32581 + Interview Questions in Mathematics

1.	Events which consist of only one outcome of an experiment are called __
Answer» Events which consist of only one outcome of an experiment are called __

Discussion

2.	The matrix A=[2312]. Find the value of A3−4A2+A
Answer» The matrix $A = [\begin{matrix} 2 & 3 1 & 2 \end{matrix}]$ . Find the value of $A^{3} - 4 A^{2} + A$

Discussion

3.	What number should be added to 3x2 + 7x so that when the resulting polynomial is divided by x – 3 the remainder is 2?
Answer» What number should be added to 3x² + 7x so that when the resulting polynomial is divided by x – 3 the remainder is 2?

Discussion

4.	A bucket is raised from a well by means of a rope, which is wound round a wheel of diameter 77 cm. Given that the bucket ascends in 1 min 28 seconds with a uniform speed of 1.1 m/s, calculate the number of complete revolutions the wheel makes in raising the bucket.
Answer» A bucket is raised from a well by means of a rope, which is wound round a wheel of diameter 77 cm. Given that the bucket ascends in 1 min 28 seconds with a uniform speed of 1.1 m/s, calculate the number of complete revolutions the wheel makes in raising the bucket.

Discussion

5.	Question 12 Two APs have the same common difference. The difference between their 100th terms is 100, what is the difference between their 1000th terms?
Answer» Question 12 Two APs have the same common difference. The difference between their $100^{t h}$ terms is 100, what is the difference between their $1000^{t h}$ terms?

Discussion

6.	In the tax period ended March 2008, M/S Bhavesh Sippy & Sons purchased floor tiles worth Rs 8000 taxable at 7.5% and sanitary fittings worth Rs 7500 taxable at 10%. During this period, the sales turnover for floor tiles and sanitary fittings are worth Rs 8400 and Rs 9200 respectively. Calculate the tax liability (under VAT) of the firm for this tax paid.
Answer» In the tax period ended March 2008, M/S Bhavesh Sippy & Sons purchased floor tiles worth Rs 8000 taxable at 7.5% and sanitary fittings worth Rs 7500 taxable at 10%. During this period, the sales turnover for floor tiles and sanitary fittings are worth Rs 8400 and Rs 9200 respectively. Calculate the tax liability (under VAT) of the firm for this tax paid.

Discussion

7.	The perimeter of two similar triangles are 72 cm and 56 cm respectively. If one side of the first triangle is 18 cm, then the corresponding side of the smaller triangle is:
Answer» The perimeter of two similar triangles are 72 cm and 56 cm respectively. If one side of the first triangle is 18 cm, then the corresponding side of the smaller triangle is:

Discussion

8.	Question 6 In the figure, POQ is a line. The value of x is: A) 20∘ B) 25∘ C) 30∘ D) 35∘
Answer» Question 6 In the figure, POQ is a line. The value of x is: A) $20^{\circ}$ B) $25^{\circ}$ C) $30^{\circ}$ D) $35^{\circ}$

Discussion

9.	The cost of painting the inner curved surface area of a cylindrical container of depth 20 m is Rs. 8800. If painter takes Rs. 40 per metre square to paint the cylindrical container, then find radius of the cylindrical vessel.
Answer» The cost of painting the inner curved surface area of a cylindrical container of depth 20 m is Rs. 8800. If painter takes Rs. 40 per metre square to paint the cylindrical container, then find radius of the cylindrical vessel.

Discussion

10.	A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is a red card.
Answer» A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is a red card.

Discussion

11.	If a cylindrical vessel has a hemispherical bottom with radius 4 cm and height 15 cm, then its volume is .
Answer» If a cylindrical vessel has a hemispherical bottom with radius 4 cm and height 15 cm, then its volume is .

Discussion

12.	To study the difference between the Indian variety and the hybrid variety of fruits. Two fruits, i.e., Guava and Papaya were selected. 30 guavas and 30 papayas of each variety were weighed and the numbers were noted down. What step of the statistical study has been completed?
Answer» To study the difference between the Indian variety and the hybrid variety of fruits. Two fruits, i.e., Guava and Papaya were selected. 30 guavas and 30 papayas of each variety were weighed and the numbers were noted down. What step of the statistical study has been completed?

