle of sides y=x, y=2x, y=3x+4 ?
Answer» 37. Circumcentre of triangle of sides y=x, y=2x, y=3x+4 ?

Discussion

8006.	24. BDEF is a square formed inside an isosceles right triangle ABC right angled at B. Show that ar(Δ AFE)=(Δ CDE)
Answer» 24. BDEF is a square formed inside an isosceles right triangle ABC right angled at B. Show that ar(Δ AFE)=(Δ CDE)

Discussion

8007.	In the figure AB and CD are extended to intersect at P. If AB = 5, BP = 3, PD = 2 then find CD.
Answer» In the figure AB and CD are extended to intersect at P. If AB = 5, BP = 3, PD = 2 then find CD.

8007.

In the figure AB and CD are extended to intersect at P. If AB = 5, BP = 3, PD = 2 then find CD.

Answer»

In the figure AB and CD are extended to intersect at P. If AB = 5, BP = 3, PD = 2 then find CD.

Discussion

8008.	Show that (a−b)2,(a2+b2) and (a+b)2 are in A.P.
Answer» Show that $(a - b)^{2}, (a^{2} + b^{2})$ and $(a + b)^{2}$ are in A.P.

Discussion

8009.	Determine the nth term of the AP whose 7th term is −1 and 16th term is 17.
Answer» Determine the $n^{t h}$ term of the AP whose 7th term is −1 and 16th term is 17.

Discussion

8010.	If cos θ=45, find all other trigonometric ratios of angle θ.
Answer» If $\cos θ = \frac{4}{5}$ , find all other trigonometric ratios of angle θ.

Discussion

8011.	If (cos θ + sec θ) = 52 then (cos2 θ+sec2θ) = ? (a) 214 (b) 174 (c) 294 (d) 334
Answer» If (cos $θ$ + sec $θ$ ) = $\frac{5}{2}$ then $(c o s^{2} θ + s e c^{2} θ)$ = ? (a) $\frac{21}{4}$ (b) $\frac{17}{4}$ (c) $\frac{29}{4}$ (d) $\frac{33}{4}$

8011.

If (cos θ + sec θ) = 52 then (cos2 θ+sec2θ) = ? (a) 214 (b) 174 (c) 294 (d) 334

Answer»

If (cos $θ$ + sec $θ$ ) = $\frac{5}{2}$ then $(c o s^{2} θ + s e c^{2} θ)$ = ?

(a) $\frac{21}{4}$ (b) $\frac{17}{4}$ (c) $\frac{29}{4}$ (d) $\frac{33}{4}$

Discussion

8012.	17. Ranjanas mother gave her 245 for buying new year cards if she got 10 rupee card 2/3 as many 5 rupee cards , and 1/5 as many 15 rupee cards how many of each kind did she buy
Answer» 17. Ranjanas mother gave her 245 for buying new year cards if she got 10 rupee card 2/3 as many 5 rupee cards , and 1/5 as many 15 rupee cards how many of each kind did she buy

Discussion

8013.	ntA body travels a distance x in first two seconds and a distance y in next two seconds.The relation between x and y isn
Answer» ntA body travels a distance x in first two seconds and a distance y in next two seconds.The relation between x and y isn

Discussion

8014.

Journalise the following transactions of Rakesh Agencies, Delhi (Proprietor Shri Rakesh): 2019 ₹ Jan 1 Rakesh commenced business with cash 50,000 Jan 2 Purchased goods for cash 10,000 Jan 5 Purchased goods from Mohan, Delhi 6,000 Jan 7 Opened bank account with Bank of India 10,000 Jan 10 Purchased furniture for office 2,000 Jan 15 Sold goods for cash 8,000 Jan 20 Sold goods to Ram, Delhi 5,000 Jan 25 Cash sales 3,500 Jan 27 Paid to Mohan on account 3,000 Jan 28 Ram returns goods costing 500 Jan 31 Paid Salaries 9,000 Jan 31 Rejected and returned 10% of goods supplied by Mohan

Answer» Journalise the following transactions of Rakesh Agencies, Delhi (Proprietor Shri Rakesh):

