32581 + Interview Questions in Mathematics Page 30 InterviewSolution

1451.	If secθ+tanθ=p ,prove that = (p²-1)/(p²+1).
Answer» If secθ+tanθ=p ,prove that = (p²-1)/(p²+1).

Discussion

1452.	The 5th and 8th terms of a G.P. are 48 and 384 respectively. Find the G.P. if terms of G.P. are real numbers.
Answer» The $5^{t h} a n d 8^{t h}$ terms of a G.P. are 48 and 384 respectively. Find the G.P. if terms of G.P. are real numbers.

Discussion

1453.	Question 87 Fill in the blanks to make the statements true. If one diagonal of a rectangle is 6 cm long, length of the other diagonal is ___.
Answer» Question 87 Fill in the blanks to make the statements true. If one diagonal of a rectangle is 6 cm long, length of the other diagonal is ___.

Discussion

1454.	A circus artist is climbing a 30 m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. Find the distance of the foot of the pole to the peg in the ground, if the angle made by the rope with the ground level is 30∘.
Answer» A circus artist is climbing a 30 m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. Find the distance of the foot of the pole to the peg in the ground, if the angle made by the rope with the ground level is $30^{\circ}$ .

Discussion

1455.	A factory is designed as shown in the figure. There are 150 people working in the factory and each occupy a space of 0.5 m3. Find the maximum volume available to place machinery in the factory. (Take π=227)
Answer» A factory is designed as shown in the figure. There are 150 people working in the factory and each occupy a space of 0.5 $m^{3}$ . Find the maximum volume available to place machinery in the factory. (Take $π = \frac{22}{7}$ )

1455.

A factory is designed as shown in the figure. There are 150 people working in the factory and each occupy a space of 0.5 m3. Find the maximum volume available to place machinery in the factory. (Take π=227)

Answer»

A factory is designed as shown in the figure. There are 150 people working in the factory and each occupy a space of 0.5 $m^{3}$ . Find the maximum volume available to place machinery in the factory. (Take $π = \frac{22}{7}$ )

Discussion

1456.	A man sold Rs 100 shares at 10% discount and invested in 15% rupees fifty shares at Rs 33. Had he sold his shares at 10% premium instead of 10% discount, he would have earned Rs 450 more. Find the number of shares sold by him. [4 MARKS]
Answer» A man sold Rs 100 shares at $10 %$ discount and invested in $15 %$ rupees fifty shares at Rs 33. Had he sold his shares at $10 %$ premium instead of $10 %$ discount, he would have earned Rs 450 more. Find the number of shares sold by him. [4 MARKS]

Discussion

1457.	ABC is a right-angled triangle at B, in which AB = 3 cm and BC = 4 cm, Draw its incircle. [3 MARKS]
Answer» ABC is a right-angled triangle at B, in which AB = 3 cm and BC = 4 cm, Draw its incircle. [3 MARKS]

Discussion

1458.	Write the discriminant of the following quadratic equations:(i) 2x2 − 5x + 3 = 0(ii) x2 + 2x + 4 = 0(iii) (x − 1) (2x − 1) = 0(iv) x2 − 2x + k = 0, k ∈ R(v) 3x2+22x-23=0(vi) x2 − x + 1 = 0(vii) (x + 5)2 = 2(5x – 3)
Answer» Write the discriminant of the following quadratic equations: (i) 2x² − 5x + 3 = 0 (ii) x² + 2x + 4 = 0 (iii) (x − 1) (2x − 1) = 0 (iv) x² − 2x + k = 0, k ∈ R (v) $\sqrt{3} x^{2} + 2 \sqrt{2} x - 2 \sqrt{3} = 0$ (vi) x² − x + 1 = 0 (vii) (x + 5)² = 2(5x – 3)

Discussion

1459.	Activity: Note the frequency of two wheelers, three wheelers, and four wheelers going past during time interval, in front of your school gate. Find the probability that any one vehicle out of total vehicles you have observed is a two – wheeler.
Answer» Activity: Note the frequency of two wheelers, three wheelers, and four wheelers going past during time interval, in front of your school gate. Find the probability that any one vehicle out of total vehicles you have observed is a two – wheeler.