Discussion

13.	A solution of y=2x(dydx)+x2(dydx)4 is
Answer» A solution of $y = 2 x (\frac{d y}{d x}) + x^{2} (\frac{d y}{d x})^{4}$ is

Discussion

14.	The daily expenditure of 100 families are given below. Calculate f1 and f2 if the mean daily expenditure is Rs. 188. Expenditure (in Rs.)140−160160−180180−200200−220220−240Number offamilies525f1f25
Answer» The daily expenditure of 100 families are given below. Calculate $f_{1}$ and $f_{2}$ if the mean daily expenditure is Rs. 188. $\begin{matrix} Expenditure (in Rs.) & 140 - 160 & 160 - 180 & 180 - 200 & 200 - 220 & 220 - 240 Number of families & 5 & 25 & f_{1} & f_{2} & 5 \end{matrix}$

Discussion

15.	Show that √23 is irrational.
Answer» Show that $\frac{\sqrt{2}}{3}$ is irrational.

Discussion

16.	Question 7 (iii) Let A (4, 2), B (6, 5) and C (1, 4) be the vertices of triangle ABC. (c) Find the coordinates of point Q and R on medians BE and CF respectively such that BQ : QE = 2:1 and CR:RF = 2:1.
Answer» Question 7 (iii) Let A (4, 2), B (6, 5) and C (1, 4) be the vertices of triangle ABC. (c) Find the coordinates of point Q and R on medians BE and CF respectively such that BQ : QE = 2:1 and CR:RF = 2:1.

Discussion

17.	If the sum of n terms of an A.P is cn(n - 1), where c>0, the sum of the square of these terms is -
Answer» If the sum of n terms of an A.P is cn(n - 1), where $c > 0$ , the sum of the square of these terms is -

Discussion

18.	A thief, after committing a theft runs at a uniform speed of 50 m per minute. After 2 minutes, a policeman runs to catch him. He goes 60 m in first minute and increases his speed by 5 m per minute every succeeding minute. After how many minutes, the policeman will catch the thief?
Answer» A thief, after committing a theft runs at a uniform speed of $50 m$ per minute. After $2$ minutes, a policeman runs to catch him. He goes $60 m$ in first minute and increases his speed by $5 m$ per minute every succeeding minute. After how many minutes, the policeman will catch the thief?

Discussion

19.	Choose the correct less than type ogive curve for the given data. Class Frequency 5−10 310−15615−20920−251225−30830−3510
Answer» Choose the correct less than type ogive curve for the given data. $\begin{matrix} Class & Frequency 5 - 10 & 3 10 - 15 & 6 15 - 20 & 9 20 - 25 & 12 25 - 30 & 8 30 - 35 & 10 \end{matrix}$

19.

Choose the correct less than type ogive curve for the given data. Class Frequency 5−10 310−15615−20920−251225−30830−3510

Answer»

Choose the correct less than type ogive curve for the given data.

$\begin{matrix} Class & Frequency 5 - 10 & 3 10 - 15 & 6 15 - 20 & 9 20 - 25 & 12 25 - 30 & 8 30 - 35 & 10 \end{matrix}$

Discussion

20.	What is the sum of first 11 terms of an AP whose middle term is 30? [2 MARKS]
Answer» What is the sum of first 11 terms of an AP whose middle term is 30? [2 MARKS]

Discussion

21.	Find the number of all natural numbers that lie between 24 and 101, which are divisible by 5.
Answer» Find the number of all natural numbers that lie between 24 and 101, which are divisible by 5.

Discussion

22.	Question 3 Prove that, if a line is drawn parallel to one side of a triangle to intersect the other two sides, then the two sides are divided in the same ratio.
Answer» Question 3 Prove that, if a line is drawn parallel to one side of a triangle to intersect the other two sides, then the two sides are divided in the same ratio.

Discussion

23.	Question 1 If the sum of the areas of two circles with radii R1 and R2 is equal to the areas of a circle of radius R, then: (A) R1+R2=R (B) R21+R22=R2 (C) R1+R2<R (D) R21+R22<R2
Answer» Question 1 If the sum of the areas of two circles with radii $R_{1}$ and $R_{2}$ is equal to the areas of a circle of radius R, then: (A) $R_{1} + R_{2} = R$ (B) $R_{1}^{2} + R_{2}^{2} = R^{2}$ (C) $R_{1} + R_{2} < R$ (D) $R_{1}^{2} + R_{2}^{2} < R_{2}$

Discussion

24.	Mohit's mother is 47 years older than him. The product of their ages (in years) 8 years from now will be 860. Which of the following equations represent this situation?
Answer» Mohit's mother is 47 years older than him. The product of their ages (in years) 8 years from now will be 860. Which of the following equations represent this situation?