2019		₹
Jan 1	Rakesh commenced business with cash	50,000
Jan 2	Purchased goods for cash	10,000
Jan 5	Purchased goods from Mohan, Delhi	6,000
Jan 7	Opened bank account with Bank of India	10,000
Jan 10	Purchased furniture for office	2,000
Jan 15	Sold goods for cash	8,000
Jan 20	Sold goods to Ram, Delhi	5,000
Jan 25	Cash sales	3,500
Jan 27	Paid to Mohan on account	3,000
Jan 28	Ram returns goods costing	500
Jan 31	Paid Salaries	9,000
Jan 31	Rejected and returned 10% of goods supplied by Mohan

Discussion

8015.	Given that first term of the AP is 7 & the common difference is 12.Find n if nth term of an AP is 295.
Answer» Given that first term of the AP is 7 & the common difference is 12.Find n if $n^{t h}$ term of an AP is 295.

Discussion

8016.	7yrs ago varun was 5times square of swami's age.3yrs hence swamy's age will be 2/5th of varun's age.find their present ages
Answer» 7yrs ago varun was 5times square of swami's age.3yrs hence swamy's age will be 2/5th of varun's age.find their present ages

Discussion

8017.	Which of the following terms of the central bank is due to its functions of buying and selling government securities on behalf of the government?
Answer» Which of the following terms of the central bank is due to its functions of buying and selling government securities on behalf of the government?

Discussion

8018.	Find the quadratic polynomial, the sum of whose root is 2 and their product is 13
Answer» Find the quadratic polynomial, the sum of whose root is $\sqrt{2}$ and their product is $\frac{1}{3}$

Discussion

8019.	Find the roots of the following quadratic equations (if they exist) by the method of completing the square.x2-4ax+4a2-b2=0
Answer» Find the roots of the following quadratic equations (if they exist) by the method of completing the square. $x^{2} - 4 a x + 4 a^{2} - b^{2} = 0$

Discussion

8020.	If secθ=54, show that sinθ-2cosθtanθ-cotθ=127.
Answer» If $\sec θ = \frac{5}{4}$ , show that $\frac{(\sin θ - 2 \cos θ)}{(\tan θ - \cot θ)} = \frac{12}{7}$ .

Discussion

8021.	If P(E) = 0.05, then P(not E) =(a) −0.05(b) 0.5(c) 0.9(d) 0.95
Answer» If P(E) = 0.05, then P(not E) = (a) −0.05 (b) 0.5 (c) 0.9 (d) 0.95

Discussion

8022.	Question 1A wooden bookshelf has external dimensions as follows: Height = 110 cm, Depth = 25 cm, Breadth = 85 cm (see Fig. 13.31). The thickness of the plank is 5 cm everywhere. The external faces are to be polished and the inner faces are to be painted. If the rate of polishing is 20 paise per cm2 and the rate of painting is 10 paise per cm2 find the total expenses required for polishing and painting the surface of the bookshelf.
Answer» Question 1 A wooden bookshelf has external dimensions as follows: Height = 110 cm, Depth = 25 cm, Breadth = 85 cm (see Fig. 13.31). The thickness of the plank is 5 cm everywhere. The external faces are to be polished and the inner faces are to be painted. If the rate of polishing is 20 paise per $c m^{2}$ and the rate of painting is 10 paise per $c m^{2}$ find the total expenses required for polishing and painting the surface of the bookshelf.

Discussion

8023.	Show that the points (1, – 1), (5, 2) and (9, 5) are collinear. [2 MARKS]
Answer» Show that the points (1, – 1), (5, 2) and (9, 5) are collinear. [2 MARKS]

Discussion

8024.	81.The edges of a parallelopiped are given by the vectors (2i+3j+4k),4j and (5j+mk). What should be the value of m in order that the volume of parallelepiped be 24?
Answer» 81.The edges of a parallelopiped are given by the vectors (2i+3j+4k),4j and (5j+mk). What should be the value of m in order that the volume of parallelepiped be 24?

Discussion

8025.	Draw the graph of y=x2−3x+2
Answer» Draw the graph of $y = x^{2} - 3 x + 2$

Discussion

8026.	what is the formula of total surface area of frustrum of a right circular cone?
Answer» what is the formula of total surface area of frustrum of a right circular cone?