Discussion

1460.	A die rolled 150 times and it outcomes are recorded below : Outcome123456Frequency253015283220 Find probability of getting : 1. An odd number 2. A multiple of 4
Answer» A die rolled 150 times and it outcomes are recorded below : $\begin{matrix} O u t c o m e & 1 & 2 & 3 & 4 & 5 & 6 F r e q u e n c y & 25 & 30 & 15 & 28 & 32 & 20 \end{matrix}$ Find probability of getting : 1. An odd number 2. A multiple of 4

Discussion

1461.	. Prove that:tan θ sec θ + 1 . cosec θ + 1cot θ
Answer» . Prove that:tan θ sec θ + 1 . cosec θ + 1cot θ

Discussion

1462.	29 Let ABC be a triangle with AB=AC.if D is mid point of BC, E the foot of perpendicular drawn from D to AC and F the mid point DE then prove that AF is perpendicular to BE.
Answer» 29 Let ABC be a triangle with AB=AC.if D is mid point of BC, E the foot of perpendicular drawn from D to AC and F the mid point DE then prove that AF is perpendicular to BE.

Discussion

1463.	The angle of elevation of a cloud from a point h metre above a lake is θ. The angle of depression of its reflection in the lake is 45∘. The height of the cloud is :
Answer» The angle of elevation of a cloud from a point h metre above a lake is $θ$ . The angle of depression of its reflection in the lake is $45^{\circ}$ . The height of the cloud is :

Discussion

1464.	28. If alpha and beta are zeroes of p(x)=2x-5x+7, then find a polynomial whose zeroes are 2alpha+3bita and 3alpha+2 bita
Answer» 28. If alpha and beta are zeroes of p(x)=2x-5x+7, then find a polynomial whose zeroes are 2alpha+3bita and 3alpha+2 bita

Discussion

1465.	Prove that 5√2 is irrational.
Answer» Prove that $5 \sqrt{2}$ is irrational.

Discussion

1466.	The area of the circle that can be inscribed in a square of side 6 cm is __________.
Answer» The area of the circle that can be inscribed in a square of side 6 cm is __________.

Discussion

1467.	The HCF of two numbers is 18 and their product is 12960. Find their LCM.
Answer» The HCF of two numbers is 18 and their product is 12960. Find their LCM.

Discussion

1468.	In triangle ABC, D is a point on AB and E is a point on AC such that DE \|\| BC. If ADAB = AEx, Then x is ___.
Answer» In triangle ABC, D is a point on AB and E is a point on AC such that DE \|\| BC. If $\frac{A D}{A B}$ = $\frac{A E}{x}$ , Then $x$ is ___.

Discussion

1469.	Will the circles be identical if they have the same radius ?
Answer» Will the circles be identical if they have the same radius ?

Discussion

1470.	Find the largest number which divides 615 and 963 leaving the remainder 6 in each case.
Answer» Find the largest number which divides 615 and 963 leaving the remainder 6 in each case.

Discussion

1471.	The beginning of an ogive represents the:
Answer» The beginning of an ogive represents the:

Discussion

1472.	How many spherical bullets each of 5 cm in diameter can be cast from a rectangular block of metal 11dm × 1 m × 5 dm?
Answer» How many spherical bullets each of 5 cm in diameter can be cast from a rectangular block of metal 11dm × 1 m × 5 dm?

Discussion

1473.	Prove irrational : 10_/2+7_/3
Answer» Prove irrational : 10_/2+7_/3

Discussion

1474.

Mr. Chaturvedi maintains two bank accounts. Prepare his columnar cash book from the following particulars: 2016 (₹) May 1 Cash in hand 34,000 Balance with Hongkong Bank 75,200 Balance with Citi Bank 1,20,000 May 3 Cash drawn from Citi Bank for office use 25,000 May 8 Sold goods to Diwedi for ₹ 80,000 and received from him ₹ 20,000 in cash and a cheque for the balance. The cheque is deposited in Hongkong Bank on 9th and the bank credited the amount on 15th and debited ₹ 25 as its collection charges. May 12 Purchased goods for ₹ 40,000 at 20% trade discount. 25% of the amount is paid in cash and issued a cheque on Citi Bank for the balance amount. May 20 Paid Wages ₹ 36,000 and Salary ₹ 4,000. May 22 A cheque for ₹ 50,000 is drawn on Citi Bank and it is deposited in Hongkong Bank. May 23 Purchased land for ₹ 3,20,000 and a cheque is issued on Hongkong Bank. May 24 A cheque for ₹ 10,000 which was received from Mohan and was deposited in Citi Bank on 25th April is dishonoured and the bank debited ₹ 100 as bank charges on this cheque. The amount of dishonoured cheque and bank charges is received from Mohan in cash on 25th. May 26 Deposited cash ₹ 30,000 in Hongkong Bank. May 28 Sold old typewriter for ₹ 2,000 and old newspapers for ₹200 in cash. May 30 Interest charged by Hongkong Bank ₹ 400. May 31 Bank charges by Citi Bank ₹ 180 and Hongkong Bank ₹ 340.

