32581 + Interview Questions in Mathematics

1.	which of following is correct order of dipole moment: (1) H2O BF3 (3) XeF2 SF4
Answer» which of following is correct order of dipole moment: (1) H2O BF3 (3) XeF2 SF4

Discussion

2.	tan1∘.tan2∘.tan3∘..........tan89∘
Answer» $t a n 1^{\circ} . t a n 2^{\circ} . t a n 3^{\circ} . . . . . . . . . . t a n 89^{\circ}$

Discussion

3.	An army contingent of 616 member is to March behind an army band of 32 members in A parade the two groups are to March in the same number of columns what is the maximum number of columns in which they can march
Answer» An army contingent of 616 member is to March behind an army band of 32 members in A parade the two groups are to March in the same number of columns what is the maximum number of columns in which they can march

Discussion

4.	ABCD is a rectangle whose three vertices are B(4, 0), C(4, 3) and D(0, 3). Find the length of one of its diagonal.
Answer» ABCD is a rectangle whose three vertices are B(4, 0), C(4, 3) and D(0, 3). Find the length of one of its diagonal.

Discussion

5.	The roots of the equation px^2-2(p+2)x+3p=0 are alpha and beta .If alpha- beta=2, calculate the value of Alpha, beta and p
Answer» The roots of the equation px^2-2(p+2)x+3p=0 are alpha and beta .If alpha- beta=2, calculate the value of Alpha, beta and p

Discussion

6.

A and B are partners sharing profits in the ratio of 4 : 3. Their Balance Sheet as at 31st March, 2019 stood as: Liabilities Amount (₹) Assets Amount (₹) Sundry Creditors 28,000 Cash 20,000 Reserve 42,000 Sundry Debtors 1,20,000 Capital A/cs: Stock 1,40,000 A 2,40,000 Fixed Assets 1,50,000 B 1,20,000 3,60,000 4,30,000 4,30,000 They decided that with effect from 1st April, 2019, they will share profits and losses in the ratio of 2 : 1. For this purpose they decided that:(i) Fixed Assets are to be reduced by 10%.(ii) A Provision for Doubtful Debts of 6% be made on Sundry Debtors.(iii) Stock be valued at ₹ 1,90,000.(iv) An amount of ₹ 3,700 included in Creditors is not likely to be claimed .Partners decided to record the revised values in the books. However, they do not want to disturb the Reserve. You are required to pass Journal entries, prepare Capital Accounts of Partners and the revised Balance Sheet.

Answer» A and B are partners sharing profits in the ratio of 4 : 3. Their Balance Sheet as at 31st March, 2019 stood as:


Liabilities		Amount (₹)	Assets	Amount (₹)
Sundry Creditors		28,000	Cash	20,000
Reserve		42,000	Sundry Debtors	1,20,000
Capital A/cs:			Stock	1,40,000
A	2,40,000		Fixed Assets	1,50,000
B	1,20,000	3,60,000
		4,30,000		4,30,000

They decided that with effect from 1st April, 2019, they will share profits and losses in the ratio of 2 : 1. For this purpose they decided that:

(i) Fixed Assets are to be reduced by 10%.

(ii) A Provision for Doubtful Debts of 6% be made on Sundry Debtors.

(iii) Stock be valued at ₹ 1,90,000.

(iv) An amount of ₹ 3,700 included in Creditors is not likely to be claimed .

Partners decided to record the revised values in the books. However, they do not want to disturb the Reserve. You are required to pass Journal entries, prepare Capital Accounts of Partners and the revised Balance Sheet.

Discussion

7.	If A, B, C are the angles of a triangle, then sin(B+C2)= ___.
Answer» If A, B, C are the angles of a triangle, then $sin (\frac{B + C}{2}) =$ ___.

Discussion

8.	Two dice are rolled. Find the probability that the sum of the digits on the upper face is 7.
Answer» Two dice are rolled. Find the probability that the sum of the digits on the upper face is 7.

Discussion

9.	The point (-5, 0) on reflection in a line is mapped as (5, 0) and the point (-2, -6) on reflection in the same line is mapped as (2, -6). (a) Name the line of reflection. (b) Write the co-ordinates of the image of (5, -8) in the line obtained in (a).
Answer» The point (-5, 0) on reflection in a line is mapped as (5, 0) and the point (-2, -6) on reflection in the same line is mapped as (2, -6). (a) Name the line of reflection. (b) Write the co-ordinates of the image of (5, -8) in the line obtained in (a).

