32581 + Interview Questions in Mathematics Page 286 InterviewSolution

14251.	Question 3 (vi) Form the pair of linear equations for the following problems and find their solution by substitution method: Five years hence, the age of Jacob will be three times that of his son. Five years ago, Jacob's age was seven times that of his son. What are their present ages?
Answer» Question 3 (vi) Form the pair of linear equations for the following problems and find their solution by substitution method: Five years hence, the age of Jacob will be three times that of his son. Five years ago, Jacob's age was seven times that of his son. What are their present ages?

Discussion

14252.	A pole 2.6 metres high leans against a wall, with its fool 1 metre away from the wall.When this distance way slightly increased, the top of the pole slide down the wall by the same distance. How far was the foot of the pole shifted?
Answer» A pole 2.6 metres high leans against a wall, with its fool 1 metre away from the wall. When this distance way slightly increased, the top of the pole slide down the wall by the same distance. How far was the foot of the pole shifted?

14252.

A pole 2.6 metres high leans against a wall, with its fool 1 metre away from the wall.When this distance way slightly increased, the top of the pole slide down the wall by the same distance. How far was the foot of the pole shifted?

Answer»

A pole 2.6 metres high leans against a wall, with its fool 1 metre away from the wall.

When this distance way slightly increased, the top of the pole slide down the wall by the same distance. How far was the foot of the pole shifted?

Discussion

14253.	If the centroid of the triangle formed by points P (a, b), Q(b, c) and R (c, a) is at the origin, what is the value of a + b + c?
Answer» If the centroid of the triangle formed by points P (a, b), Q(b, c) and R (c, a) is at the origin, what is the value of a + b + c?

Discussion

14254.	If →a=2^i+3^j and →b=3^j+4^k, then the vector form of the component of →a along →b is
Answer» If $\to a = 2^i + 3^j$ and $\to b = 3^j + 4^k,$ then the vector form of the component of $\to a$ along $\to b$ is

Discussion

14255.	What is the ratio of the volume of a cube to that of a sphere which will fit inside it?
Answer» What is the ratio of the volume of a cube to that of a sphere which will fit inside it?

Discussion

14256.

Joseph purchased following shares, Find his total investment. Company A : 200 shares, FV = Rs 2 Premium = Rs 18 Company B : 45 shares, MV = Rs 500 Company C : 1 share, MV = Rs 10,540.

Answer» Joseph purchased following shares, Find his total investment.

Company A : 200 shares,	FV = Rs 2	Premium = Rs 18
Company B : 45 shares,	MV = Rs 500
Company C : 1 share,	MV = Rs 10,540.

Discussion

14257.	The time taken to travel 30 km upstream and 44 km downstream is 14 hours. If the distance covered in upstream is doubled and distance covered in downstream is increased by 11 km then the total time taken is 11 hours more than earlier. Find the speed of the stream.
Answer» The time taken to travel 30 km upstream and 44 km downstream is 14 hours. If the distance covered in upstream is doubled and distance covered in downstream is increased by 11 km then the total time taken is 11 hours more than earlier. Find the speed of the stream.

Discussion

14258.	Write the coordinates the reflections of points (3, 5) in X and Y -axes.
Answer» Write the coordinates the reflections of points (3, 5) in X and Y -axes.

Discussion

14259.	From a point on the ground the angles of elevation of the bottom and top of a communication tower fixed on the top of a 20-m-high building are 45° and 60° respectively. Find the height of the tower. [Take 3=1.732] [CBSE 2017]
Answer» From a point on the ground the angles of elevation of the bottom and top of a communication tower fixed on the top of a 20-m-high building are 45° and 60° respectively. Find the height of the tower. $[Take \sqrt{3} = 1.732]$ [CBSE 2017]

Discussion

14260.	The equation of x-axis in unsymmetrical form is ___________.
Answer» The equation of x-axis in unsymmetrical form is ___________.

Discussion

14261.	The solution of (x +2 )2 = 25 is
Answer» The solution of (x +2 )² = 25 is

Discussion

14262.	The zeros of the polynomial x2+16x−2 are (a) -3, 4 (b) −32,43 (c) −43,32 (d) none of these
Answer» The zeros of the polynomial $x^{2} + \frac{1}{6} x - 2$ are (a) -3, 4 (b) $\frac{- 3}{2}, \frac{4}{3}$ (c) $\frac{- 4}{3}, \frac{3}{2}$ (d) none of these

14262.

