32581 + Interview Questions in Mathematics Page 229 InterviewSolution

11401.	Two tangents are drawn from a point P to a circle touching the circle at A and B respectively . If PA = 6 cm and AB = 3 cm, then find the perimeter of triangle ABP .
Answer» Two tangents are drawn from a point P to a circle touching the circle at A and B respectively . If PA = 6 cm and AB = 3 cm, then find the perimeter of triangle ABP .

Discussion

11402.	Find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coefficients:2x2 – x – 6
Answer» Find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coefficients: 2x²– x – 6

Discussion

11403.	If a1,a2,a 3 ,a4 are in arithmetic progression, then 1/roota1 root a2 +1/root a2roota3 +1/roota3roota4 is
Answer» If a1,a2,a 3 ,a4 are in arithmetic progression, then 1/roota1 root a2 +1/root a2roota3 +1/roota3roota4 is

Discussion

11404.	Solve each of the following systems of equations by the method of cross-multiplication :bx+cy=a+bax1a-b-1a+b+cy1b-a-1b+a=2aa+b
Answer» Solve each of the following systems of equations by the method of cross-multiplication : $b x + c y = a + b a x (\frac{1}{a - b} - \frac{1}{a + b}) + c y (\frac{1}{b - a} - \frac{1}{b + a}) = \frac{2 a}{a + b}$

Discussion

11405.	The cost of 5 pens and 8 pencils is ₹120, while the cost of 8 pens and 5 pencils is ₹153.Find the cost of 1 pen and that of 1 pencil.
Answer» The cost of 5 pens and 8 pencils is ₹120, while the cost of 8 pens and 5 pencils is ₹153. Find the cost of 1 pen and that of 1 pencil.

Discussion

11406.	The lines x−21=y−31=z−4−k and x−1k=y−42=z−51 are coplaner if:
Answer» The lines $\frac{x - 2}{1} = \frac{y - 3}{1} = \frac{z - 4}{- k}$ and $\frac{x - 1}{k} = \frac{y - 4}{2} = \frac{z - 5}{1}$ are coplaner if:

Discussion

11407.	Question 7(c) Find the ratio of the following: 55 paise to Rs 1
Answer» Question 7(c) Find the ratio of the following: 55 paise to Rs 1

11407.

Question 7(c) Find the ratio of the following: 55 paise to Rs 1

Answer»

Question 7(c)

Find the ratio of the following:

55 paise to Rs 1

Discussion

11408.	45. How many images of a person are formed who is in a room whose two adjacent walls and ceiling are plane mirrors
Answer» 45. How many images of a person are formed who is in a room whose two adjacent walls and ceiling are plane mirrors

Discussion

11409.	The radii of the bases of a cylinder and a cone are in the ratio 3 : 4. If their height are in the ratio 2 : 3, then their volumes are in the ratio ________.
Answer» The radii of the bases of a cylinder and a cone are in the ratio 3 : 4. If their height are in the ratio 2 : 3, then their volumes are in the ratio ________.

Discussion

11410.	The following distribution shows the daily pocket allowance of children of a locality. If the mean pocket allowance is Rs. 18, find the missing frequency f. Daily pocketallowance(in Rs)11−1313−1515−1717−1919−2121−2323−25Frequency76913f54
Answer» The following distribution shows the daily pocket allowance of children of a locality. If the mean pocket allowance is Rs. 18, find the missing frequency f. $\begin{matrix} Daily pocket allowance(in Rs) & 11 - 13 & 13 - 15 & 15 - 17 & 17 - 19 & 19 - 21 & 21 - 23 & 23 - 25 Frequency & 7 & 6 & 9 & 13 & f & 5 & 4 \end{matrix}$

Discussion

11411.	If terms 9, x, 21 form an arithmetic progression, then the value of x is ____.
Answer» If terms 9, x, 21 form an arithmetic progression, then the value of x is ____.