9.

The point (-5, 0) on reflection in a line is mapped as (5, 0) and the point (-2, -6) on reflection in the same line is mapped as (2, -6). (a) Name the line of reflection. (b) Write the co-ordinates of the image of (5, -8) in the line obtained in (a).

Answer»

The point (-5, 0) on reflection in a line is mapped as (5, 0) and the point (-2, -6) on reflection in the same line is mapped as (2, -6).

(a) Name the line of reflection.

(b) Write the co-ordinates of the image of (5, -8) in the line obtained in (a).

Discussion

10.	In the given figure, OPQR is a rhombus, three of whose vertices lie on a circle with centre O. If the area of the rhombus is 32 √3cm2, find the radius of the circle.
Answer» In the given figure, OPQR is a rhombus, three of whose vertices lie on a circle with centre O. If the area of the rhombus is 32 $\sqrt{3} c m^{2}$ , find the radius of the circle.

10.

In the given figure, OPQR is a rhombus, three of whose vertices lie on a circle with centre O. If the area of the rhombus is 32 √3cm2, find the radius of the circle.

Answer»

In the given figure, OPQR is a rhombus, three of whose vertices lie on a circle with centre O. If the area of the rhombus is 32 $\sqrt{3} c m^{2}$ , find the radius of the circle.

Discussion

11.	If a marble of radius 2.1cm is put into a cylindrical cup, full of water, of radius 5cm and height 6cm, then the volume of water that flows out of the cup is ________.
Answer» If a marble of radius $2.1 c m$ is put into a cylindrical cup, full of water, of radius $5 c m$ and height $6 c m$ , then the volume of water that flows out of the cup is ________.

Discussion

12.	Solve each of the following equations by using the method of completing the square:7x2+3x-4=0
Answer» Solve each of the following equations by using the method of completing the square: $7 x^{2} + 3 x - 4 = 0$

Discussion

13.	If the value of ∑fixi = 199 and mean = 60, find the value of ∑fi?
Answer» If the value of $\sum f_{i} x_{i}$ = 199 and mean = 60, find the value of $\sum f_{i}$ ?

Discussion

14.	The 24th term of an A.P. is twice its 10th term. Show that its 72nd term is 4 times its 15th term.
Answer» The 24^th term of an A.P. is twice its 10^th term. Show that its 72^nd term is 4 times its 15^thterm.

Discussion

15.	Find the area of the minor segment of a circle of radius 14 cm, when its central angle is 60∘.Also find the area of the corresponding major segment. [Use π=227]
Answer» Find the area of the minor segment of a circle of radius 14 cm, when its central angle is $60^{\circ}$ .Also find the area of the corresponding major segment. [Use $π = \frac{22}{7}$ ]

Discussion

16.	Cards bearing numbers 2, 3, 4, ..., 11 are kept in a bag. A card is drawn at random from the bag. The probability of getting a card with a prime number is [CBSE 2012](a) 12(b) 25(c) 310(d) 59
Answer» Cards bearing numbers 2, 3, 4, ..., 11 are kept in a bag. A card is drawn at random from the bag. The probability of getting a card with a prime number is [CBSE 2012] (a) $\frac{1}{2}$ (b) $\frac{2}{5}$ (c) $\frac{3}{10}$ (d) $\frac{5}{9}$

Discussion

17.	A cylindrical tub of radius 5 cm and length 9.8 cm is full of water. A solid in the form of a right circular cone mounted on a hemisphere is immersed in the tub. If the radius of the hemisphere is immersed in the tub. If the radius of the hemi-sphere is 3.5 cm and height of the cone outside the hemisphere is 5 cm, find the volume of the water left in the tub (Take π = 22/7)
Answer» A cylindrical tub of radius 5 cm and length 9.8 cm is full of water. A solid in the form of a right circular cone mounted on a hemisphere is immersed in the tub. If the radius of the hemisphere is immersed in the tub. If the radius of the hemi-sphere is 3.5 cm and height of the cone outside the hemisphere is 5 cm, find the volume of the water left in the tub (Take π = 22/7)

Discussion

18.	In the given figure, ABCD is a trapezium in which(i) AB \|\| CD(ii) AOOC=BOOD=12(iii) AB = 5 cm Find the value of CD .
Answer» In the given figure, ABCD is a trapezium in which (i) AB \|\| CD (ii) $\frac{A O}{O C} = \frac{B O}{O D} = \frac{1}{2}$ (iii) AB = 5 cm Find the value of CD .

