24740 + Interview Questions in Mathematics Page 147 InterviewSolution

7301.	If ABCD is a square of 28 cm and APD and BPC are semi-circles, the area of shaded region in the given figure is .
Answer» If ABCD is a square of 28 cm and APD and BPC are semi-circles, the area of shaded region in the given figure is .

Discussion

7302.	If x^2+y^2= 1,then (4x^3-3x)^2+(3y-4y^3)^2
Answer» If x^2+y^2= 1,then (4x^3-3x)^2+(3y-4y^3)^2

Discussion

7303.	Is it mandatory to use the kink or jagged line only in histogram? Can I use it on a bar graph? Also can I use it on Y Axis of histogram and bar graph?
Answer» Is it mandatory to use the kink or jagged line only in histogram? Can I use it on a bar graph? Also can I use it on Y Axis of histogram and bar graph?

Discussion

7304.	According to the graph given below, find the value of y co-ordinate if x co-ordinate is 10.514.5
Answer» According to the graph given below, find the value of $y$ co-ordinate if $x$ co-ordinate is $10.5$ 14.5

Discussion

7305.	Find the area of a triangle two sides of which are 18cm and 10cm and the perimeter is 42 cm.
Answer» Find the area of a triangle two sides of which are 18cm and 10cm and the perimeter is 42 cm.

Discussion

7306.	let P(x) be ou polynomial of degree 11 suchthat P(x) = 1/x+1 ; for x=0,1,2, . - - 11. Thevalue of P(12) is
Answer» let P(x) be ou polynomial of degree 11 such that P(x) = 1/x+1 ; for x=0,1,2, . - - 11. The value of P(12) is

Discussion

7307.	Let A={a,e,i,o,u} and B={a,b,c,d}. Is A a subset of B? No, (Why?). Is B a subset of A? No, (Why?).
Answer» Let $A = {a, e, i, o, u}$ and $B = {a, b, c, d}$ . Is $A$ a subset of $B$ ? No, (Why?). Is $B$ a subset of $A$ ? No, (Why?).

Discussion

7308.	How to represent irrational numbers on number line
Answer» How to represent irrational numbers on number line

Discussion

7309.	40 bags of cotton cost ₹ 2,200. But by exchanging 25 bags to the shopkeeper, we get 30 grams of silver. Find the price of 150 grams of silver by exchanging relevant number of cotton bags.
Answer» 40 bags of cotton cost ₹ 2,200. But by exchanging 25 bags to the shopkeeper, we get 30 grams of silver. Find the price of 150 grams of silver by exchanging relevant number of cotton bags.

Discussion

7310.	A triangle ABC is right angled at A. AL is drawn perpendicular to BC. Prove that ∠ BAL = ∠ACB.
Answer» A triangle ABC is right angled at A. AL is drawn perpendicular to BC. Prove that $∠$ BAL = $∠$ ACB.

Discussion

7311.	Question 4ABC is an isosceles triangle right angled at C. Prove that AB2=2AC2.
Answer» Question 4 ABC is an isosceles triangle right angled at C. Prove that $A B^{2} = 2 A C^{2}$ .

Discussion

7312.	Question 4The angles of a triangle are in the ratio 5 : 3 : 7. The triangle is:A) An acute-angled triangleB) An obtuse-angled triangleC) A right-angled triangleD) An isosceles triangle
Answer» Question 4 The angles of a triangle are in the ratio 5 : 3 : 7. The triangle is: A) An acute-angled triangle B) An obtuse-angled triangle C) A right-angled triangle D) An isosceles triangle

Discussion

7313.	Question 5The quadrilateral formed by joining the mid – points of the side of quadrilateral PQRS, taken in order, is a rhombus, if(A) PQRS is a rhombus(B) PQRS is a parallelogram(C) diagonals of PQRS are perpendicular(D) diagonals of PQRS are equal.
Answer» Question 5 The quadrilateral formed by joining the mid – points of the side of quadrilateral PQRS, taken in order, is a rhombus, if (A) PQRS is a rhombus (B) PQRS is a parallelogram (C) diagonals of PQRS are perpendicular (D) diagonals of PQRS are equal.

Discussion

7314.	ABC is right-angled triangle at B. Given that AB = 9 cm, AC = 15 cm and D and E are the mid-points of the sides AB and AC respectively, calculate the area of ΔADE.
Answer» ABC is right-angled triangle at B. Given that AB = 9 cm, AC = 15 cm and D and E are the mid-points of the sides AB and AC respectively, calculate the area of $Δ A D E$ .