The zeros of the polynomial x2+16x−2 are (a) -3, 4 (b) −32,43 (c) −43,32 (d) none of these

Answer»

The zeros of the polynomial $x^{2} + \frac{1}{6} x - 2$ are

(a) -3, 4 (b) $\frac{- 3}{2}, \frac{4}{3}$ (c) $\frac{- 4}{3}, \frac{3}{2}$ (d) none of these

Discussion

14263.	In a ∆ABC, AD is the bisector of ∠BAC. If AB = 8 cm, BD = 6 cm and DC = 3 cm. Find AC(a) 4 cm(b) 6 cm(c) 3 cm(d) 8 cm
Answer» In a ∆ABC, AD is the bisector of ∠BAC. If AB = 8 cm, BD = 6 cm and DC = 3 cm. Find AC (a) 4 cm (b) 6 cm (c) 3 cm (d) 8 cm

Discussion

14264.

Find the missing frequencies in the following frequency distribution if it is known that the mean of the distribution is 50. x: 10 30 50 70 90 f: 17 f1 32 f2 19 Total 120

Answer» Find the missing frequencies in the following frequency distribution if it is known that the mean of the distribution is 50.

x:	10	30	50	70	90
f:	17	f₁	32	f₂	19	Total 120

Discussion

14265.	The coordinates of the places where the turtle stayed is plotted in the graph.Which of the following tables show the coordinates of the turtle?
Answer» The coordinates of the places where the turtle stayed is plotted in the graph. Which of the following tables show the coordinates of the turtle?

Discussion

14266.	∫_2^31/x\operatorname d{
Answer» ∫_2^31/x\operatorname d{

Discussion

14267.	A cylindrical pencil sharpened at one edge is the combination of a _________and a _________.
Answer» A cylindrical pencil sharpened at one edge is the combination of a _________and a _________.

Discussion

14268.	The sides of a right angled triangle are 5 cm and 12 cm, find the hypotenuse.
Answer» The sides of a right angled triangle are 5 cm and 12 cm, find the hypotenuse.

Discussion

14269.	Question 5The volume of the largest right circular cone that can be fitted in a cube whose edge is 2r equals to the volume of a hemisphere of radius r.
Answer» Question 5 The volume of the largest right circular cone that can be fitted in a cube whose edge is 2r equals to the volume of a hemisphere of radius r.

Discussion

14270.	If 2x,x+10,3x+2 are in AP find the value of x With explaination please
Answer» If 2x,x+10,3x+2 are in AP find the value of x With explaination please

14270.

If 2x,x+10,3x+2 are in AP find the value of x With explaination please

Answer»

If 2x,x+10,3x+2 are in AP find the value of x

With explaination please

Discussion

14271.	A card is drawn at random from a well-shuffled deck of 52 cards. The probability that the card is neither a heart nor a king is:
Answer» A card is drawn at random from a well-shuffled deck of 52 cards. The probability that the card is neither a heart nor a king is:

Discussion

14272.	Two coherent sources produce waves of different intensities which interfere. After interference, the ratio of the maximum intensity to the minimum intensity is 16. The intensity of the waves are in the ratio:
Answer» Two coherent sources produce waves of different intensities which interfere. After interference, the ratio of the maximum intensity to the minimum intensity is $16$ . The intensity of the waves are in the ratio:

Discussion

14273.	Taking O as centre, draw an arc ‘AC’ with radius ‘r’. Cut the arc ‘AC’ at ‘B’, with centre ‘A’ and radius ‘r’. If ‘AB’ is joined in a straight line, what will be the ∠BAO (in degrees)?___
Answer» Taking O as centre, draw an arc ‘AC’ with radius ‘r’. Cut the arc ‘AC’ at ‘B’, with centre ‘A’ and radius ‘r’. If ‘AB’ is joined in a straight line, what will be the $∠ B A O$ (in degrees)? ___

14273.

Taking O as centre, draw an arc ‘AC’ with radius ‘r’. Cut the arc ‘AC’ at ‘B’, with centre ‘A’ and radius ‘r’. If ‘AB’ is joined in a straight line, what will be the ∠BAO (in degrees)?___

Answer»

Taking O as centre, draw an arc ‘AC’ with radius ‘r’. Cut the arc ‘AC’ at ‘B’, with centre ‘A’ and radius ‘r’. If ‘AB’ is joined in a straight line, what will be the $∠ B A O$ (in degrees)?

___

Discussion

14274.	If the system of equations x + y + z = 6, x + 2y + 3z = 10, x + 2y + λz = 12 is inconsistent then λ = __________________.
Answer» If the system of equations x + y + z = 6, x + 2y + 3z = 10, x + 2y + λz = 12 is inconsistent then λ = __________________.