Discussion

11412.	Mark the correct alternative in the following question:If in an A.P., the pth term is q and (p + q)th term is zero, then the qth term is(a) -p (b) p (c) p + q (d) p - q
Answer» Mark the correct alternative in the following question: If in an A.P., the pth term is q and (p + q)th term is zero, then the qth term is (a) $-$ p (b) p (c) p + q (d) p $-$ q

Discussion

11413.	Solve each of the following systems of equations by the method of cross-multiplication :a-bx+a+by=2a2-2b2a+b x+y=4ab
Answer» Solve each of the following systems of equations by the method of cross-multiplication : $(a - b) x + (a + b) y = 2 a^{2} - 2 b^{2} (a + b) (x + y) = 4 a b$

Discussion

11414.	Question 20A pen stand made of wood is in the shape of a cuboid with four conical depressions and a cubical depression to hold the pens and pins, respectively. The dimension of the cuboid are 10 cm, 5 cm and 4 cm. The radius of each of the conical depressions is 0.5 cm and the depth is 2.1 cm. The edge of the cubical depression is 3 cm. Find the volume of the wood in the entire stand.
Answer» Question 20 A pen stand made of wood is in the shape of a cuboid with four conical depressions and a cubical depression to hold the pens and pins, respectively. The dimension of the cuboid are 10 cm, 5 cm and 4 cm. The radius of each of the conical depressions is 0.5 cm and the depth is 2.1 cm. The edge of the cubical depression is 3 cm. Find the volume of the wood in the entire stand.

Discussion

11415.	A chord PQ of a circle is parallel to the tangent drawn at a point R of the circle . Prove that R bisects the arc PRQ.
Answer» A chord PQ of a circle is parallel to the tangent drawn at a point R of the circle . Prove that R bisects the arc PRQ.

Discussion

11416.	A 20 m deep well with diameter 7 m is dug and the earth from digging is evenly spread out to form a platform 22 m by 14 m. Find the height of the platform.
Answer» A 20 m deep well with diameter 7 m is dug and the earth from digging is evenly spread out to form a platform 22 m by 14 m. Find the height of the platform.

Discussion

11417.	If the length of sides of a right angled triangle are in arithmetic progression, then find their ratios
Answer» If the length of sides of a right angled triangle are in arithmetic progression, then find their ratios

Discussion

11418.	If the observations 3, 5, 7, 4 have frequencies x, x+4, x-3, x+8 respectively and mean of these observations is 4, then find the value of 'x'.
Answer» If the observations 3, 5, 7, 4 have frequencies x, x+4, x-3, x+8 respectively and mean of these observations is 4, then find the value of 'x'.

Discussion

11419.	Simplify 3x2−25x.
Answer» Simplify $\frac{3}{x^{2}} - \frac{2}{5 x} .$

Discussion

11420.	The perimeters of the two circular ends of a frustum of a cone are 48 cm and 36 cm. If the height of the frustum is 11 cm, find its volume and curved surface area.
Answer» The perimeters of the two circular ends of a frustum of a cone are 48 cm and 36 cm. If the height of the frustum is 11 cm, find its volume and curved surface area.

Discussion

11421.	If the HCF of 408 and 1032 is expressible in the form 1032 m−408×5, find m.
Answer» If the HCF of 408 and 1032 is expressible in the form 1032 $m - 408 \times 5,$ find m.

Discussion

11422.	If x+1x=2. Find the value of x1024+1x1024.
Answer» If $x + \frac{1}{x} = 2$ . Find the value of $x^{1024} + \frac{1}{x^{1024}}$ .

Discussion

11423.	Along a path, 25 conical pillars are constructed. Each pillar has radius 15cm and height 20cm. Find the total cost of painting at the rate of Rupees 50 per centimeter square(take pie =3.14)
Answer» Along a path, 25 conical pillars are constructed. Each pillar has radius 15cm and height 20cm. Find the total cost of painting at the rate of Rupees 50 per centimeter square(take pie =3.14)

Discussion

11424.	Question 3The following observations have been arranged in a scending order. If the median of the data is 63, find the value of x.29,32,48,50, x, x +2, 72, 78,84, 95
Answer» Question 3 The following observations have been arranged in a scending order. If the median of the data is 63, find the value of x. 29,32,48,50, x, x +2, 72, 78,84, 95

Discussion

11425.	if two zeroes of polynomial p(x)=x^4-5x^3-x^2+35x-42 are 2 and 3 ,then findthe other two zeroes of polynomial
Answer» if two zeroes of polynomial p(x)=x^4-5x^3-x^2+35x-42 are 2 and 3 ,then findthe other two zeroes of polynomial

Discussion

11426.	Find 12(A+A′) and 12(A−A′), when A=⎡⎢⎣0ab−a0c−b−c0⎤⎥⎦
Answer» Find $\frac{1}{2} (A + A^{'})$ and $\frac{1}{2} (A - A^{'})$ , when $A = ⎡ ⎢ ⎣ \begin{matrix} 0 & a & b - a & 0 & c - b & - c & 0 \end{matrix} ⎤ ⎥ ⎦$