Discussion

7315.	In the following figure ABCD and PQRS are parallelograms. Find the measure of x in degrees.50
Answer» In the following figure ABCD and PQRS are parallelograms. Find the measure of x in degrees. 50

Discussion

7316.	In the given figure, POQ is a line. The value of x is ___________.
Answer» In the given figure, POQ is a line. The value of x is ___________.

Discussion

7317.	The goals scored by Messi in recent football matches are: 1, 1, 2, 3, 3, 2, 2, 2, 1, 2, 2, 1, 2, 2, 3. Find the mode of the observations.2
Answer» The goals scored by Messi in recent football matches are: 1, 1, 2, 3, 3, 2, 2, 2, 1, 2, 2, 1, 2, 2, 3. Find the mode of the observations. 2

Discussion

7318.	Draw a quadrilateral with measures as given below:Draw a triangle of equal are and compute its area.
Answer» Draw a quadrilateral with measures as given below: Draw a triangle of equal are and compute its area.

7318.

Draw a quadrilateral with measures as given below:Draw a triangle of equal are and compute its area.

Answer»

Draw a quadrilateral with measures as given below:

Draw a triangle of equal are and compute its area.

Discussion

7319.	Draw the graphs of the equations given below(i) x + y = 2 (ii) 3x - y = 0 (iii) 2x + y = 1
Answer» Draw the graphs of the equations given below (i) x + y = 2 (ii) 3x $-$ y = 0 (iii) 2x + y = 1

Discussion

7320.

Match the following: A B 1) (m + 2n) (m − 2n) a) m2 − 16 2) (3m + n) (3m − n) b) 4m2 − 25n2 3) (m + 4) (m − 4) c) 4m2 + 25n2 4) (2m + 5n) (2m − 5n) d) m2 − 4n2 e) 9m2 + n2 f) 9m2 − n2

Answer»

Match the following:

A		B
1)	(m + 2n) (m − 2n)	a)	m² − 16
2)	(3m + n) (3m − n)	b)	4m² − 25n²
3)	(m + 4) (m − 4)	c)	4m² + 25n²
4)	(2m + 5n) (2m − 5n)	d)	m² − 4n²
		e)	9m² + n²
		f)	9m² − n²

Discussion

7321.	In the given figure, diagonals AC and BD of quadrilateral ABCD intersect at O such that OB = OD. If AB = CD, then show that:(i) ar (DOC) = ar (AOB)(ii) ar (DCB) = ar (ACB)(iii) DA \|\| CB or ABCD is a parallelogram.[Hint: From D and B, draw perpendiculars to AC.]
Answer» In the given figure, diagonals AC and BD of quadrilateral ABCD intersect at O such that OB = OD. If AB = CD, then show that: (i) ar (DOC) = ar (AOB) (ii) ar (DCB) = ar (ACB) (iii) DA \|\| CB or ABCD is a parallelogram. [Hint: From D and B, draw perpendiculars to AC.]

7321.

In the given figure, diagonals AC and BD of quadrilateral ABCD intersect at O such that OB = OD. If AB = CD, then show that:(i) ar (DOC) = ar (AOB)(ii) ar (DCB) = ar (ACB)(iii) DA || CB or ABCD is a parallelogram.[Hint: From D and B, draw perpendiculars to AC.]

Answer»

In the given figure, diagonals AC and BD of quadrilateral ABCD intersect at O such that OB = OD. If AB = CD, then show that:

(i) ar (DOC) = ar (AOB)

(ii) ar (DCB) = ar (ACB)

(iii) DA || CB or ABCD is a parallelogram.

[Hint: From D and B, draw perpendiculars to AC.]

Discussion

7322.	29. In an acute angled triangle ABC, if sin(A+B-C)=1/2 and cos(B+C-A)=1/2, find angle A,B, and C.
Answer» 29. In an acute angled triangle ABC, if sin(A+B-C)=1/2 and cos(B+C-A)=1/2, find angle A,B, and C.

Discussion

7323.	In the given figure, if ∠BOC is thrice of ∠AOC, then the angles are equal to
Answer» In the given figure, if ∠BOC is thrice of ∠AOC, then the angles are equal to

Discussion

7324.	In the figure, the diagonals of a trapezium split it into four triangles.What is the area of the whole trapezium?
Answer» In the figure, the diagonals of a trapezium split it into four triangles. What is the area of the whole trapezium?