Discussion

25.	If cosecA - cotA=1/3,the value of(cosecA+cotA) is
Answer» If cosecA - cotA=1/3,the value of(cosecA+cotA) is

Discussion

26.	Find the length of a tangent drawn to a circle with radius 5 cm, from a point 13 cm from the centre of the circle.
Answer» Find the length of a tangent drawn to a circle with radius 5 cm, from a point 13 cm from the centre of the circle.

Discussion

27.	There are four children A, B, C and D. A has 6 chocolates, B has 7 chocolates, C has 8 chocolates and D has 11 chocolates. Who has the average number of chocolates?
Answer» There are four children A, B, C and D. A has 6 chocolates, B has 7 chocolates, C has 8 chocolates and D has 11 chocolates. Who has the average number of chocolates?

Discussion

28.	Question 19 The point of the term (a, -a) always lies on the line: A) x = a B) y = -a C) y = x D) x + y = 0
Answer» Question 19 The point of the term (a, -a) always lies on the line: A) x = a B) y = -a C) y = x D) x + y = 0

Discussion

29.	A solid right circular cone is cut into two parts at the middle of its height by a plane parallel to its base. The ratio fo the volume of the smaller cone to the whole cone is (a) 1 : 2 (b) 1 : 4 (c) 1 : 6 (d) 1 : 8
Answer» A solid right circular cone is cut into two parts at the middle of its height by a plane parallel to its base. The ratio fo the volume of the smaller cone to the whole cone is (a) 1 : 2 (b) 1 : 4 (c) 1 : 6 (d) 1 : 8

29.

A solid right circular cone is cut into two parts at the middle of its height by a plane parallel to its base. The ratio fo the volume of the smaller cone to the whole cone is (a) 1 : 2 (b) 1 : 4 (c) 1 : 6 (d) 1 : 8

Answer»

A solid right circular cone is cut into two parts at the middle of its height by a plane parallel to its base. The ratio fo the volume of the smaller cone to the whole cone is

(a) 1 : 2 (b) 1 : 4 (c) 1 : 6 (d) 1 : 8

Discussion

30.	Draw appropriate graph to depict the runs scored by the Indian team. [2 MARKS] PlayersScoreRahul90Sachin99Saurav56Sehwag30Gambhir30Yuvraj48Kohli82Zaheer0Nehra1Mishra19
Answer» Draw appropriate graph to depict the runs scored by the Indian team. [2 MARKS] $\begin{matrix} P l a y e r s & S c o r e R a h u l & 90 S a c h i n & 99 S a u r a v & 56 S e h w a g & 30 G a m b h i r & 30 Y u v r a j & 48 K o h l i & 82 Z a h e e r & 0 N e h r a & 1 M i s h r a & 19 \end{matrix}$

Discussion

31.	For equation given below, find the value of 'm' so that the equation has equal roots. Also find the solution of equation: (m-3)x2 - 4x + 1 = 0
Answer» For equation given below, find the value of 'm' so that the equation has equal roots. Also find the solution of equation: (m-3)x² - 4x + 1 = 0

31.

For equation given below, find the value of 'm' so that the equation has equal roots. Also find the solution of equation: (m-3)x2 - 4x + 1 = 0

Answer»

For equation given below, find the value of 'm' so that the equation has equal roots. Also find the solution of equation:

(m-3)x² - 4x + 1 = 0

Discussion

32.	A person rowing at the rate of 5 km/hr in still water, takes thrice as much time in going 40 km upstream as in going 40 km downstream.Find the speed of the stream.
Answer» A person rowing at the rate of 5 km/hr in still water, takes thrice as much time in going 40 km upstream as in going 40 km downstream.Find the speed of the stream.

Discussion

33.	If x3 + 6x2 + 4x + k is exactly divisible by (x + 2), then the value of k is -
Answer» If $x^{3}$ + 6 $x^{2}$ + 4x + k is exactly divisible by (x + 2), then the value of k is -

Discussion

34.	What is meant by mode of a given set of observations?
Answer» What is meant by mode of a given set of observations?

Discussion

35.	A boat goes 80 km upstream and 120 km downstream in 20 hours. In 15 hours, it can go 48 km upstream and 108 km downstream. Determine the speed of the boat in still water and that of the stream.
Answer» A boat goes 80 km upstream and 120 km downstream in 20 hours. In 15 hours, it can go 48 km upstream and 108 km downstream. Determine the speed of the boat in still water and that of the stream.