18.

In the given figure, ABCD is a trapezium in which(i) AB || CD(ii) AOOC=BOOD=12(iii) AB = 5 cm Find the value of CD .

Answer»

In the given figure, ABCD is a trapezium in which

(i) AB || CD

(ii) $\frac{A O}{O C} = \frac{B O}{O D} = \frac{1}{2}$

(iii) AB = 5 cm

Find the value of CD .

Discussion

19.	If the points 2, 1 and 1, - 2 are equal distance from the point x, y then the relationship between X and y is
Answer» If the points 2, 1 and 1, - 2 are equal distance from the point x, y then the relationship between X and y is

Discussion

20.	In the figure given below, if ∠AOP=75∘ and ∠AOB=120∘, then ∠AQP= ___.
Answer» In the figure given below, if $∠ A O P = 75^{\circ}$ and $∠ A O B = 120^{\circ}$ , then $∠ A Q P$ = ___.

Discussion

21.	A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second?
Answer» A wheel makes $360$ revolutions in one minute. Through how many radians does it turn in one second?

Discussion

22.	Solve graphically.(1) (2) (3) (4) (5) (6)
Answer» Solve graphically. (1) (2) (3) (4) (5) (6)

22.

Solve graphically.(1) (2) (3) (4) (5) (6)

Answer»

Solve graphically.

(1)

(2)

(3)

(4)

(5)

(6)

Discussion

23.	Question 3 (x)In an AP:(x) Given l = 28, S = 144 and there are total 9 terms. Find a.
Answer» Question 3 (x) In an AP: (x) Given l = 28, S = 144 and there are total 9 terms. Find a.

Discussion

24.	In a single throw of three dice, determine the probability of getting (i) a total of 5. (ii) total of atmost 5. (iii) a total of atleast 5.
Answer» In a single throw of three dice, determine the probability of getting (i) a total of 5. (ii) total of atmost 5. (iii) a total of atleast 5.

Discussion

25.	Draw a circle of radius 4 cm. Construct the two tangents to the circle from a P which is at the distance of 7 cm from centre. Measure the length of the tangents
Answer» Draw a circle of radius 4 cm. Construct the two tangents to the circle from a P which is at the distance of 7 cm from centre. Measure the length of the tangents

25.

Draw a circle of radius 4 cm. Construct the two tangents to the circle from a P which is at the distance of 7 cm from centre. Measure the length of the tangents

Answer»

Draw a circle of radius 4 cm. Construct the two tangents to the circle from a P which is at the distance of 7 cm from centre. Measure the length of the tangents

Discussion

26.	What is the value of (1 + cot2 θ) sin2 θ?
Answer» What is the value of (1 + cot² θ) sin² θ?

Discussion

27.	A window of a house is h m above the ground. Form the window, the angles of elevation and depression of the top and the bottom of another house situated on the opposite side of the lane are found to be α and β, respectively. Prove that the height of the other house is h(1+tan α cot β)m.
Answer» A window of a house is h m above the ground. Form the window, the angles of elevation and depression of the top and the bottom of another house situated on the opposite side of the lane are found to be $α$ and $β$ , respectively. Prove that the height of the other house is $h (1 + t a n α c o t β) m$ .

Discussion

28.	Which of the following options is equal to tan A1−cot A+cot A1−tan A ?
Answer» Which of the following options is equal to $\frac{tan A}{1 - cot A} + \frac{cot A}{1 - tan A}$ ?

Discussion

29.	What is the smallest number that when divided by 35, 56 and 91 leaves remainders of 7 in each case?
Answer» What is the smallest number that when divided by 35, 56 and 91 leaves remainders of 7 in each case?

Discussion

30.	The radius of a circle with centre O is 5 cm (Fig . 15.84). Two radii OA and OB are drawn at right angles to each other. Find the areas of the segments made by the chord AB (Take π = 3.14).
Answer» The radius of a circle with centre O is 5 cm (Fig . 15.84). Two radii OA and OB are drawn at right angles to each other. Find the areas of the segments made by the chord AB (Take π = 3.14).