Answer» Mr. Chaturvedi maintains two bank accounts. Prepare his columnar cash book from the following particulars:

2016		(₹)
May 1	Cash in hand	34,000
	Balance with Hongkong Bank	75,200
	Balance with Citi Bank	1,20,000
May 3	Cash drawn from Citi Bank for office use	25,000
May 8	Sold goods to Diwedi for ₹ 80,000 and received from him ₹ 20,000 in cash and a cheque for the balance. The cheque is deposited in Hongkong Bank on 9th and the bank credited the amount on 15th and debited ₹ 25 as its collection charges.
May 12	Purchased goods for ₹ 40,000 at 20% trade discount. 25% of the amount is paid in cash and issued a cheque on Citi Bank for the balance amount.
May 20	Paid Wages ₹ 36,000 and Salary ₹ 4,000.
May 22	A cheque for ₹ 50,000 is drawn on Citi Bank and it is deposited in Hongkong Bank.
May 23	Purchased land for ₹ 3,20,000 and a cheque is issued on Hongkong Bank.
May 24	A cheque for ₹ 10,000 which was received from Mohan and was deposited in Citi Bank on 25th April is dishonoured and the bank debited ₹ 100 as bank charges on this cheque. The amount of dishonoured cheque and bank charges is received from Mohan in cash on 25th.
May 26	Deposited cash ₹ 30,000 in Hongkong Bank.
May 28	Sold old typewriter for ₹ 2,000 and old newspapers for ₹200 in cash.
May 30	Interest charged by Hongkong Bank ₹ 400.
May 31	Bank charges by Citi Bank ₹ 180 and Hongkong Bank ₹ 340.

Discussion

1475.	Choose the correct answer of the following:The radius (in cm) of the largest right circular cone that can be cut out from a cube of edge 4.2 cm is(a) 2.1 (b) 4.2 (c) 8.4 (d) 1.05 [CBSE 2011]
Answer» Choose the correct answer of the following: The radius (in cm) of the largest right circular cone that can be cut out from a cube of edge 4.2 cm is (a) 2.1 (b) 4.2 (c) 8.4 (d) 1.05 [CBSE 2011]

Discussion

1476.	Students of Grade 12, planned to plant saplings along straight lines, parallel to each other to one side of the playground ensuring that they had enough play area. Let us assume that they planted one of the rows of the saplings along the line y=x−4. Let L be the set of all lines which are parallel on the ground and R be a relation on L.Let f:R→R be defined by f(x)=x−4. Then the range of f is [2 marks]
Answer» Students of Grade $12,$ planned to plant saplings along straight lines, parallel to each other to one side of the playground ensuring that they had enough play area. Let us assume that they planted one of the rows of the saplings along the line $y = x - 4.$ Let $L$ be the set of all lines which are parallel on the ground and $R$ be a relation on $L .$ Let $f : R \to R$ be defined by $f (x) = x - 4.$ Then the range of $f$ is [2 marks]

Discussion

1477.	How many parts did Bruce cut the pie into?
Answer» How many parts did Bruce cut the pie into?

Discussion

1478.	A circle is inscribed in an equilateral triangle ABC is side 12 cm, touching its sides (the following figure). Find the radius of the inscribed circle and the area of the shaded part.
Answer» A circle is inscribed in an equilateral triangle ABC is side 12 cm, touching its sides (the following figure). Find the radius of the inscribed circle and the area of the shaded part.

Discussion

1479.	Multiples of 3Numbers which leave a remainder 1 on dividing by 3Number which leave a remainder 2 on dividing by 3
Answer» Multiples of 3 Numbers which leave a remainder 1 on dividing by 3 Number which leave a remainder 2 on dividing by 3

1479.

Multiples of 3Numbers which leave a remainder 1 on dividing by 3Number which leave a remainder 2 on dividing by 3

Answer»

Multiples of 3

Numbers which leave a remainder 1 on dividing by 3

Number which leave a remainder 2 on dividing by 3

Discussion

1480.	53. From a pack of cards a card is drawn at random find the probability of getting a queen.
Answer» 53. From a pack of cards a card is drawn at random find the probability of getting a queen.