Discussion

36.	Question 10(c) In a college out of 4320 students, 2300 are girls. Find the ratio of: The number of boys to the total number of students.
Answer» Question 10(c) In a college out of 4320 students, 2300 are girls. Find the ratio of: The number of boys to the total number of students.

36.

Question 10(c) In a college out of 4320 students, 2300 are girls. Find the ratio of: The number of boys to the total number of students.

Answer»

Question 10(c)

In a college out of 4320 students, 2300 are girls. Find the ratio of:

The number of boys to the total number of students.

Discussion

37.	The 12th term of an AP is - 13 and the sum of its first four terms is 24. Find the sum of its first 10 terms.
Answer» The 12th term of an AP is - 13 and the sum of its first four terms is 24. Find the sum of its first 10 terms.

Discussion

38.	Is (5,2) a solution of 3x+7y= 27?
Answer» Is (5,2) a solution of 3x+7y= 27?

Discussion

39.	Assertion: Area of the triangle whose vertices are A(−32,3),B(6,−2) and C(−3,4) is 0 Reason : The points A, B and C are collinear
Answer» Assertion: Area of the triangle whose vertices are $A (\frac{- 3}{2}, 3), B (6, - 2)$ and $C (- 3, 4)$ is 0 Reason : The points A, B and C are collinear

Discussion

40.	From a point on a bridge across a river the angles of depression of the banks on opposite sides of the river are 30∘ and 45∘ respectively. If the bridge is at a height of 6 m from the banks find the width of the river.
Answer» From a point on a bridge across a river the angles of depression of the banks on opposite sides of the river are $30^{\circ}$ and $45^{\circ}$ respectively. If the bridge is at a height of 6 m from the banks find the width of the river.

Discussion

41.	In a triangle ΔABC,AB=12 cm.∠A=45∘,∠B=60∘. The area of triangle ABC will be equal to.
Answer» In a triangle $Δ A B C, A B = 12 c m . ∠ A = 45^{\circ}, ∠ B = 60^{\circ}$ . The area of triangle ABC will be equal to.

41.

In a triangle ΔABC,AB=12 cm.∠A=45∘,∠B=60∘. The area of triangle ABC will be equal to.

Answer»

In a triangle $Δ A B C, A B = 12 c m . ∠ A = 45^{\circ}, ∠ B = 60^{\circ}$ . The area of triangle ABC will be equal to.

Discussion

42.	Question 5 (vii) Find 76.5 ÷ 0.15
Answer» Question 5 (vii) Find 76.5 $\div$ 0.15

Discussion

43.	1a,1b, and 1c, are in A. P. show that : bc , ca and ab are also in A.P.
Answer» $\frac{1}{a}, \frac{1}{b}, a n d \frac{1}{c},$ are in A. P. show that : bc , ca and ab are also in A.P.

Discussion

44.	A triangle ABC is drawn to circumscribe a circle such that the segments BD and DC into which BC is divided by the point of contact D are of lengths 4 cm and 20 cm respectively. If the area of the triangle is 120 cm2, what is the value of AB + AC?
Answer» A triangle ABC is drawn to circumscribe a circle such that the segments BD and DC into which BC is divided by the point of contact D are of lengths 4 cm and 20 cm respectively. If the area of the triangle is 120 ${c m}^{2}$ , what is the value of AB + AC?

44.

A triangle ABC is drawn to circumscribe a circle such that the segments BD and DC into which BC is divided by the point of contact D are of lengths 4 cm and 20 cm respectively. If the area of the triangle is 120 cm2, what is the value of AB + AC?

Answer»

A triangle ABC is drawn to circumscribe a circle such that the segments BD and DC into which BC is divided by the point of contact D are of lengths 4 cm and 20 cm respectively. If the area of the triangle is 120 ${c m}^{2}$ , what is the value of AB + AC?

Discussion

45.	In figure, AB and CD are two diameters of a circle (with centre O) perpendicular to each other and OD is the diameter of the smaller circle. If OA = 7 cm, find the area of the shaded region. [4 MARKS]
Answer» In figure, AB and CD are two diameters of a circle (with centre O) perpendicular to each other and OD is the diameter of the smaller circle. If OA = 7 cm, find the area of the shaded region. [4 MARKS]

45.