Discussion

14275.	If the median of the data: 24, 25, 26, x + 2, x + 3, 30, 31, 34 is 27.5, then x =(a) 27(b) 25(c) 28(d) 30
Answer» If the median of the data: 24, 25, 26, x + 2, x + 3, 30, 31, 34 is 27.5, then x = (a) 27 (b) 25 (c) 28 (d) 30

Discussion

14276.	A solid sphere of radius 3 cm is melted and then cast into small spherical balls, each of diameter 0.6 cm. Find the number of small balls so obtained.
Answer» A solid sphere of radius 3 cm is melted and then cast into small spherical balls, each of diameter 0.6 cm. Find the number of small balls so obtained.

Discussion

14277.	A capsule of medicine is in the shape of a sphere of diameter 3.5mm. How much medicine (in mm3)is needed to fill this capsule? (Assume π=227)
Answer» A capsule of medicine is in the shape of a sphere of diameter 3.5mm. How much medicine ${(in mm}^{3})$ is needed to fill this capsule? $(Assume π = \frac{22}{7})$

Discussion

14278.	Construct a direct common tangent to two congruent circles of radii 3.5 cm, each and whose centres are 7 cm apart.
Answer» Construct a direct common tangent to two congruent circles of radii 3.5 cm, each and whose centres are 7 cm apart.

Discussion

14279.	The probability that a consonant is selected from the English alphabet is
Answer» The probability that a consonant is selected from the English alphabet is

Discussion

14280.	Find the sum of first 22 terms of an AP in which d = 7 and the 22nd term is 149.
Answer» Find the sum of first 22 terms of an AP in which d = 7 and the 22 $^{n d}$ term is 149.

Discussion

14281.	In a class, there are 18 girls and 16 boys. The class teacher wants to choose one pupil for class monitor. What she does, she writes the name of each pupil on a card and puts them into a basket and mix thoroughly. A child is asked to pick one card from the basket. What is the probability that the name written on the card is :(i) the name of girl (ii) the name of a boy ?
Answer» In a class, there are 18 girls and 16 boys. The class teacher wants to choose one pupil for class monitor. What she does, she writes the name of each pupil on a card and puts them into a basket and mix thoroughly. A child is asked to pick one card from the basket. What is the probability that the name written on the card is : (i) the name of girl (ii) the name of a boy ?

14281.

In a class, there are 18 girls and 16 boys. The class teacher wants to choose one pupil for class monitor. What she does, she writes the name of each pupil on a card and puts them into a basket and mix thoroughly. A child is asked to pick one card from the basket. What is the probability that the name written on the card is :(i) the name of girl (ii) the name of a boy ?

Answer»

In a class, there are 18 girls and 16 boys. The class teacher wants to choose one pupil for class monitor. What she does, she writes the name of each pupil on a card and puts them into a basket and mix thoroughly. A child is asked to pick one card from the basket. What is the probability that the name written on the card is :

(i) the name of girl (ii) the name of a boy ?

Discussion

14282.	Convert the equations in the form of y=mx+c and match the following.
Answer» Convert the equations in the form of $y = m x + c$ and match the following.

Discussion

14283.	Half the perimeter of a rectangular garden, whose length is 4 m more than its width, is 36 m. Find the dimensions of the garden.
Answer» Half the perimeter of a rectangular garden, whose length is 4 m more than its width, is 36 m. Find the dimensions of the garden.

Discussion

14284.	Find the area of a rectangle, if the length of the rectangle is x and the breadth is twice the length the area of the rectangle?
Answer» Find the area of a rectangle, if the length of the rectangle is x and the breadth is twice the length the area of the rectangle?

Discussion

14285.	S1 : Sum of 5 consecutive odd numbersS2 : Sum of 4 consecutive even numbersSum of twice of S1 and thrice of S2 is 178. Also, thrice of S1 and twice of S2 is 177.If all the 9 numbers are arranged in ascending order, the sum of the smallest and largest number is
Answer» $S_{1}$ : Sum of 5 consecutive odd numbers $S_{2}$ : Sum of 4 consecutive even numbers Sum of twice of $S_{1}$ and thrice of $S_{2}$ is 178. Also, thrice of $S_{1}$ and twice of $S_{2}$ is 177. If all the 9 numbers are arranged in ascending order, the sum of the smallest and largest number is

Discussion

14286.	In the given figure, PQ = QR, ∠RQP = 680, PC & CQ are tangents to the circle with center O. Find ∠QOP, ∠PCQ.
Answer» In the given figure, PQ = QR, ∠RQP = 68⁰, PC & CQ are tangents to the circle with center O. Find ∠QOP, ∠PCQ.