Discussion

31.	In the given figure, ΔABC and ΔAMP are right-angled at B and M respectively. [3 MARKS] Given AC = 10 cm, AP = 15 cm and PM = 12 cm i) Prove ΔABC∼ΔAMP ii) Find AB and BC
Answer» In the given figure, $Δ A B C$ and $Δ A M P$ are right-angled at B and M respectively. [3 MARKS] Given AC = 10 cm, AP = 15 cm and PM = 12 cm i) Prove $Δ A B C \sim Δ A M P$ ii) Find AB and BC

Discussion

32.	Define symmetric and skew-symmetric matrix
Answer» Define symmetric and skew-symmetric matrix

Discussion

33.	Anita buys a new salt cellar in the shape of a cylinder topped by a hemisphere as shown below. The cylinder has a diameter of 6 cm and a height of 10 cm. She pours the salt into the salt cellar, so that it takes up half the total volume of the cellar. Find the depth of the salt, marked with x in the diagram
Answer» Anita buys a new salt cellar in the shape of a cylinder topped by a hemisphere as shown below. The cylinder has a diameter of 6 cm and a height of 10 cm. She pours the salt into the salt cellar, so that it takes up half the total volume of the cellar. Find the depth of the salt, marked with x in the diagram

Discussion

34.	A shopkeeper buys an article whose list price is ₹ 400 at some rate discount from a wholesaler. He sells the article to a consumer at the list price and charges sales tax at the rate of 9 % . If the shopkeeper has to pay a VAT of ₹ 3.60, find the rate of discount at which he bought the article from the wholesaler
Answer» A shopkeeper buys an article whose list price is ₹ 400 at some rate discount from a wholesaler. He sells the article to a consumer at the list price and charges sales tax at the rate of 9 % . If the shopkeeper has to pay a VAT of ₹ 3.60, find the rate of discount at which he bought the article from the wholesaler

Discussion

35.	State the basic proportionality theorem.
Answer» State the basic proportionality theorem.

Discussion

36.	Triangles ABC and PQR are both isosceles with AB = AC and PQ = PR respectively. If also, AB = PQ and BC = QR, are the two triangles congruent? Which condition do you use? If ∠B =50°, what is the measure of ∠R?
Answer» Triangles ABC and PQR are both isosceles with AB = AC and PQ = PR respectively. If also, AB = PQ and BC = QR, are the two triangles congruent? Which condition do you use? If ∠B =50°, what is the measure of ∠R?

Discussion

37.	Name the locus of points which are equidistant from two fixed points.
Answer» Name the locus of points which are equidistant from two fixed points.

Discussion

38.	When 2x^4-6x^3+2x^2-x+2 is divided by x+2, then remainder is ?
Answer» When 2x^4-6x^3+2x^2-x+2 is divided by x+2, then remainder is ?

Discussion

39.	If 4 tan θ=3, evaluate (4 sin θ−cos θ+14 sin θ+cos θ−1) OR If tan 2A = cot (A−18o), where 2A is an acute angle, find the value of A.
Answer» If 4 tan $θ = 3$ , evaluate $(\frac{4 s i n θ - c o s θ + 1}{4 s i n θ + c o s θ - 1})$ OR If tan 2A = cot $(A - 18^{o})$ , where 2A is an acute angle, find the value of A.

Discussion

40.	The marks obtained by 17 students in a Mathematics test (out of 100) are given below:91, 82, 100, 100, 96, 65, 82, 76, 79, 90, 46, 64, 72, 68, 66, 48, 49.The range of the data is _________.
Answer» The marks obtained by 17 students in a Mathematics test (out of 100) are given below: 91, 82, 100, 100, 96, 65, 82, 76, 79, 90, 46, 64, 72, 68, 66, 48, 49. The range of the data is _________.

Discussion

41.	If A={x:x is a multiple of 3 } and B={x:x is a multiple of 5 } , then A−B is
Answer» If $A = {x : x is a multiple of 3}$ and $B = {x : x is a multiple of 5}$ , then $A - B$ is

Discussion

42.	If the lines given by 3x + 2ky = 2 and 2x + 5y = 1 are parallel, then the value of 'k' is.
Answer» If the lines given by 3x + 2ky = 2 and 2x + 5y = 1 are parallel, then the value of 'k' is.

Discussion

43.	On increasing the length of a rectangle by 20% and decreasing its breadth by 20%, what is the change in its area ? (a) 20% increase (b) 20% decrease (c) No change (d) 4% decrease
Answer» On increasing the length of a rectangle by 20% and decreasing its breadth by 20%, what is the change in its area ? (a) 20% increase (b) 20% decrease (c) No change (d) 4% decrease

43.