Discussion

7325.	Consider the following three statementsStatement - 1: Heron’s formula is applied only for calculating the area of a triangle.Statement - 2: If the four sides of a quadrilateral are given, then its area can be calculated by using the Heron’s formula.Statement - 3: Heron’s formula is also known as Hero’s formula.Which of the following is true?
Answer» Consider the following three statements Statement - 1: Heron’s formula is applied only for calculating the area of a triangle. Statement - 2: If the four sides of a quadrilateral are given, then its area can be calculated by using the Heron’s formula. Statement - 3: Heron’s formula is also known as Hero’s formula. Which of the following is true?

Discussion

7326.	There are 68 students of 9th standard from model Highschool, Nandpur. They have scored following marks out of 80, in written exam of mathematics.70, 50, 60, 66, 45, 46, 38, 30, 40, 47, 56, 68, 80, 79, 39, 43, 57, 61, 51, 32, 42, 43, 75, 43, 36, 37, 61, 71, 32, 40, 45, 32, 36, 42, 43, 55, 56, 62, 66, 72, 73, 78, 36, 46, 47, 52, 68, 78, 80, 49, 59, 69, 65, 35, 46, 56, 57, 60, 36, 37, 45, 42, 70, 37, 45, 66, 56, 47By taking classes 30-40, 40-50, .... prepare the less than type cumulative frequency tableUsing the table, answer the following questions :(i) How many students, have scored marks less than 80 ?(ii) How many students have scored marks less than 40 ?(iii) How many students have scored marks less than 60 ?
Answer» There are 68 students of 9th standard from model Highschool, Nandpur. They have scored following marks out of 80, in written exam of mathematics. 70, 50, 60, 66, 45, 46, 38, 30, 40, 47, 56, 68, 80, 79, 39, 43, 57, 61, 51, 32, 42, 43, 75, 43, 36, 37, 61, 71, 32, 40, 45, 32, 36, 42, 43, 55, 56, 62, 66, 72, 73, 78, 36, 46, 47, 52, 68, 78, 80, 49, 59, 69, 65, 35, 46, 56, 57, 60, 36, 37, 45, 42, 70, 37, 45, 66, 56, 47 By taking classes 30-40, 40-50, .... prepare the less than type cumulative frequency table Using the table, answer the following questions : (i) How many students, have scored marks less than 80 ? (ii) How many students have scored marks less than 40 ? (iii) How many students have scored marks less than 60 ?

Discussion

7327.	If AP bisects angle BAC and M is any point on AP, prove that the perpendiculars drawn from M to AB and AC are equal.
Answer» If AP bisects angle BAC and M is any point on AP, prove that the perpendiculars drawn from M to AB and AC are equal.

Discussion

7328.	If the mean of observations 20, 42, 35, 45 and x is 37, then x =(a) 43 (b) 42 (c) 44 (d) 45
Answer» If the mean of observations 20, 42, 35, 45 and x is 37, then x = (a) 43 (b) 42 (c) 44 (d) 45

Discussion

7329.	Question 11 A class consists of 50 students out of which 30 are girls. The mean of marks scored by girls in a test is 73 ( out of 100) and that of boys is 71. Determine the mean score of the whole class.
Answer» Question 11 A class consists of 50 students out of which 30 are girls. The mean of marks scored by girls in a test is 73 ( out of 100) and that of boys is 71. Determine the mean score of the whole class.

Discussion

7330.	Let S(K)=1+3+5+.....+(2K−1)=3+K2. Then which of the following is true?
Answer» Let $S (K) = 1 + 3 + 5 + . . . . . + (2 K - 1) = 3 + K^{2}$ . Then which of the following is true?

Discussion

7331.	In the given figure AB∥EF∥DC; AB = 67.5 cm. DC = 40.5 cm and AE = 52.5 cm. Find the length of EF.
Answer» In the given figure $A B ∥ E F ∥ D C$ ; AB = 67.5 cm. DC = 40.5 cm and AE = 52.5 cm. Find the length of EF.

7331.

In the given figure AB∥EF∥DC; AB = 67.5 cm. DC = 40.5 cm and AE = 52.5 cm. Find the length of EF.