Discussion

11427.	Fill In The Blanks In a medical examination of students of a class, the following blood groups are recorded: Blood group: A AB B ONumber of students: 10 13 12 5A student is selected at random from the class. The probability that he/she has blood group B, is __________.
Answer» Fill In The Blanks In a medical examination of students of a class, the following blood groups are recorded: Blood group: A AB B O Number of students: 10 13 12 5 A student is selected at random from the class. The probability that he/she has blood group B, is __________.

Discussion

11428.	To divide a line segment AB in the ratio 5 : 6, draw a ray AX such that ∠BAX is an acute angle, then draw a ray BY parallel to AX and the points A1, A2, .... and B1, B2,..... are located at equal distances on rays AX and BY respectively. Then the points joined are(a) A5 and B6(b) A6 and B5(c) A4 and B5(d) A5 and B4
Answer» To divide a line segment AB in the ratio 5 : 6, draw a ray AX such that ∠BAX is an acute angle, then draw a ray BY parallel to AX and the points A₁, A₂, .... and B₁, B₂,..... are located at equal distances on rays AX and BY respectively. Then the points joined are (a) A₅ and B₆ (b) A₆ and B₅ (c) A₄ and B₅ (d) A₅ and B₄

Discussion

11429.	Assertion: If AB = CD, then BE = DE and AE = CE, where E is the point of intersection of AD and BC. Reason: Angles in the same segment are equal. Which of the following options is correct?
Answer» Assertion: If AB = CD, then BE = DE and AE = CE, where E is the point of intersection of AD and BC. Reason: Angles in the same segment are equal. Which of the following options is correct?

11429.

Assertion: If AB = CD, then BE = DE and AE = CE, where E is the point of intersection of AD and BC. Reason: Angles in the same segment are equal. Which of the following options is correct?

Answer»

Assertion: If AB = CD, then BE = DE and AE = CE, where E is the point of intersection of AD and BC.

Reason: Angles in the same segment are equal.

Which of the following options is correct?

Discussion

11430.	Shriya and Vidya solved a quadratic equation. In solving it, Shriya made a mistake in the constant term and obtained the roots as 5, – 3 while Vidya made a mistake in the coefficient of x and obtained the roots as 1, –3. The correct roots of the equation are
Answer» Shriya and Vidya solved a quadratic equation. In solving it, Shriya made a mistake in the constant term and obtained the roots as 5, – 3 while Vidya made a mistake in the coefficient of x and obtained the roots as 1, –3. The correct roots of the equation are

Discussion

11431.	A sequence starts from 12 and 34 is added to every term. Find the sequence.
Answer» A sequence starts from $\frac{1}{2}$ and $\frac{3}{4}$ is added to every term. Find the sequence.

Discussion

11432.	Question1 (iv) Answer the following and justify iv) If on division of a non zero polynomial p(x) by a polynomial g(x), the remainder is zero, what is the relation between the degrees of p(x) and g(x)?
Answer» Question1 (iv) Answer the following and justify iv) If on division of a non zero polynomial p(x) by a polynomial g(x), the remainder is zero, what is the relation between the degrees of p(x) and g(x)?

Discussion

11433.	If 1 is a zero of the polynomial p(x), then which of the following is correct?
Answer» If 1 is a zero of the polynomial p(x), then which of the following is correct?

Discussion

11434.	If 5 sin θ−12 cos θ=0, find the values of sec θ.
Answer» If $5 s i n θ - 12 c o s θ = 0$ , find the values of $s e c θ$ .

Discussion

11435.	All red face cards are removed from a pack of playing cards. The remaining cards are well shuffled and then a card is drawn at random from them. Find the probability that the drawn card is (i) a red card (ii) a face card and (iii) a card of clubs. [CBSE 2015]
Answer» All red face cards are removed from a pack of playing cards. The remaining cards are well shuffled and then a card is drawn at random from them. Find the probability that the drawn card is (i) a red card (ii) a face card and (iii) a card of clubs. [CBSE 2015]

Discussion

11436.	When we write the hcf of any integer in the form of linear combination, how it is written in this form3=7513-8112,while finding the hcf of 273&81
Answer» When we write the hcf of any integer in the form of linear combination, how it is written in this form3=7513-8112,while finding the hcf of 273&81