Discussion

8027.	If the angle between two tangents drawn from a point P to a circle of radius a and centre O is 60°, then OP = _______.
Answer» If the angle between two tangents drawn from a point P to a circle of radius a and centre O is 60°, then OP = _______.

Discussion

8028.	Question 1 (vii)Find the square roots of each of the following numbers by Division method:5776
Answer» Question 1 (vii) Find the square roots of each of the following numbers by Division method: 5776

8028.

Question 1 (vii)Find the square roots of each of the following numbers by Division method:5776

Answer»

Question 1 (vii)

Find the square roots of each of the following numbers by Division method:

5776

Discussion

8029.	A life insurance agent found the following data for the distribution of ages of 100 policy holders. Calculate the median age, if policies are given only to persons having age 18 years onwards but less than 60 years. Age (in years)Number of policy holdersBelow 202Below 256Below 3024Below 3545Below 4078Below 4589Below 5092Below 5598Below 60100
Answer» A life insurance agent found the following data for the distribution of ages of 100 policy holders. Calculate the median age, if policies are given only to persons having age 18 years onwards but less than 60 years. $\begin{matrix} A g e (i n y e a r s) & N u m b e r o f p o l i c y h o l d e r s B e l o w 20 & 2 B e l o w 25 & 6 B e l o w 30 & 24 B e l o w 35 & 45 B e l o w 40 & 78 B e l o w 45 & 89 B e l o w 50 & 92 B e l o w 55 & 98 B e l o w 60 & 100 \end{matrix}$

8029.

A life insurance agent found the following data for the distribution of ages of 100 policy holders. Calculate the median age, if policies are given only to persons having age 18 years onwards but less than 60 years. Age (in years)Number of policy holdersBelow 202Below 256Below 3024Below 3545Below 4078Below 4589Below 5092Below 5598Below 60100

Answer»

A life insurance agent found the following data for the distribution of ages of 100 policy holders. Calculate the median age, if policies are given only to persons having age 18 years onwards but less than 60 years.

$\begin{matrix} A g e (i n y e a r s) & N u m b e r o f p o l i c y h o l d e r s B e l o w 20 & 2 B e l o w 25 & 6 B e l o w 30 & 24 B e l o w 35 & 45 B e l o w 40 & 78 B e l o w 45 & 89 B e l o w 50 & 92 B e l o w 55 & 98 B e l o w 60 & 100 \end{matrix}$

Discussion

8030.	In the following figure, O is a point in the interior of a triangle ABC, OD ⊥ BC, OE ⊥ AC and OF ⊥ AB. Show that(i) OA2 + OB2 + OC2 − OD2 − OE2 − OF2 = AF2 + BD2 + CE2(ii) AF2 + BD2 + CE2 = AE2 + CD2 + BF2
Answer» In the following figure, O is a point in the interior of a triangle ABC, OD ⊥ BC, OE ⊥ AC and OF ⊥ AB. Show that (i) OA² + OB² + OC² − OD² − OE² − OF² = AF² + BD² + CE² (ii) AF² + BD² + CE²= AE² + CD² + BF²

8030.

In the following figure, O is a point in the interior of a triangle ABC, OD ⊥ BC, OE ⊥ AC and OF ⊥ AB. Show that(i) OA2 + OB2 + OC2 − OD2 − OE2 − OF2 = AF2 + BD2 + CE2(ii) AF2 + BD2 + CE2 = AE2 + CD2 + BF2

Answer»

In the following figure, O is a point in the interior of a triangle ABC, OD ⊥ BC, OE ⊥ AC and OF ⊥ AB. Show that

(i) OA² + OB² + OC² − OD² − OE² − OF² = AF² + BD² + CE²

(ii) AF² + BD² + CE²= AE² + CD² + BF²

Discussion

8031.	A man of height 60 cm is walking away from the base of a building at a speed of 2.2 m/s. If the building is 7.2 m of height, then the length of the shadow of man after 5s will be
Answer» A man of height 60 cm is walking away from the base of a building at a speed of 2.2 m/s. If the building is 7.2 m of height, then the length of the shadow of man after 5s will be

Discussion

8032.	In an A.P., the pth term is 1/q and the qth term is 1/p. Find the (pq)th term of the A.P .
Answer» In an A.P., the pth term is 1/q and the qth term is 1/p. Find the (pq)th term of the A.P .