In figure, AB and CD are two diameters of a circle (with centre O) perpendicular to each other and OD is the diameter of the smaller circle. If OA = 7 cm, find the area of the shaded region. [4 MARKS]

Answer»

In figure, AB and CD are two diameters of a circle (with centre O) perpendicular to each other and OD is the diameter of the smaller circle. If OA = 7 cm, find the area of the shaded region. [4 MARKS]

Discussion

46.	If alpha and beta are the zeroes of the polynomial x2−6x+a. Find alpha if beta = -2.
Answer» If alpha and beta are the zeroes of the polynomial $x^{2} - 6 x + a$ . Find alpha if beta = -2.

Discussion

47.	Show that the sum of all odd integers between 1 and 1000 which are divisible by 3 is 83667.
Answer» Show that the sum of all odd integers between 1 and 1000 which are divisible by 3 is 83667.

Discussion

48.	In the given figure, O is the centre of the circle and AB is a tangent to it at point B. If ∠BDC=65∘, then find ∠BAO
Answer» In the given figure, O is the centre of the circle and AB is a tangent to it at point B. If $∠ B D C = 65^{\circ}$ , then find $∠ B A O$

Discussion

49.	Find the lengths of the medians of a triangle whose vertices are A (-1, 3) and B (1, -1) and C (5, 1).
Answer» Find the lengths of the medians of a triangle whose vertices are A (-1, 3) and B (1, -1) and C (5, 1).

Discussion

50.	Which is the largest number that perfectly divides 480 and 270?
Answer» Which is the largest number that perfectly divides 480 and 270?

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Events which consist of only one outcome of an experiment are called __

The matrix A=[2312]. Find the value of A3−4A2+A

What number should be added to 3x2 + 7x so that when the resulting polynomial is divided by x – 3 the remainder is 2?

A bucket is raised from a well by means of a rope, which is wound round a wheel of diameter 77 cm. Given that the bucket ascends in 1 min 28 seconds with a uniform speed of 1.1 m/s, calculate the number of complete revolutions the wheel makes in raising the bucket.

Question 12 Two APs have the same common difference. The difference between their 100th terms is 100, what is the difference between their 1000th terms?

The perimeter of two similar triangles are 72 cm and 56 cm respectively. If one side of the first triangle is 18 cm, then the corresponding side of the smaller triangle is:

Question 6 In the figure, POQ is a line. The value of x is: A) 20∘ B) 25∘ C) 30∘ ​​​​​​​D) 35∘

The cost of painting the inner curved surface area of a cylindrical container of depth 20 m is Rs. 8800. If painter takes Rs. 40 per metre square to paint the cylindrical container, then find radius of the cylindrical vessel.

A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is a red card.

If a cylindrical vessel has a hemispherical bottom with radius 4 cm and height 15 cm, then its volume is .

To study the difference between the Indian variety and the hybrid variety of fruits. Two fruits, i.e., Guava and Papaya were selected. 30 guavas and 30 papayas of each variety were weighed and the numbers were noted down. What step of the statistical study has been completed?

A solution of y=2x(dydx)+x2(dydx)4 is

The daily expenditure of 100 families are given below. Calculate f1 and f2 if the mean daily expenditure is Rs. 188. Expenditure (in Rs.)140−160160−180180−200200−220220−240Number offamilies525f1f25

Show that √23 is irrational.

Question 7 (iii) Let A (4, 2), B (6, 5) and C (1, 4) be the vertices of triangle ABC. (c) Find the coordinates of point Q and R on medians BE and CF respectively such that BQ : QE = 2:1 and CR:RF = 2:1.

If the sum of n terms of an A.P is cn(n - 1), where c&gt;0, the sum of the square of these terms is -

A thief, after committing a theft runs at a uniform speed of 50 m per minute. After 2 minutes, a policeman runs to catch him. He goes 60 m in first minute and increases his speed by 5 m per minute every succeeding minute. After how many minutes, the policeman will catch the thief?

Choose the correct less than type ogive curve for the given data. Class Frequency 5−10 310−15615−20920−251225−30830−3510

What is the sum of first 11 terms of an AP whose middle term is 30? [2 MARKS]

Find the number of all natural numbers that lie between 24 and 101, which are divisible by 5.

Question 3 Prove that, if a line is drawn parallel to one side of a triangle to intersect the other two sides, then the two sides are divided in the same ratio.