Discussion

1481.	Must the class intervals be continuous for mean,median,mode?
Answer» Must the class intervals be continuous for mean,median,mode?

Discussion

1482.	The midpoint of side BC of triangle ABC, with A(1,-4) and the midpoints of the sides through A being (2,-1) and (0,-12) is
Answer» The midpoint of side BC of triangle ABC, with A(1,-4) and the midpoints of the sides through A being (2,-1) and (0,-12) is

Discussion

1483.	The radius of a hemispherical balloon increases from 6 cm to 12 cm as air is being pumped into. The ratio of the surface areas of the balloon in two cases is __________.
Answer» The radius of a hemispherical balloon increases from 6 cm to 12 cm as air is being pumped into. The ratio of the surface areas of the balloon in two cases is __________.

Discussion

1484.	the orthocentre of the triangle formed by the points (1,3),(2,4),(2,3) is ?
Answer» the orthocentre of the triangle formed by the points (1,3),(2,4),(2,3) is ?

Discussion

1485.	Two tangents PA and PB are drawn from an external point P to the circle with centre O, such that ∠APB =120∘what is the relation between OP and AP?
Answer» Two tangents PA and PB are drawn from an external point P to the circle with centre O, such that $∠$ APB = $120^{\circ}$ what is the relation between OP and AP?

1485.

Two tangents PA and PB are drawn from an external point P to the circle with centre O, such that ∠APB =120∘what is the relation between OP and AP?

Answer»

Two tangents PA and PB are drawn from an external point P to the circle with centre O, such that $∠$ APB = $120^{\circ}$ what is the relation between OP and AP?

Discussion

1486.	(i) If the sum of 7 terms of an A.P. is 49 and that of 17 terms is 289, find the sum of n terms.(ii) If the sum of first four terms of an A.P. is 40 and that of first 14 terms is 280. Find the sum of its first n terms.
Answer» (i) If the sum of 7 terms of an A.P. is 49 and that of 17 terms is 289, find the sum of n terms. (ii) If the sum of first four terms of an A.P. is 40 and that of first 14 terms is 280. Find the sum of its first n terms.

Discussion

1487.	A survey was conducted by a group of students as a part of their environment awareness program, in which they collected the following data regarding the number of plants in 20 houses in a locality. Find the mean number of plants per house. Number of plants0−22−44−66−88−1010−1212−14Number of Houses1215623 Which method did you use for finding the mean, and why?
Answer» A survey was conducted by a group of students as a part of their environment awareness program, in which they collected the following data regarding the number of plants in $20$ houses in a locality. Find the mean number of plants per house. $\begin{matrix} Number of plants & 0 - 2 & 2 - 4 & 4 - 6 & 6 - 8 & 8 - 10 & 10 - 12 & 12 - 14 Number of Houses & 1 & 2 & 1 & 5 & 6 & 2 & 3 \end{matrix}$ Which method did you use for finding the mean, and why?

1487.

A survey was conducted by a group of students as a part of their environment awareness program, in which they collected the following data regarding the number of plants in 20 houses in a locality. Find the mean number of plants per house. Number of plants0−22−44−66−88−1010−1212−14Number of Houses1215623 Which method did you use for finding the mean, and why?

Answer»

A survey was conducted by a group of students as a part of their environment awareness program, in which they collected the following data regarding the number of plants in $20$ houses in a locality. Find the mean number of plants per house.

$\begin{matrix} Number of plants & 0 - 2 & 2 - 4 & 4 - 6 & 6 - 8 & 8 - 10 & 10 - 12 & 12 - 14 Number of Houses & 1 & 2 & 1 & 5 & 6 & 2 & 3 \end{matrix}$

Which method did you use for finding the mean, and why?

Discussion

1488.	ABC is an equilateral triangle. If D is a point on side BC such that BD : BC =1:3, then Find the ratio AD2:AB2.
Answer» ABC is an equilateral triangle. If D is a point on side BC such that BD : BC =1:3, then Find the ratio $A D^{2} : A B^{2}$ .

Discussion

1489.	The circumference of a circle is 39.6 cm. Find its area.
Answer» The circumference of a circle is 39.6 cm. Find its area.

Discussion

1490.	A 1.8 m tall man is standing at some distance from a building. The angle of elevation from his eyes to the top of the building increases from 30∘ to 60∘ as he walks 20 m towards the building. Find the height of the building (in m).
Answer» A 1.8 m tall man is standing at some distance from a building. The angle of elevation from his eyes to the top of the building increases from $30^{\circ}$ to $60^{\circ}$ as he walks 20 m towards the building. Find the height of the building (in m).