On increasing the length of a rectangle by 20% and decreasing its breadth by 20%, what is the change in its area ? (a) 20% increase (b) 20% decrease (c) No change (d) 4% decrease

Answer»

On increasing the length of a rectangle by 20% and decreasing its breadth by 20%, what is the change in its area ?

(a) 20% increase (b) 20% decrease (c) No change (d) 4% decrease

Discussion

44.	35. Find the equation of circle passing through (3,4)(3,2)and(1,4)
Answer» 35. Find the equation of circle passing through (3,4)(3,2)and(1,4)

Discussion

45.	If ∠COD=80∘, then ∠CAD = ___.
Answer» If $∠ C O D = 80^{\circ},$ then $∠ C A D$ = ___.

Discussion

46.	Question 34 There are 1000 sealed envelopes in a box, 10 of them contain a cash prize of Rs 100 each, 100 of them contain a cash prize of Rs 50 each and 200 of them contain a cash prize of Rs 10 each and rest do not contain any cash prize. If they are well shuffled and an envelope is picked up out, what is the probability that it contains no cash prize?
Answer» Question 34 There are 1000 sealed envelopes in a box, 10 of them contain a cash prize of Rs 100 each, 100 of them contain a cash prize of Rs 50 each and 200 of them contain a cash prize of Rs 10 each and rest do not contain any cash prize. If they are well shuffled and an envelope is picked up out, what is the probability that it contains no cash prize?

Discussion

47.	In a series if (i) Tn = 2n − 1 find S5 (ii) Tn = (−1)n then find (a) S1 (b) S2 (c) S3 (d) S4Hence prove that S1 = S3 and S2 = S4
Answer» In a series if (i) T_n = 2n − 1 find S₅ (ii) T_n = (−1)ⁿ then find (a) S₁ (b) S₂ (c) S₃ (d) S₄ Hence prove that S₁ = S₃ and S₂ = S₄

47.

In a series if (i) Tn = 2n − 1 find S5 (ii) Tn = (−1)n then find (a) S1 (b) S2 (c) S3 (d) S4Hence prove that S1 = S3 and S2 = S4

Answer»

In a series if (i) T_n = 2n − 1 find S₅ (ii) T_n = (−1)ⁿ then find (a) S₁ (b) S₂ (c) S₃ (d) S₄

Hence prove that S₁ = S₃ and S₂ = S₄

Discussion

48.	The area of the largest triangle that can be inscribed in a semi-circle of radius ‘r’ is:
Answer» The area of the largest triangle that can be inscribed in a semi-circle of radius ‘r’ is:

Discussion

49.	Find the nth differential coefficient of sin^5x cos^3x
Answer» Find the nth differential coefficient of sin^5x cos^3x

Discussion

50.	The inner and outer radii of a hollow cylinder are 15 cm and 20 cm, respectively. The cylinder is melted and recast into a solid cylinder of the same height. Find the radius of the base of new cylinder.
Answer» The inner and outer radii of a hollow cylinder are 15 cm and 20 cm, respectively. The cylinder is melted and recast into a solid cylinder of the same height. Find the radius of the base of new cylinder.

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

which of following is correct order of dipole moment: (1) H2O BF3 (3) XeF2 SF4

tan1∘.tan2∘.tan3∘..........tan89∘

An army contingent of 616 member is to March behind an army band of 32 members in A parade the two groups are to March in the same number of columns what is the maximum number of columns in which they can march

ABCD is a rectangle whose three vertices are B(4, 0), C(4, 3) and D(0, 3). Find the length of one of its diagonal.

The roots of the equation px^2-2(p+2)x+3p=0 are alpha and beta .If alpha- beta=2, calculate the value of Alpha, beta and p

If A, B, C are the angles of a triangle, then sin(B+C2)= ___.

Two dice are rolled. Find the probability that the sum of the digits on the upper face is 7.

The point (-5, 0) on reflection in a line is mapped as (5, 0) and the point (-2, -6) on reflection in the same line is mapped as (2, -6). (a) Name the line of reflection. (b) Write the co-ordinates of the image of (5, -8) in the line obtained in (a).

In the given figure, OPQR is a rhombus, three of whose vertices lie on a circle with centre O. If the area of the rhombus is 32 √3cm2, find the radius of the circle.