Discussion

11437.	Question 38 Which of the following can be four interior angles of a quadrilateral? a) 140∘,40∘,20∘,160∘ b) 270∘,150∘,30∘,20∘ c) 40∘,70∘,90∘,60∘ d) 110∘,40∘,30∘,180∘
Answer» Question 38 Which of the following can be four interior angles of a quadrilateral? a) $140^{\circ}, 40^{\circ}, 20^{\circ}, 160^{\circ}$ b) $270^{\circ}, 150^{\circ}, 30^{\circ}, 20^{\circ}$ c) $40^{\circ}, 70^{\circ}, 90^{\circ}, 60^{\circ}$ d) $110^{\circ}, 40^{\circ}, 30^{\circ}, 180^{\circ}$

Discussion

11438.	When the polynomial 2x^3+ 3X^2+ 3x-a is divided by x^2-1 , the remainder is 5x+b , then the value of (a+b) is
Answer» When the polynomial 2x^3+ 3X^2+ 3x-a is divided by x^2-1 , the remainder is 5x+b , then the value of (a+b) is

Discussion

11439.	Let fx be a cubic polynomial such that f2=18 and F1=-1 fx has local maxima at x equals to -1 and fx has local minimaat at x equals to 0 find distance between point (-1,2) and at a point of local minma
Answer» Let fx be a cubic polynomial such that f2=18 and F1=-1 fx has local maxima at x equals to -1 and fx has local minimaat at x equals to 0 find distance between point (-1,2) and at a point of local minma

Discussion

11440.	15. If an isosceles ΔABC, in which AB=AC=6cm is inscribed in a circle of radius 9cm, find the area of the triangle
Answer» 15. If an isosceles ΔABC, in which AB=AC=6cm is inscribed in a circle of radius 9cm, find the area of the triangle

Discussion

11441.

Enter the following transactions in a Single Column Cash Book:- 2016 ₹ Dec. 1 Cash-in-hand 25,000 2 Cash Sales (CGST 6%, SGST 6%) 40,000 4 Received from X on behalf of Y 4,000 9 Paid to Som Pal 4,900 Discount Received 100 12 Received from Vijay Kumar 7,800 and discount allowed 200 20 Bought goods for Cash (CGST 6%, SGST 6%) 20,000 21 Paid Cartage (CGST 6%, SGST 6%) 1,000 23 Remitted to Dharamvir 1,880 and discount allowed by him 120 25 Received M.O. from Mohan 500 27 Borrowed from Mahabir 7,500 29 Received from Bhushan 3,900 discount allowed 100 31 Paid to Lalit ₹ 2,700 in full settlement of his account of ₹ 3,000

Answer» Enter the following transactions in a Single Column Cash Book:-

2016		₹
Dec. 1	Cash-in-hand	25,000
2	Cash Sales (CGST 6%, SGST 6%)	40,000
4	Received from X on behalf of Y	4,000
9	Paid to Som Pal	4,900
	Discount Received	100
12	Received from Vijay Kumar	7,800
	and discount allowed	200
20	Bought goods for Cash (CGST 6%, SGST 6%)	20,000
21	Paid Cartage (CGST 6%, SGST 6%)	1,000
23	Remitted to Dharamvir	1,880
	and discount allowed by him	120
25	Received M.O. from Mohan	500
27	Borrowed from Mahabir	7,500
29	Received from Bhushan	3,900
	discount allowed	100
31	Paid to Lalit ₹ 2,700 in full settlement of his account of ₹ 3,000

Discussion

11442.	Question 9Using Euclid’s division algorithm, find the largest number that divides 1251, 9377 and 15628 leaving remainders 1, 2 and 3, respectively.
Answer» Question 9 Using Euclid’s division algorithm, find the largest number that divides 1251, 9377 and 15628 leaving remainders 1, 2 and 3, respectively.

Discussion

11443.	Question 19(i)Two dice are thrown at the same time. Find the probability of getting same number on both dice.
Answer» Question 19(i) Two dice are thrown at the same time. Find the probability of getting same number on both dice.