14286.

In the given figure, PQ = QR, ∠RQP = 680, PC & CQ are tangents to the circle with center O. Find ∠QOP, ∠PCQ.

Answer»

In the given figure, PQ = QR, ∠RQP = 68⁰, PC & CQ are tangents to the circle with center O. Find ∠QOP, ∠PCQ.

Discussion

14287.	Question 14 A medicine – capsule is in the shape of a cylinder of diameter 0.5 cm with two hemispheres stuck to each of its ends. The length of entire capsule is 2 cm. the capacity of the capsule is (A) 0.36 cm3 (B) 0.35 cm3 (C) 0.34 cm3 (D) 0.33 cm3
Answer» Question 14 A medicine – capsule is in the shape of a cylinder of diameter 0.5 cm with two hemispheres stuck to each of its ends. The length of entire capsule is 2 cm. the capacity of the capsule is (A) $0.36 c m^{3}$ (B) $0.35 c m^{3}$ (C) $0.34 c m^{3}$ (D) $0.33 c m^{3}$

Discussion

14288.	On selling a tv at 5% gain and a fridge 10% gain, a shopkeeper gains 2000.Butifhesellstheatvat101500 on the transaction. Find the actual price of tv and fridge.
Answer» On selling a tv at 5% gain and a fridge 10% gain, a shopkeeper gains $2000. B u t i f h e s e l l s t h e a t v a t 10$ 1500 on the transaction. Find the actual price of tv and fridge.

Discussion

14289.	Find the quadratic polynomial whose sum of its zeroes (roots) is −85 and the product of the zeroes (roots) is 75.
Answer» Find the quadratic polynomial whose sum of its zeroes (roots) is $- \frac{8}{5}$ and the product of the zeroes (roots) is $\frac{7}{5}$ .

Discussion

14290.	If a and b are roots of the equation x2 + ax + b = 0, then a + b =(a) 1(b) 2(c) −2(d) −1
Answer» If a and b are roots of the equation x² + ax + b = 0, then a + b = (a) 1 (b) 2 (c) −2 (d) −1

Discussion

14291.	Question 8 Any point on the line y = x is of the form: A) (a, a) B) (0, a) C) (a, 0) D) (a, -a)
Answer» Question 8 Any point on the line y = x is of the form: A) (a, a) B) (0, a) C) (a, 0) D) (a, -a)

Discussion

14292.	A solid metallic right circular cone 20 cm high and whose vertical angle is 60°, is cut into two parts at the middle of its height by a plane parallel to its base. If the frustum so obtained be drawn into a wire of diameter 112 cm, then find the length of the wire. [HOTS] [CBSE 2014]
Answer» A solid metallic right circular cone 20 cm high and whose vertical angle is 60°, is cut into two parts at the middle of its height by a plane parallel to its base. If the frustum so obtained be drawn into a wire of diameter $\frac{1}{12}$ cm, then find the length of the wire. [HOTS] [CBSE 2014]

Discussion

14293.	The shaded region shown in fig. is given by the inequation
Answer» The shaded region shown in fig. is given by the inequation

14293.

The shaded region shown in fig. is given by the inequation

Answer»

The shaded region shown in fig. is given by the inequation

Discussion

14294.	Find the equation of the circle which passes through the origin and has its center on the line x + y + 4 = 0 and cuts the circle x2+y2−4x+2y+4=0 orthogonally.
Answer» Find the equation of the circle which passes through the origin and has its center on the line $x + y + 4 = 0$ and cuts the circle $x^{2} + y^{2} - 4 x + 2 y + 4 = 0$ orthogonally.

Discussion

14295.	In a circle of radius 35 cm, an arc subtends an angle of 72° at the centre. Find the length of the arc and area of the sector.
Answer» In a circle of radius 35 cm, an arc subtends an angle of 72° at the centre. Find the length of the arc and area of the sector.