Discussion

8033.	Choose the correct answer of the following question:sec70° sin20°+cos20° cosec70°=?a 0 b 1 c -1 d 2
Answer» $Choose the correct answer of the following question : \sec 70 ° \sin 20 ° + \cos 20 ° cosec 70 ° = ? (a) 0 (b) 1 (c) - 1 (d) 2$

Discussion

8034.	Find the roots of each of the following equations, if they exist, by applying the quadratic formula:x2+x+2=0
Answer» Find the roots of each of the following equations, if they exist, by applying the quadratic formula: $x^{2} + x + 2 = 0$

Discussion

8035.	Some students planned a picnic. The total budget for food was ₹2000. But, 5 students failed to attend the picnic and thus the cost for food for each member increased by ₹20. How many students attended the picnic and how much did each student pay for the food? [CBSE 2010]
Answer» Some students planned a picnic. The total budget for food was ₹2000. But, 5 students failed to attend the picnic and thus the cost for food for each member increased by ₹20. How many students attended the picnic and how much did each student pay for the food? [CBSE 2010]

Discussion

8036.	Note Use π=227, unless stated otherwise.The slant height and base diameter of a conical tomb are 25 m and 14 m respectively. Find the cost of whitewashing its curved surface at the rate of ₹ 12 per m2.
Answer» Note Use $π = \frac{22}{7}$ , unless stated otherwise. The slant height and base diameter of a conical tomb are 25 m and 14 m respectively. Find the cost of whitewashing its curved surface at the rate of ₹ 12 per m².

Discussion

8037.

The monthly profits (in Rs.) of 100 shops are distributed as follows: Profits per shop: 0−50 50−100 100−150 150−200 200−250 250−300 No. of shops: 12 18 27 20 17 6 Draw the frequency polygon for it.

Answer» The monthly profits (in Rs.) of 100 shops are distributed as follows:

Profits per shop:	0−50	50−100	100−150	150−200	200−250	250−300
No. of shops:	12	18	27	20	17	6

Draw the frequency polygon for it.

Discussion

8038.	Question 43Curved surface area of a cylinder of radius h and height r is ___
Answer» Question 43 Curved surface area of a cylinder of radius h and height r is ___

8038.

Question 43Curved surface area of a cylinder of radius h and height r is ___

Answer»

Question 43

Curved surface area of a cylinder of radius h and height r is ___

Discussion

8039.	The sum of the first 20 terms of an AP is known to be 1280, and the common difference is 20. Then the fourth term of the AP will be __.
Answer» The sum of the first 20 terms of an AP is known to be 1280, and the common difference is 20. Then the fourth term of the AP will be __.

Discussion

8040.	A bucket is in the form of a frustum of a cone and it can hold 28.49 litres of water. If the radii of its circular ends are 28 cm and 21 cm, find the height of the bucket.
Answer» A bucket is in the form of a frustum of a cone and it can hold 28.49 litres of water. If the radii of its circular ends are 28 cm and 21 cm, find the height of the bucket.

Discussion

8041.	A train leaves Delhi at 6:00 am and reaches Haridwar at 10:00 am. Another train leaves Haridwar at 8:00 am and reaches Delhi at 11:30 am. At what time the trains meet?
Answer» A train leaves Delhi at 6:00 am and reaches Haridwar at 10:00 am. Another train leaves Haridwar at 8:00 am and reaches Delhi at 11:30 am. At what time the trains meet?

Discussion

8042.	A tower is 100√3 m high. Find the angle of elevation of its top from a point 100 m away from its foot.
Answer» A tower is 100 $\sqrt{3}$ m high. Find the angle of elevation of its top from a point 100 m away from its foot.