Discussion

11444.	If f(X)=0 is a polynomial and f(a),f(b) have opposite sign,then f(X)=0 has atleast one real root in the interval (a,b)Prove the statement
Answer» If f(X)=0 is a polynomial and f(a),f(b) have opposite sign,then f(X)=0 has atleast one real root in the interval (a,b) Prove the statement

Discussion

11445.	Question 5 (viii)Prove the following identities, where the angles involved are acute angles for which the expressions are defined.(viii) (sinA+cosecA)2+(cosA+secA)2=7+tan2A+cot2A
Answer» Question 5 (viii) Prove the following identities, where the angles involved are acute angles for which the expressions are defined. (viii) $(s i n A + c o s e c A)^{2} + (c o s A + s e c A)^{2} = 7 + t a n^{2} A + c o t^{2} A$

Discussion

11446.	Two triangles are said to be similar, if the corresponding sides are ________ and the corresponding angles are ________.
Answer» Two triangles are said to be similar, if the corresponding sides are ________ and the corresponding angles are ________.

Discussion

11447.	Mid-point of the line-segment joining the points (– 5, 4) and (9, – 8) is:
Answer» Mid-point of the line-segment joining the points (– 5, 4) and (9, – 8) is:

Discussion

11448.	A solid is in the shape of a cone surmounted on a hemisphere, the radius of each of them being 3.5 cm and the total height of the solid is 9.5 cm. Find the volume of the solid.
Answer» A solid is in the shape of a cone surmounted on a hemisphere, the radius of each of them being 3.5 cm and the total height of the solid is 9.5 cm. Find the volume of the solid.

Discussion

11449.	Question 5 The decimal expansion of the number √2 is A) A finite decimal B) 1.41421 C) Non-terminating recurring D) Non-terminating non-recurring.
Answer» Question 5 The decimal expansion of the number $\sqrt{2}$ is A) A finite decimal B) 1.41421 C) Non-terminating recurring D) Non-terminating non-recurring.

Discussion

11450.	In an A.P. the first term in 2 and the sum of the first five terms is one-fourth of the next five terms, Show that 20th term is-112.
Answer» In an A.P. the first term in 2 and the sum of the first five terms is one-fourth of the next five terms, Show that $20^{t h}$ term is-112.

Discussion

Explore topic-wise InterviewSolutions in .

Two tangents are drawn from a point P to a circle touching the circle at A and B respectively . If PA = 6 cm and AB = 3 cm, then find the perimeter of triangle ABP .

Find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coefficients:2x2 – x – 6

If a1,a2,a 3 ,a4 are in arithmetic progression, then 1/roota1 root a2 +1/root a2roota3 +1/roota3roota4 is

Solve each of the following systems of equations by the method of cross-multiplication :bx+cy=a+bax1a-b-1a+b+cy1b-a-1b+a=2aa+b

The cost of 5 pens and 8 pencils is ₹120, while the cost of 8 pens and 5 pencils is ₹153.Find the cost of 1 pen and that of 1 pencil.

The lines x−21=y−31=z−4−k and x−1k=y−42=z−51 are coplaner if:

Question 7(c) Find the ratio of the following: 55 paise to Rs 1

45. How many images of a person are formed who is in a room whose two adjacent walls and ceiling are plane mirrors

The radii of the bases of a cylinder and a cone are in the ratio 3 : 4. If their height are in the ratio 2 : 3, then their volumes are in the ratio ________.

The following distribution shows the daily pocket allowance of children of a locality. If the mean pocket allowance is Rs. 18, find the missing frequency f. Daily pocketallowance(in Rs)11−1313−1515−1717−1919−2121−2323−25Frequency76913f54

If terms 9, x, 21 form an arithmetic progression, then the value of x is ____.

Mark the correct alternative in the following question:If in an A.P., the pth term is q and (p + q)th term is zero, then the qth term is(a) -p (b) p (c) p + q (d) p - q

Solve each of the following systems of equations by the method of cross-multiplication :a-bx+a+by=2a2-2b2a+b x+y=4ab

A chord PQ of a circle is parallel to the tangent drawn at a point R of the circle . Prove that R bisects the arc PRQ.

A 20 m deep well with diameter 7 m is dug and the earth from digging is evenly spread out to form a platform 22 m by 14 m. Find the height of the platform.

If the length of sides of a right angled triangle are in arithmetic progression, then find their ratios

If the observations 3, 5, 7, 4 have frequencies x, x+4, x-3, x+8 respectively and mean of these observations is 4, then find the value of 'x'.

Simplify 3x2−25x.