Discussion

14296.	A die is thrown once. Find the probability of getting: i) a number divisible by 3 ii) a factor of 6 iii) either 3 or 4 iv) neither 2 nor 4 v) a number from 1 to 6 vi) a number 7 [6 MARKS]
Answer» A die is thrown once. Find the probability of getting: i) a number divisible by 3 ii) a factor of 6 iii) either 3 or 4 iv) neither 2 nor 4 v) a number from 1 to 6 vi) a number 7 [6 MARKS]

Discussion

14297.	Explain briefly about Trigonometric Ratios. Using geometric idea derived the values of the trigonometric ratios of the angle 30^° , 45^° ,60^° and 90^° .
Answer» Explain briefly about Trigonometric Ratios. Using geometric idea derived the values of the trigonometric ratios of the angle 30^° , 45^° ,60^° and 90^° .

Discussion

14298.	Question 6A shuttle cock used for playing badminton has the shape of the combination of(A) a cylinder and a sphere(B) a cylinder and a hemisphere(C) a sphere and a cone(D) frustum of a cone and a hemisphere
Answer» Question 6 A shuttle cock used for playing badminton has the shape of the combination of (A) a cylinder and a sphere (B) a cylinder and a hemisphere (C) a sphere and a cone (D) frustum of a cone and a hemisphere

Discussion

14299.	if the equations x^2+abx+c=0 and x^2+acx+b=0 have a common root the teir other roots satisfy the equati
Answer» if the equations x^2+abx+c=0 and x^2+acx+b=0 have a common root the teir other roots satisfy the equati

Discussion

14300.	A building is in the form of a cylinder surmounted by a hemispherical vaulted dome and contains 411921m3 of air. If the internal diameter of dome is equal to its total height above the floor, find the height of the building?
Answer» A building is in the form of a cylinder surmounted by a hemispherical vaulted dome and contains $41 \frac{19}{21} m^{3}$ of air. If the internal diameter of dome is equal to its total height above the floor, find the height of the building?

Discussion

Explore topic-wise InterviewSolutions in .

Question 3 (vi) Form the pair of linear equations for the following problems and find their solution by substitution method: Five years hence, the age of Jacob will be three times that of his son. Five years ago, Jacob's age was seven times that of his son. What are their present ages?

A pole 2.6 metres high leans against a wall, with its fool 1 metre away from the wall.When this distance way slightly increased, the top of the pole slide down the wall by the same distance. How far was the foot of the pole shifted?

If the centroid of the triangle formed by points P (a, b), Q(b, c) and R (c, a) is at the origin, what is the value of a + b + c?

If →a=2^i+3^j and →b=3^j+4^k, then the vector form of the component of →a along →b is

What is the ratio of the volume of a cube to that of a sphere which will fit inside it?

Joseph purchased following shares, Find his total investment. Company A : 200 shares, FV = Rs 2 Premium = Rs 18 Company B : 45 shares, MV = Rs 500 Company C : 1 share, MV = Rs 10,540.

The time taken to travel 30 km upstream and 44 km downstream is 14 hours. If the distance covered in upstream is doubled and distance covered in downstream is increased by 11 km then the total time taken is 11 hours more than earlier. Find the speed of the stream.

Write the coordinates the reflections of points (3, 5) in X and Y -axes.

From a point on the ground the angles of elevation of the bottom and top of a communication tower fixed on the top of a 20-m-high building are 45° and 60° respectively. Find the height of the tower. [Take 3=1.732] [CBSE 2017]

​The equation of x-axis in unsymmetrical form is ___________.

The solution of (x +2 )2 = 25 is

The zeros of the polynomial x2+16x−2 are (a) -3, 4 (b) −32,43 (c) −43,32 (d) none of these

In a ∆ABC, AD is the bisector of ∠BAC. If AB = 8 cm, BD = 6 cm and DC = 3 cm. Find AC(a) 4 cm(b) 6 cm(c) 3 cm(d) 8 cm

Find the missing frequencies in the following frequency distribution if it is known that the mean of the distribution is 50. x: 10 30 50 70 90 f: 17 f1 32 f2 19 Total 120

The coordinates of the places where the turtle stayed is plotted in the graph.Which of the following tables show the coordinates of the turtle?

∫_2^31/x\operatorname d{

A cylindrical pencil sharpened at one edge is the combination of a _________and a _________.

The sides of a right angled triangle are 5 cm and 12 cm, find the hypotenuse.

Question 5The volume of the largest right circular cone that can be fitted in a cube whose edge is 2r equals to the volume of a hemisphere of radius r.