Question 1 If the sum of the areas of two circles with radii R1 and R2 is equal to the areas of a circle of radius R, then: (A) R1+R2=R (B) R21+R22=R2 (C) R1+R2&lt;R (D) R21+R22&lt;R2

Mohit's mother is 47 years older than him. The product of their ages (in years) 8 years from now will be 860. Which of the following equations represent this situation?

If cosecA - cotA=1/3,the value of(cosecA+cotA) is

Find the length of a tangent drawn to a circle with radius 5 cm, from a point 13 cm from the centre of the circle.

There are four children A, B, C and D. A has 6 chocolates, B has 7 chocolates, C has 8 chocolates and D has 11 chocolates. Who has the average number of chocolates?

Question 19 The point of the term (a, -a) always lies on the line: A) x = a B) y = -a C) y = x​​​​​​​ D) x + y = 0​​​​​​​

A solid right circular cone is cut into two parts at the middle of its height by a plane parallel to its base. The ratio fo the volume of the smaller cone to the whole cone is (a) 1 : 2 (b) 1 : 4 (c) 1 : 6 (d) 1 : 8

Draw appropriate graph to depict the runs scored by the Indian team. [2 MARKS] PlayersScoreRahul90Sachin99Saurav56Sehwag30Gambhir30Yuvraj48Kohli82Zaheer0Nehra1Mishra19

For equation given below, find the value of 'm' so that the equation has equal roots. Also find the solution of equation: (m-3)x2 - 4x + 1 = 0

A person rowing at the rate of 5 km/hr in still water, takes thrice as much time in going 40 km upstream as in going 40 km downstream.Find the speed of the stream.

If x3 + 6x2 + 4x + k is exactly divisible by (x + 2), then the value of k is -

What is meant by mode of a given set of observations?

A boat goes 80 km upstream and 120 km downstream in 20 hours. In 15 hours, it can go 48 km upstream and 108 km downstream. Determine the speed of the boat in still water and that of the stream.

Question 10(c) In a college out of 4320 students, 2300 are girls. Find the ratio of: The number of boys to the total number of students.

The 12th term of an AP is - 13 and the sum of its first four terms is 24. Find the sum of its first 10 terms.

Is (5,2) a solution of 3x+7y= 27?

Assertion: Area of the triangle whose vertices are A(−32,3),B(6,−2) and C(−3,4) is 0 Reason : The points A, B and C are collinear

From a point on a bridge across a river the angles of depression of the banks on opposite sides of the river are 30∘ and 45∘ respectively. If the bridge is at a height of 6 m from the banks find the width of the river.

In a triangle ΔABC,AB=12 cm.∠A=45∘,∠B=60∘. The area of triangle ABC will be equal to.

Question 5 (vii) Find 76.5 ÷ 0.15

1a,1b, and 1c, are in A. P. show that : bc , ca and ab are also in A.P.

A triangle ABC is drawn to circumscribe a circle such that the segments BD and DC into which BC is divided by the point of contact D are of lengths 4 cm and 20 cm respectively. If the area of the triangle is 120 cm2, what is the value of AB + AC?

In figure, AB and CD are two diameters of a circle (with centre O) perpendicular to each other and OD is the diameter of the smaller circle. If OA = 7 cm, find the area of the shaded region. [4 MARKS]

If alpha and beta are the zeroes of the polynomial x2−6x+a. Find alpha if beta = -2.

Show that the sum of all odd integers between 1 and 1000 which are divisible by 3 is 83667.

In the given figure, O is the centre of the circle and AB is a tangent to it at point B. If ∠BDC=65∘, then find ∠BAO

Find the lengths of the medians of a triangle whose vertices are A (-1, 3) and B (1, -1) and C (5, 1).

Which is the largest number that perfectly divides 480 and 270?

Question 6 In the figure, POQ is a line. The value of x is: A) 20∘ B) 25∘ C) 30∘ D) 35∘

If the sum of n terms of an A.P is cn(n - 1), where c>0, the sum of the square of these terms is -

Question 1 If the sum of the areas of two circles with radii R1 and R2 is equal to the areas of a circle of radius R, then: (A) R1+R2=R (B) R21+R22=R2 (C) R1+R2<R (D) R21+R22<R2

Question 19 The point of the term (a, -a) always lies on the line: A) x = a B) y = -a C) y = x D) x + y = 0