If a marble of radius 2.1cm is put into a cylindrical cup, full of water, of radius 5cm and height 6cm, then the volume of water that flows out of the cup is ________.

Solve each of the following equations by using the method of completing the square:7x2+3x-4=0

If the value of ∑fixi = 199 and mean = 60, find the value of ∑fi?

The 24th term of an A.P. is twice its 10th term. Show that its 72nd term is 4 times its 15th term.

Find the area of the minor segment of a circle of radius 14 cm, when its central angle is 60∘.Also find the area of the corresponding major segment. [Use π=227]

Cards bearing numbers 2, 3, 4, ..., 11 are kept in a bag. A card is drawn at random from the bag. The probability of getting a card with a prime number is [CBSE 2012](a) 12(b) 25(c) 310(d) 59

In the given figure, ABCD is a trapezium in which(i) AB || CD(ii) AOOC=BOOD=12(iii) AB = 5 cm Find the value of CD .

If the points 2, 1 and 1, - 2 are equal distance from the point x, y then the relationship between X and y is

In the figure given below, if ∠AOP=75∘ and ∠AOB=120∘, then ∠AQP= ___.

A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second?

Solve graphically.(1) (2) (3) (4) (5) (6)

Question 3 (x)In an AP:(x) Given l = 28, S = 144 and there are total 9 terms. Find a.

In a single throw of three dice, determine the probability of getting (i) a total of 5. (ii) total of atmost 5. (iii) a total of atleast 5.

Draw a circle of radius 4 cm. Construct the two tangents to the circle from a P which is at the distance of 7 cm from centre. Measure the length of the tangents

What is the value of (1 + cot2 θ) sin2 θ?

A window of a house is h m above the ground. Form the window, the angles of elevation and depression of the top and the bottom of another house situated on the opposite side of the lane are found to be α and β, respectively. Prove that the height of the other house is h(1+tan α cot β)m.

Which of the following options is equal to tan A1−cot A+cot A1−tan A ?

What is the smallest number that when divided by 35, 56 and 91 leaves remainders of 7 in each case?

The radius of a circle with centre O is 5 cm (Fig . 15.84). Two radii OA and OB are drawn at right angles to each other. Find the areas of the segments made by the chord AB (Take π = 3.14).

In the given figure, ΔABC and ΔAMP are right-angled at B and M respectively. [3 MARKS] Given AC = 10 cm, AP = 15 cm and PM = 12 cm i) Prove ΔABC∼ΔAMP ii) Find AB and BC

Define symmetric and skew-symmetric matrix

State the basic proportionality theorem.

Triangles ABC and PQR are both isosceles with AB = AC and PQ = PR respectively. If also, AB = PQ and BC = QR, are the two triangles congruent? Which condition do you use? If ∠B =50°, what is the measure of ∠R?

Name the locus of points which are equidistant from two fixed points.

When 2x^4-6x^3+2x^2-x+2 is divided by x+2, then remainder is ?

If 4 tan θ=3, evaluate (4 sin θ−cos θ+14 sin θ+cos θ−1) OR If tan 2A = cot (A−18o), where 2A is an acute angle, find the value of A.

The marks obtained by 17 students in a Mathematics test (out of 100) are given below:91, 82, 100, 100, 96, 65, 82, 76, 79, 90, 46, 64, 72, 68, 66, 48, 49.The range of the data is _________.

If A={x:x is a multiple of 3 } and B={x:x is a multiple of 5 } , then A−B is

If the lines given by 3x + 2ky = 2 and 2x + 5y = 1 are parallel, then the value of 'k' is.

On increasing the length of a rectangle by 20% and decreasing its breadth by 20%, what is the change in its area ? (a) 20% increase (b) 20% decrease (c) No change (d) 4% decrease

35. Find the equation of circle passing through (3,4)(3,2)and(1,4)

If ∠COD=80∘, then ∠CAD = ___.

In a series if (i) Tn = 2n − 1 find S5 (ii) Tn = (−1)n then find (a) S1 (b) S2 (c) S3 (d) S4Hence prove that S1 = S3 and S2 = S4

The area of the largest triangle that can be inscribed in a semi-circle of radius ‘r’ is:

Find the nth differential coefficient of sin^5x cos^3x

The inner and outer radii of a hollow cylinder are 15 cm and 20 cm, respectively. The cylinder is melted and recast into a solid cylinder of the same height. Find the radius of the base of new cylinder.