If 2x,x+10,3x+2 are in AP find the value of x With explaination please

A card is drawn at random from a well-shuffled deck of 52 cards. The probability that the card is neither a heart nor a king is:

Two coherent sources produce waves of different intensities which interfere. After interference, the ratio of the maximum intensity to the minimum intensity is 16. The intensity of the waves are in the ratio:

Taking O as centre, draw an arc ‘AC’ with radius ‘r’. Cut the arc ‘AC’ at ‘B’, with centre ‘A’ and radius ‘r’. If ‘AB’ is joined in a straight line, what will be the ∠BAO (in degrees)?___

If the system of equations x + y + z = 6, x + 2y + 3z = 10, x + 2y + λz = 12 is inconsistent then λ = __________________.

If the median of the data: 24, 25, 26, x + 2, x + 3, 30, 31, 34 is 27.5, then x =(a) 27(b) 25(c) 28(d) 30

A solid sphere of radius 3 cm is melted and then cast into small spherical balls, each of diameter 0.6 cm. Find the number of small balls so obtained.

A capsule of medicine is in the shape of a sphere of diameter 3.5mm. How much medicine (in mm3)is needed to fill this capsule? (Assume π=227)

Construct a direct common tangent to two congruent circles of radii 3.5 cm, each and whose centres are 7 cm apart.

The probability that a consonant is selected from the English alphabet is

Find the sum of first 22 terms of an AP in which d = 7 and the 22nd term is 149.

Convert the equations in the form of y=mx+c and match the following.

Half the perimeter of a rectangular garden, whose length is 4 m more than its width, is 36 m. Find the dimensions of the garden.

Find the area of a rectangle, if the length of the rectangle is x and the breadth is twice the length the area of the rectangle?

S1 : Sum of 5 consecutive odd numbersS2 : Sum of 4 consecutive even numbersSum of twice of S1 and thrice of S2 is 178. Also, thrice of S1 and twice of S2 is 177.If all the 9 numbers are arranged in ascending order, the sum of the smallest and largest number is

In the given figure, PQ = QR, ∠RQP = 680, PC &amp; CQ are tangents to the circle with center O. Find ∠QOP, ∠PCQ.

Question 14 A medicine – capsule is in the shape of a cylinder of diameter 0.5 cm with two hemispheres stuck to each of its ends. The length of entire capsule is 2 cm. the capacity of the capsule is (A) 0.36 cm3 (B) 0.35 cm3 (C) 0.34 cm3 (D) 0.33 cm3

On selling a tv at 5% gain and a fridge 10% gain, a shopkeeper gains 2000.Butifhesellstheatvat101500 on the transaction. Find the actual price of tv and fridge.

Find the quadratic polynomial whose sum of its zeroes (roots) is −85 and the product of the zeroes (roots) is 75.

If a and b are roots of the equation x2 + ax + b = 0, then a + b =(a) 1(b) 2(c) −2(d) −1

Question 8 Any point on the line y = x is of the form: A) (a, a) B) (0, a) C) (a, 0) D) (a, -a)

A solid metallic right circular cone 20 cm high and whose vertical angle is 60°, is cut into two parts at the middle of its height by a plane parallel to its base. If the frustum so obtained be drawn into a wire of diameter 112 cm, then find the length of the wire. [HOTS] [CBSE 2014]

The shaded region shown in fig. is given by the inequation

Find the equation of the circle which passes through the origin and has its center on the line x + y + 4 = 0 and cuts the circle x2+y2−4x+2y+4=0 orthogonally.

In a circle of radius 35 cm, an arc subtends an angle of 72° at the centre. Find the length of the arc and area of the sector.

A die is thrown once. Find the probability of getting: i) a number divisible by 3 ii) a factor of 6 iii) either 3 or 4 iv) neither 2 nor 4 v) a number from 1 to 6 vi) a number 7 [6 MARKS]

Explain briefly about Trigonometric Ratios. Using geometric idea derived the values of the trigonometric ratios of the angle 30^° , 45^° ,60^° and 90^° .

Question 6A shuttle cock used for playing badminton has the shape of the combination of(A) a cylinder and a sphere(B) a cylinder and a hemisphere(C) a sphere and a cone(D) frustum of a cone and a hemisphere

if the equations x^2+abx+c=0 and x^2+acx+b=0 have a common root the teir other roots satisfy the equati

A building is in the form of a cylinder surmounted by a hemispherical vaulted dome and contains 411921m3 of air. If the internal diameter of dome is equal to its total height above the floor, find the height of the building?

The equation of x-axis in unsymmetrical form is ___________.

A cylindrical pencil sharpened at one edge is the combination of a _and a _.

In the given figure, PQ = QR, ∠RQP = 680, PC & CQ are tangents to the circle with center O. Find ∠QOP, ∠PCQ.