Answer»

In the given figure $A B ∥ E F ∥ D C$ ; AB = 67.5 cm. DC = 40.5 cm and AE = 52.5 cm. Find the length of EF.

Discussion

7332.	The X-component and Y-components of a vector P and PX=4√3m and Py =-4m. whatithe angle made by p with positive x-axis?
Answer» The X-component and Y-components of a vector P and PX=4√3m and Py =-4m. whatithe angle made by p with positive x-axis?

Discussion

7333.	If the sides of a triangle are a, b and c. Then, what is the semi perimeter of the triangle?
Answer» If the sides of a triangle are a, b and c. Then, what is the semi perimeter of the triangle?

Discussion

7334.	Find the value of x3 + y3 − 12xy + 64, when x + y =−4
Answer» Find the value of x³ + y³ − 12xy + 64, when x + y =−4

Discussion

7335.	Question 6If (1, 2), (4, y), (x, 6) and (3, 5) are the vertices of a parallelogram taken in order, find x and y.
Answer» Question 6 If (1, 2), (4, y), (x, 6) and (3, 5) are the vertices of a parallelogram taken in order, find x and y.

Discussion

7336.	Angles of a quadrilateral are in the ratio 1:2:3:4 Find all the angles.
Answer» Angles of a quadrilateral are in the ratio $1 : 2 : 3 : 4$ Find all the angles.

Discussion

7337.	In the figure above, find the missing length DE assuming BC is parallel to DE.
Answer» In the figure above, find the missing length DE assuming BC is parallel to DE.

7337.

In the figure above, find the missing length DE assuming BC is parallel to DE.

Answer»

In the figure above, find the missing length DE assuming BC is parallel to DE.

Discussion

7338.	Draw a square WXYZ with side 5.2 cm.
Answer» Draw a square WXYZ with side 5.2 cm.

Discussion

7339.	If r is the radius and h is height of the cylinder the volume will be (a) 13πr2 h (b) πr2 h (c) 2π r (h+r) (d) 2π rh
Answer» If r is the radius and h is height of the cylinder the volume will be (a) $\frac{1}{3} π r^{2}$ h (b) $π r^{2}$ h (c) $2 π$ r (h+r) (d) $2 π$ rh

7339.

If r is the radius and h is height of the cylinder the volume will be (a) 13πr2 h (b) πr2 h (c) 2π r (h+r) (d) 2π rh

Answer»

If r is the radius and h is height of the cylinder the volume will be

(a) $\frac{1}{3} π r^{2}$ h (b) $π r^{2}$ h

(c) $2 π$ r (h+r) (d) $2 π$ rh

Discussion

7340.	Factorise 4x²-y²-3xy+2x-2y
Answer» Factorise 4x²-y²-3xy+2x-2y

7340.

Factorise 4x²-y²-3xy+2x-2y

Answer»

Factorise

4x²-y²-3xy+2x-2y

Discussion

7341.	Question 17 Determine which of the following polynomial has x – 2 a factor: (i) 3x2+6x−24 (ii) 4x2+x–2
Answer» Question 17 Determine which of the following polynomial has x – 2 a factor: (i) $3 x^{2} + 6 x - 24$ (ii) $4 x^{2} + x - 2$

Discussion

7342.	Prove the following trigonometric identities.1+cot A+tan A sin A-cos A=sec Acosec2 A-cosec Asec2 A=sin A tan A-cot A cos A
Answer» Prove the following trigonometric identities. $(1 + \cot A + \tan A) (\sin A - \cos A) = \frac{\sec A}{{cosec}^{2} A} - \frac{cosec A}{\sec^{2} A} = \sin A \tan A - \cot A \cos A$

Discussion

7343.	The simplest rationalisation ractor of 22-3 is(a) 22+3(b) 22+3(c) 2+3(d) 2-3
Answer» The simplest rationalisation ractor of $(2 \sqrt{2} - \sqrt{3})$ is (a) $2 \sqrt{2} + 3$ (b) $2 \sqrt{2} + \sqrt{3}$ (c) $\sqrt{2} + \sqrt{3}$ (d) $\sqrt{2} - \sqrt{3}$