The perimeters of the two circular ends of a frustum of a cone are 48 cm and 36 cm. If the height of the frustum is 11 cm, find its volume and curved surface area.

If the HCF of 408 and 1032 is expressible in the form 1032 m−408×5, find m.

If x+1x=2. Find the value of x1024+1x1024.

Along a path, 25 conical pillars are constructed. Each pillar has radius 15cm and height 20cm. Find the total cost of painting at the rate of Rupees 50 per centimeter square(take pie =3.14)

Question 3The following observations have been arranged in a scending order. If the median of the data is 63, find the value of x.29,32,48,50, x, x +2, 72, 78,84, 95

if two zeroes of polynomial p(x)=x^4-5x^3-x^2+35x-42 are 2 and 3 ,then findthe other two zeroes of polynomial

Find 12(A+A′) and 12(A−A′), when A=⎡⎢⎣0ab−a0c−b−c0⎤⎥⎦

Fill In The Blanks In a medical examination of students of a class, the following blood groups are recorded: Blood group: A AB B ONumber of students: 10 13 12 5A student is selected at random from the class. The probability that he/she has blood group B, is __________.

Assertion: If AB = CD, then BE = DE and AE = CE, where E is the point of intersection of AD and BC. Reason: Angles in the same segment are equal. Which of the following options is correct?

Shriya and Vidya solved a quadratic equation. In solving it, Shriya made a mistake in the constant term and obtained the roots as 5, – 3 while Vidya made a mistake in the coefficient of x and obtained the roots as 1, –3. The correct roots of the equation are

A sequence starts from 12 and 34 is added to every term. Find the sequence.

Question1 (iv) Answer the following and justify iv) If on division of a non zero polynomial p(x) by a polynomial g(x), the remainder is zero, what is the relation between the degrees of p(x) and g(x)?

If 1 is a zero of the polynomial p(x), then which of the following is correct?

If 5 sin θ−12 cos θ=0, find the values of sec θ.

All red face cards are removed from a pack of playing cards. The remaining cards are well shuffled and then a card is drawn at random from them. Find the probability that the drawn card is (i) a red card (ii) a face card and (iii) a card of clubs. [CBSE 2015]

When we write the hcf of any integer in the form of linear combination, how it is written in this form3=75*13-81*12,while finding the hcf of 273&amp;81

Question 38 Which of the following can be four interior angles of a quadrilateral? a) 140∘,40∘,20∘,160∘ b) 270∘,150∘,30∘,20∘ c) 40∘,70∘,90∘,60∘ d) 110∘,40∘,30∘,180∘

When the polynomial 2x^3+ 3X^2+ 3x-a is divided by x^2-1 , the remainder is 5x+b , then the value of (a+b) is

Let fx be a cubic polynomial such that f2=18 and F1=-1 fx has local maxima at x equals to -1 and fx has local minimaat at x equals to 0 find distance between point (-1,2) and at a point of local minma

15. If an isosceles ΔABC, in which AB=AC=6cm is inscribed in a circle of radius 9cm, find the area of the triangle

Question 9Using Euclid’s division algorithm, find the largest number that divides 1251, 9377 and 15628 leaving remainders 1, 2 and 3, respectively.

Question 19(i)Two dice are thrown at the same time. Find the probability of getting same number on both dice.

If f(X)=0 is a polynomial and f(a),f(b) have opposite sign,then f(X)=0 has atleast one real root in the interval (a,b)Prove the statement

Question 5 (viii)Prove the following identities, where the angles involved are acute angles for which the expressions are defined.(viii) (sinA+cosecA)2+(cosA+secA)2=7+tan2A+cot2A

Two triangles are said to be similar, if the corresponding sides are ________ and the corresponding angles are ________.

Mid-point of the line-segment joining the points (– 5, 4) and (9, – 8) is:

A solid is in the shape of a cone surmounted on a hemisphere, the radius of each of them being 3.5 cm and the total height of the solid is 9.5 cm. Find the volume of the solid.

Question 5 The decimal expansion of the number √2 is A) A finite decimal B) 1.41421 C) Non-terminating recurring D) Non-terminating non-recurring.

In an A.P. the first term in 2 and the sum of the first five terms is one-fourth of the next five terms, Show that 20th term is-112.

When we write the hcf of any integer in the form of linear combination, how it is written in this form3=7513-8112,while finding the hcf of 273&81

Two triangles are said to be similar, if the corresponding sides are and the corresponding angles are .