Discussion

1491.	Describe the sample space for the indicated experiment :A coin is tossed three times.
Answer» Describe the sample space for the indicated experiment : A coin is tossed three times.

Discussion

1492.	Which of the following should be the LAST sentence after rearrangement?
Answer» Which of the following should be the LAST sentence after rearrangement?

Discussion

1493.	A pattern is given below. You have to identify which among the following pieces will not be required to complete the pattern.
Answer» A pattern is given below. You have to identify which among the following pieces will not be required to complete the pattern.

1493.

A pattern is given below. You have to identify which among the following pieces will not be required to complete the pattern.

Answer»

A pattern is given below. You have to identify which among the following pieces will not be required to complete the pattern.

Discussion

1494.	If y=f(x)=ax−bbx−a,x≠ab,\|a\|≠\|b\|, then f(y)=
Answer» If $y = f (x) = \frac{a x - b}{b x - a}, x \neq \frac{a}{b}, \| a \| \neq \| b \|,$ then $f (y) =$

Discussion

1495.	Question 7 (iii)In the below figure, altitudes AD and CE of ΔABC intersect each other at the point P. Show that(iii) ΔAEP∼ΔADB
Answer» Question 7 (iii) In the below figure, altitudes AD and CE of $Δ A B C$ intersect each other at the point P. Show that (iii) $Δ A E P \sim Δ A D B$

Discussion

1496.	Sort the following values of cotx in ascending order.
Answer» Sort the following values of $cot x$ in ascending order.

Discussion

1497.	The shortest distance between the pair of skew lines:x=−y+2=−z+2 and x−2=−y+1=z+1 is 1√n. Then the value of n is:
Answer» The shortest distance between the pair of skew lines: $x = - y + 2 = - z + 2$ and $x - 2 = - y + 1 = z + 1$ is $\frac{1}{\sqrt{n}}$ . Then the value of $n$ is:

Discussion

1498.	In ∆ABC, AB = 5 cm, BC = 8 cm and CA = 7 cm. If D and E are respectively the mid-points of AB and BC, then DE = __________.
Answer» In ∆ABC, AB = 5 cm, BC = 8 cm and CA = 7 cm. If D and E are respectively the mid-points of AB and BC, then DE = __________.

Discussion

1499.	If -1, 1 & 3 are the zeroes of a cubic polynomial, then the correct expression of the polynomial is .
Answer» If -1, 1 & 3 are the zeroes of a cubic polynomial, then the correct expression of the polynomial is .

Discussion

1500.

Solve the following inequation and graph the solution on number line, 2y – 3 < y + 1 < 4y + 7: y ε R.

Answer»

Solve the following inequation and graph the solution on number line,

2y – 3 < y + 1 < 4y + 7: y ε R.

Discussion

Explore topic-wise InterviewSolutions in .

If secθ+tanθ=p ,prove that = (p²-1)/(p²+1).

The 5th and 8th terms of a G.P. are 48 and 384 respectively. Find the G.P. if terms of G.P. are real numbers.

Question 87 Fill in the blanks to make the statements true. ​​​​​​​If one diagonal of a rectangle is 6 cm long, length of the other diagonal is ___.

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

A factory is designed as shown in the figure. There are 150 people working in the factory and each occupy a space of 0.5 m3. Find the maximum volume available to place machinery in the factory. (Take π=227)

A man sold Rs 100 shares at 10% discount and invested in 15% rupees fifty shares at Rs 33. Had he sold his shares at 10% premium instead of 10% discount, he would have earned Rs 450 more. Find the number of shares sold by him. [4 MARKS]

ABC is a right-angled triangle at B, in which AB = 3 cm and BC = 4 cm, Draw its incircle. [3 MARKS]

Write the discriminant of the following quadratic equations:(i) 2x2 − 5x + 3 = 0(ii) x2 + 2x + 4 = 0(iii) (x − 1) (2x − 1) = 0(iv) x2 − 2x + k = 0, k ∈ R(v) 3x2+22x-23=0(vi) x2 − x + 1 = 0(vii) (x + 5)2 = 2(5x – 3)

Activity: Note the frequency of two wheelers, three wheelers, and four wheelers going past during time interval, in front of your school gate. Find the probability that any one vehicle out of total vehicles you have observed is a two – wheeler.