Discussion

8043.	Can (x − 2) be the remainder on division of a polynomial p(x) by (2x + 3)? Justify your answer.
Answer» Can (x − 2) be the remainder on division of a polynomial p(x) by (2x + 3)? Justify your answer.

Discussion

8044.	Find the area of the largest triangle that can be inscribed in a semi-circle of radius r units. [CBSE 2015]
Answer» Find the area of the largest triangle that can be inscribed in a semi-circle of radius r units. [CBSE 2015]

Discussion

8045.

Find the value of p for the following distribution whose mean is 16.6. x: 8 12 15 p 20 25 30 f: 12 16 20 24 16 8 4

Answer» Find the value of p for the following distribution whose mean is 16.6.

x:	8	12	15	p	20	25	30
f:	12	16	20	24	16	8	4

Discussion

8046.	Find the ratio in which the point P( −1, y), lying on the line segment joining points A(−3, 10) and B(6, −8) divides it. Also, find the value of y. Also, find the value of y. [CBSE 2013]
Answer» Find the ratio in which the point P( −1, y), lying on the line segment joining points A(−3, 10) and B(6, −8) divides it. Also, find the value of y. Also, find the value of y. [CBSE 2013]

Discussion

8047.	In the given figure, O is the centre of the circle. PA and PB are tangents. Show that AOBP is a cyclic quadrilateral [CBSE 2014]
Answer» In the given figure, O is the centre of the circle. PA and PB are tangents. Show that AOBP is a cyclic quadrilateral [CBSE 2014]

Discussion

8048.	The radii of the top and bottom of a bucket of slant height 45 cm are 28 cm and 7 cm, respectively. Find the curved surface area of the bucket.
Answer» The radii of the top and bottom of a bucket of slant height 45 cm are 28 cm and 7 cm, respectively. Find the curved surface area of the bucket.

Discussion

8049.	In the given figure, AD = ___ cm.
Answer» In the given figure, AD = ___ cm.

Discussion

8050.

A manufacturing company M sells a computer to a distributor for ₹ 33,000 including sales tax. The distributor D sells it to a retailer R for ₹ 35,000 excluding tax and the retailer sells it to a customer for ₹ 36,000 plus tax. If the rate of sales tax (under VAT ) is 10 % find i) the cost price of the computer for the distributor ii) the amount of tax (under VAT) paid by Retailer

Answer»

A manufacturing company M sells a computer to a distributor for ₹ 33,000 including sales tax. The distributor D sells it to a retailer R for ₹ 35,000 excluding tax and the retailer sells it to a customer for ₹ 36,000 plus tax. If the rate of sales tax (under VAT ) is 10 % find

i) the cost price of the computer for the distributor

ii) the amount of tax (under VAT) paid by Retailer

Discussion

Explore topic-wise InterviewSolutions in .

A circus artist is climbing a 20 m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. Find the height of the pole, if the angle made by the rope with the ground level is 30∘.

Write the empirical relation between mean, mode and median.

Solve the following systems of inequalities graphically: 2x+y≥8,x+2y≥10

37. Circumcentre of triangle of sides y=x, y=2x, y=3x+4 ?

24. BDEF is a square formed inside an isosceles right triangle ABC right angled at B. Show that ar(Δ AFE)=(Δ CDE)

In the figure AB and CD are extended to intersect at P. If AB = 5, BP = 3, PD = 2 then find CD.

Show that (a−b)2,(a2+b2) and (a+b)2 are in A.P.

Determine the nth term of the AP whose 7th term is −1 and 16th term is 17.

If cos θ=45, find all other trigonometric ratios of angle θ.

If (cos θ + sec θ) = 52 then (cos2 θ+sec2θ) = ? (a) 214 (b) 174 (c) 294 (d) 334

17. Ranjanas mother gave her 245 for buying new year cards if she got 10 rupee card 2/3 as many 5 rupee cards , and 1/5 as many 15 rupee cards how many of each kind did she buy

ntA body travels a distance x in first two seconds and a distance y in next two seconds.The relation between x and y isn

Given that first term of the AP is 7 &amp; the common difference is 12.Find n if nth term of an AP is 295.