Discussion

7344.	(i) A 5-m-wide cloth is used to make a conical tent of base diameter 14 m and height 24 m. Find the cost of cloth used at the rate of ₹25 per metre. [CBSE 2014](ii) The radius and height of a solid right-circular cone are in the ratio of 5 : 12. If its volume is 314 cm3, find the total surface area. [Take π = 3.14.] [CBSE 2017]
Answer» (i) A 5-m-wide cloth is used to make a conical tent of base diameter 14 m and height 24 m. Find the cost of cloth used at the rate of ₹25 per metre. [CBSE 2014] (ii) The radius and height of a solid right-circular cone are in the ratio of 5 : 12. If its volume is 314 cm³, find the total surface area. [Take π = 3.14.] [CBSE 2017]

Discussion

7345.	If 2 and -3 are the zeroes of the polynomial x^2+(a+1)x+b, then find the value of a and b.
Answer» If 2 and -3 are the zeroes of the polynomial x^2+(a+1)x+b, then find the value of a and b.

Discussion

7346.	The height of a solid cone is 12 cm and the area of the circular base is 64πcm2. A plane parallel to the base of the cone cuts through the cone 9 cm above the vertex of the cone, the areas of the base of the new cone so formed is(a) 9π cm2(b) 16π cm2(c) 25π cm2(d) 36π cm2
Answer» The height of a solid cone is 12 cm and the area of the circular base is 64 $π$ cm². A plane parallel to the base of the cone cuts through the cone 9 cm above the vertex of the cone, the areas of the base of the new cone so formed is (a) 9 $π$ cm² (b) 16 $π$ cm² (c) 25 $π$ cm² (d) 36 $π$ cm²

Discussion

7347.	In a factory 70% of the workers like oranges and 64% likes apples. If x% like both oranges and apples, then the possible values of x are
Answer» In a factory 70% of the workers like oranges and 64% likes apples. If x% like both oranges and apples, then the possible values of x are

Discussion

7348.	In the given figure, AB \|\| CD and P is any point shown in the figure. Prove that:∠ABP + ∠BPD + ∠CDP = 360°
Answer» In the given figure, AB \|\| CD and P is any point shown in the figure. Prove that: ∠ABP + ∠BPD + ∠CDP = 360°

Discussion

7349.	x = a represents a plane parallel to ____________________.
Answer» x = a represents a plane parallel to ____________________.

Discussion

7350.

Consider the system of linear equations. x + 2y + z =1 2x + 3y + z = 2 2x + 2y + 4z =1. The sum of values in solution of (x,y,z) will be __

Answer»

Consider the system of linear equations.

x + 2y + z =1

2x + 3y + z = 2

2x + 2y + 4z =1. The sum of values in solution of (x,y,z) will be __

Discussion

Explore topic-wise InterviewSolutions in .

If ABCD is a square of 28 cm and APD and BPC are semi-circles, the area of shaded region in the given figure is .

If x^2+y^2= 1,then (4x^3-3x)^2+(3y-4y^3)^2

Is it mandatory to use the kink or jagged line only in histogram? Can I use it on a bar graph? Also can I use it on Y Axis of histogram and bar graph?

According to the graph given below, find the value of y co-ordinate if x co-ordinate is 10.514.5

Find the area of a triangle two sides of which are 18cm and 10cm and the perimeter is 42 cm.

let P(x) be ou polynomial of degree 11 suchthat P(x) = 1/x+1 ; for x=0,1,2, . - - 11. Thevalue of P(12) is

Let A={a,e,i,o,u} and B={a,b,c,d}. Is A a subset of B? No, (Why?). Is B a subset of A? No, (Why?).

How to represent irrational numbers on number line

40 bags of cotton cost ₹ 2,200. But by exchanging 25 bags to the shopkeeper, we get 30 grams of silver. Find the price of 150 grams of silver by exchanging relevant number of cotton bags.

A triangle ABC is right angled at A. AL is drawn perpendicular to BC. Prove that ∠ BAL = ∠ACB.

Question 4ABC is an isosceles triangle right angled at C. Prove that AB2=2AC2.

Question 4The angles of a triangle are in the ratio 5 : 3 : 7. The triangle is:A) An acute-angled triangleB) An obtuse-angled triangleC) A right-angled triangleD) An isosceles triangle

Question 5The quadrilateral formed by joining the mid – points of the side of quadrilateral PQRS, taken in order, is a rhombus, if(A) PQRS is a rhombus(B) PQRS is a parallelogram(C) diagonals of PQRS are perpendicular(D) diagonals of PQRS are equal.

ABC is right-angled triangle at B. Given that AB = 9 cm, AC = 15 cm and D and E are the mid-points of the sides AB and AC respectively, calculate the area of ΔADE.