A die rolled 150 times and it outcomes are recorded below : Outcome123456Frequency253015283220 Find probability of getting : 1. An odd number 2. A multiple of 4

. Prove that:tan θ sec θ + 1 . cosec θ + 1cot θ

29 Let ABC be a triangle with AB=AC.if D is mid point of BC, E the foot of perpendicular drawn from D to AC and F the mid point DE then prove that AF is perpendicular to BE.

The angle of elevation of a cloud from a point h metre above a lake is θ. The angle of depression of its reflection in the lake is 45∘. The height of the cloud is :

28. If alpha and beta are zeroes of p(x)=2x-5x+7, then find a polynomial whose zeroes are 2alpha+3bita and 3alpha+2 bita

Prove that 5√2 is irrational.

The area of the circle that can be inscribed in a square of side 6 cm is __________.

The HCF of two numbers is 18 and their product is 12960. Find their LCM.

In triangle ABC, D is a point on AB and E is a point on AC such that DE || BC. If ADAB = AEx, Then x is ___.

Will the circles be identical if they have the same radius ?

Find the largest number which divides 615 and 963 leaving the remainder 6 in each case.

The beginning of an ogive represents the:

How many spherical bullets each of 5 cm in diameter can be cast from a rectangular block of metal 11dm × 1 m × 5 dm?

Prove irrational : 10_/2+7_/3

Choose the correct answer of the following:The radius (in cm) of the largest right circular cone that can be cut out from a cube of edge 4.2 cm is(a) 2.1 (b) 4.2 (c) 8.4 (d) 1.05 [CBSE 2011]

How many parts did Bruce cut the pie into?

A circle is inscribed in an equilateral triangle ABC is side 12 cm, touching its sides (the following figure). Find the radius of the inscribed circle and the area of the shaded part.

Multiples of 3Numbers which leave a remainder 1 on dividing by 3Number which leave a remainder 2 on dividing by 3

53. From a pack of cards a card is drawn at random find the probability of getting a queen.

Must the class intervals be continuous for mean,median,mode?

The midpoint of side BC of triangle ABC, with A(1,-4) and the midpoints of the sides through A being (2,-1) and (0,-12) is

The radius of a hemispherical balloon increases from 6 cm to 12 cm as air is being pumped into. The ratio of the surface areas of the balloon in two cases is __________.

the orthocentre of the triangle formed by the points (1,3),(2,4),(2,3) is ?

Two tangents PA and PB are drawn from an external point P to the circle with centre O, such that ∠APB =120∘what is the relation between OP and AP?

(i) If the sum of 7 terms of an A.P. is 49 and that of 17 terms is 289, find the sum of n terms.(ii) If the sum of first four terms of an A.P. is 40 and that of first 14 terms is 280. Find the sum of its first n terms.

ABC is an equilateral triangle. If D is a point on side BC such that BD : BC =1:3, then Find the ratio AD2:AB2.

The circumference of a circle is 39.6 cm. Find its area.

A 1.8 m tall man is standing at some distance from a building. The angle of elevation from his eyes to the top of the building increases from 30∘ to 60∘ as he walks 20 m towards the building. Find the height of the building (in m).

Describe the sample space for the indicated experiment :A coin is tossed three times.

Which of the following should be the LAST sentence after rearrangement?

A pattern is given below. You have to identify which among the following pieces will not be required to complete the pattern.

If y=f(x)=ax−bbx−a,x≠ab,|a|≠|b|, then f(y)=

Question 7 (iii)In the below figure, altitudes AD and CE of ΔABC intersect each other at the point P. Show that(iii) ΔAEP∼ΔADB

Sort the following values of cotx in ascending order.

The shortest distance between the pair of skew lines:x=−y+2=−z+2 and x−2=−y+1=z+1 is 1√n. Then the value of n is:

In ∆ABC, AB = 5 cm, BC = 8 cm and CA = 7 cm. If D and E are respectively the mid-points of AB and BC, then DE = __________.

If -1, 1 &amp; 3 are the zeroes of a cubic polynomial, then the correct expression of the polynomial is .

Solve the following inequation and graph the solution on number line, 2y – 3 &lt; y + 1 &lt; 4y + 7: y ε R.

Question 87 Fill in the blanks to make the statements true. If one diagonal of a rectangle is 6 cm long, length of the other diagonal is ___.

If -1, 1 & 3 are the zeroes of a cubic polynomial, then the correct expression of the polynomial is .

Solve the following inequation and graph the solution on number line, 2y – 3 < y + 1 < 4y + 7: y ε R.