7yrs ago varun was 5times square of swami's age.3yrs hence swamy's age will be 2/5th of varun's age.find their present ages

Which of the following terms of the central bank is due to its functions of buying and selling government securities on behalf of the government?

Find the quadratic polynomial, the sum of whose root is 2 and their product is 13

Find the roots of the following quadratic equations (if they exist) by the method of completing the square.x2-4ax+4a2-b2=0

If secθ=54, show that sinθ-2cosθtanθ-cotθ=127.

If P(E) = 0.05, then P(not E) =(a) −0.05(b) 0.5(c) 0.9(d) 0.95

Show that the points (1, – 1), (5, 2) and (9, 5) are collinear. [2 MARKS]

81.The edges of a parallelopiped are given by the vectors (2i+3j+4k),4j and (5j+mk). What should be the value of m in order that the volume of parallelepiped be 24?

Draw the graph of y=x2−3x+2

what is the formula of total surface area of frustrum of a right circular cone?

If the angle between two tangents drawn from a point P to a circle of radius a and centre O is 60°, then OP = _______.

Question 1 (vii)Find the square roots of each of the following numbers by Division method:5776

In the following figure, O is a point in the interior of a triangle ABC, OD ⊥ BC, OE ⊥ AC and OF ⊥ AB. Show that(i) OA2 + OB2 + OC2 − OD2 − OE2 − OF2 = AF2 + BD2 + CE2(ii) AF2 + BD2 + CE2 = AE2 + CD2 + BF2

A man of height 60 cm is walking away from the base of a building at a speed of 2.2 m/s. If the building is 7.2 m of height, then the length of the shadow of man after 5s will be

In an A.P., the pth term is 1/q and the qth term is 1/p. Find the (pq)th term of the A.P .

Choose the correct answer of the following question:sec70° sin20°+cos20° cosec70°=?a 0 b 1 c -1 d 2

Find the roots of each of the following equations, if they exist, by applying the quadratic formula:x2+x+2=0

Some students planned a picnic. The total budget for food was ₹2000. But, 5 students failed to attend the picnic and thus the cost for food for each member increased by ₹20. How many students attended the picnic and how much did each student pay for the food? [CBSE 2010]

Note Use π=227, unless stated otherwise.The slant height and base diameter of a conical tomb are 25 m and 14 m respectively. Find the cost of whitewashing its curved surface at the rate of ₹ 12 per m2.

The monthly profits (in Rs.) of 100 shops are distributed as follows: Profits per shop: 0−50 50−100 100−150 150−200 200−250 250−300 No. of shops: 12 18 27 20 17 6 Draw the frequency polygon for it.

Question 43Curved surface area of a cylinder of radius h and height r is ___

The sum of the first 20 terms of an AP is known to be 1280, and the common difference is 20. Then the fourth term of the AP will be __.

A bucket is in the form of a frustum of a cone and it can hold 28.49 litres of water. If the radii of its circular ends are 28 cm and 21 cm, find the height of the bucket.

A train leaves Delhi at 6:00 am and reaches Haridwar at 10:00 am. Another train leaves Haridwar at 8:00 am and reaches Delhi at 11:30 am. At what time the trains meet?

A tower is 100√3 m high. Find the angle of elevation of its top from a point 100 m away from its foot.

Can (x − 2) be the remainder on division of a polynomial p(x) by (2x + 3)? Justify your answer.

Find the area of the largest triangle that can be inscribed in a semi-circle of radius r units. [CBSE 2015]

Find the value of p for the following distribution whose mean is 16.6. x: 8 12 15 p 20 25 30 f: 12 16 20 24 16 8 4

Find the ratio in which the point P( −1, y), lying on the line segment joining points A(−3, 10) and B(6, −8) divides it. Also, find the value of y. Also, find the value of y. [CBSE 2013]

In the given figure, O is the centre of the circle. PA and PB are tangents. Show that AOBP is a cyclic quadrilateral [CBSE 2014]

The radii of the top and bottom of a bucket of slant height 45 cm are 28 cm and 7 cm, respectively. Find the curved surface area of the bucket.

In the given figure, AD = ___ cm.

Given that first term of the AP is 7 & the common difference is 12.Find n if nth term of an AP is 295.