In the following figure ABCD and PQRS are parallelograms. Find the measure of x in degrees.50

In the given figure, POQ is a line. The value of x is ___________.

The goals scored by Messi in recent football matches are: 1, 1, 2, 3, 3, 2, 2, 2, 1, 2, 2, 1, 2, 2, 3. Find the mode of the observations.2

Draw a quadrilateral with measures as given below:Draw a triangle of equal are and compute its area.

Draw the graphs of the equations given below(i) x + y = 2 (ii) 3x - y = 0 (iii) 2x + y = 1

Match the following: A B 1) (m + 2n) (m − 2n) a) m2 − 16 2) (3m + n) (3m − n) b) 4m2 − 25n2 3) (m + 4) (m − 4) c) 4m2 + 25n2 4) (2m + 5n) (2m − 5n) d) m2 − 4n2 e) 9m2 + n2 f) 9m2 − n2

In the given figure, diagonals AC and BD of quadrilateral ABCD intersect at O such that OB = OD. If AB = CD, then show that:(i) ar (DOC) = ar (AOB)(ii) ar (DCB) = ar (ACB)(iii) DA || CB or ABCD is a parallelogram.[Hint: From D and B, draw perpendiculars to AC.]

29. In an acute angled triangle ABC, if sin(A+B-C)=1/2 and cos(B+C-A)=1/2, find angle A,B, and C.

In the given figure, if ∠BOC is thrice of ∠AOC, then the angles are equal to

In the figure, the diagonals of a trapezium split it into four triangles.What is the area of the whole trapezium?

If AP bisects angle BAC and M is any point on AP, prove that the perpendiculars drawn from M to AB and AC are equal.

If the mean of observations 20, 42, 35, 45 and x is 37, then x =(a) 43 (b) 42 (c) 44 (d) 45

Question 11 A class consists of 50 students out of which 30 are girls. The mean of marks scored by girls in a test is 73 ( out of 100) and that of boys is 71. Determine the mean score of the whole class.

Let S(K)=1+3+5+.....+(2K−1)=3+K2. Then which of the following is true?

In the given figure AB∥EF∥DC; AB = 67.5 cm. DC = 40.5 cm and AE = 52.5 cm. Find the length of EF.

The X-component and Y-components of a vector P and PX=4√3m and Py =-4m. whatithe angle made by p with positive x-axis?

If the sides of a triangle are a, b and c. Then, what is the semi perimeter of the triangle?

Find the value of x3 + y3 − 12xy + 64, when x + y =−4

Question 6If (1, 2), (4, y), (x, 6) and (3, 5) are the vertices of a parallelogram taken in order, find x and y.

Angles of a quadrilateral are in the ratio 1:2:3:4 Find all the angles.

In the figure above, find the missing length DE assuming BC is parallel to DE.

Draw a square WXYZ with side 5.2 cm.

If r is the radius and h is height of the cylinder the volume will be (a) 13πr2 h (b) πr2 h (c) 2π r (h+r) (d) 2π rh

Factorise 4x²-y²-3xy+2x-2y

Question 17 Determine which of the following polynomial has x – 2 a factor: (i) 3x2+6x−24 (ii) 4x2+x–2

Prove the following trigonometric identities.1+cot A+tan A sin A-cos A=sec Acosec2 A-cosec Asec2 A=sin A tan A-cot A cos A

The simplest rationalisation ractor of 22-3 is(a) 22+3(b) 22+3(c) 2+3(d) 2-3

If 2 and -3 are the zeroes of the polynomial x^2+(a+1)x+b, then find the value of a and b.

The height of a solid cone is 12 cm and the area of the circular base is 64πcm2. A plane parallel to the base of the cone cuts through the cone 9 cm above the vertex of the cone, the areas of the base of the new cone so formed is(a) 9π cm2(b) 16π cm2(c) 25π cm2(d) 36π cm2

In a factory 70% of the workers like oranges and 64% likes apples. If x% like both oranges and apples, then the possible values of x are

In the given figure, AB || CD and P is any point shown in the figure. Prove that:∠ABP + ∠BPD + ∠CDP = 360°

x = a represents a plane parallel to ____________________.

Consider the system of linear equations. x + 2y + z =1 2x + 3y + z = 2 2x + 2y + 4z =1. The sum of values in solution of (x,y,z) will be __