32581 + Interview Questions in Mathematics

1.	Let P(x)=x2+bx+c, where b and c are integers. If P(x) is a factor of both x4+6x2+25 and 3x4+4x2+28x+5, then the value of P(3) is
Answer» Let $P (x) = x^{2} + b x + c,$ where $b$ and $c$ are integers. If $P (x)$ is a factor of both $x^{4} + 6 x^{2} + 25$ and $3 x^{4} + 4 x^{2} + 28 x + 5,$ then the value of $P (3)$ is

Discussion

2.	In below figure, a right triangle BOA is given. C is the mid-point of the hypotenuse AB. Show that it is equidistant from the vertices O, A and B.
Answer» In below figure, a right triangle BOA is given. C is the mid-point of the hypotenuse AB. Show that it is equidistant from the vertices O, A and B.

2.

In below figure, a right triangle BOA is given. C is the mid-point of the hypotenuse AB. Show that it is equidistant from the vertices O, A and B.

Answer»

In below figure, a right triangle BOA is given. C is the mid-point of the hypotenuse AB. Show that it is equidistant from the vertices O, A and B.

Discussion

3.	The maximum volume of a cone that can be carved out of a solid hemisphere of radius r is(a) 3πr2(b) πr33(c) πr23(d) 3πr3
Answer» The maximum volume of a cone that can be carved out of a solid hemisphere of radius r is (a) $3 {πr}^{2}$ (b) $\frac{{πr}^{3}}{3}$ (c) $\frac{{πr}^{2}}{3}$ (d) $3 {πr}^{3}$

Discussion

4.	In the given figure, ∆QRS is an equilateral triangle. Prove that,(1) arc RS ≅ arc QS ≅ arc QR(2) m(arc QRS) = 240°.
Answer» In the given figure, ∆QRS is an equilateral triangle. Prove that, (1) arc RS ≅ arc QS ≅ arc QR (2) m(arc QRS) = 240°.

Discussion

5.	ntfind the lcm and hcf of the polynomials (x squared +y)(x squared + x - 2)and (x squared + 2x + 1) (x squared +2x -3).n ntverify if the product of the lcm and the hcf is equal to the product of polynomials.n
Answer» ntfind the lcm and hcf of the polynomials (x squared +y)(x squared + x - 2)and (x squared + 2x + 1) (x squared +2x -3).n ntverify if the product of the lcm and the hcf is equal to the product of polynomials.n

Discussion

6.	In this figure, what fraction of the circumference of the circle is the length of the arc ADB?
Answer» In this figure, what fraction of the circumference of the circle is the length of the arc ADB?

6.

In this figure, what fraction of the circumference of the circle is the length of the arc ADB?

Answer»

In this figure, what fraction of the circumference of the circle is the length of the arc ADB?

Discussion

7.	If the diameter of a sphere is decreased by 25%, then its curved surface area decreases by:
Answer» If the diameter of a sphere is decreased by $25 %$ , then its curved surface area decreases by:

Discussion

8.	Show graphically that each of the following given systems of equations is inconsistent,i.e., has no solution: x−2y=6,3x−6y=0
Answer» Show graphically that each of the following given systems of equations is inconsistent,i.e., has no solution: $x - 2 y = 6, 3 x - 6 y = 0$

8.

Show graphically that each of the following given systems of equations is inconsistent,i.e., has no solution: x−2y=6,3x−6y=0

Answer»

Show graphically that each of the following given systems of equations is inconsistent,i.e., has no solution:

$x - 2 y = 6, 3 x - 6 y = 0$

Discussion

9.	If A + B = 90° and cos B=35, what is the value of sin A?
Answer» If A + B = 90° and $\cos B = \frac{3}{5}$ , what is the value of sin A?

Discussion

10.	The point on the x-axis which is equidistance from (2, –5) and (–2, 9) is
Answer» The point on the x-axis which is equidistance from (2, –5) and (–2, 9) is

Discussion

11.	With respect to the roots of x2–2x–3=0, we can say that
Answer» With respect to the roots of $x^{2} - 2 x - 3 = 0$ , we can say that

Discussion

12.	The total number of one-one functions from the set A = {a, b, c} to the set B = {x, y, z, t} is _________.
Answer» The total number of one-one functions from the set A = {a, b, c} to the set B = {x, y, z, t} is _________.

Discussion

13.	25. From the top of a building 16m high the angular elevation of the top of a hill and angular depression of the door of the hill is 30degree find the height of the hill
Answer» 25. From the top of a building 16m high the angular elevation of the top of a hill and angular depression of the door of the hill is 30degree find the height of the hill

Discussion

14.	In the arithmetic progression given below, find the common difference.1, a, b, c, 9
Answer» In the arithmetic progression given below, find the common difference. 1, a, b, c, 9

Discussion

15.	A cone shaped firework is of base-diametre 10 centimetres and height 12 centimetres. 10000 such firework are to be wrapped in colour paper. The price of paper is 2 rupees per square metre. What is the total cost of wrapping?
Answer» A cone shaped firework is of base-diametre 10 centimetres and height 12 centimetres. 10000 such firework are to be wrapped in colour paper. The price of paper is 2 rupees per square metre. What is the total cost of wrapping?

Discussion

16.	Find the value of k, if x−1 is a factor of p(x) in each of the following cases: (i) p(x)=x2+x+k (ii) p(x)=2x2+kx+ √2 (iii) p(x)=kx2−√2x+1
Answer» Find the value of k, if x−1 is a factor of p(x) in each of the following cases: (i) p(x)=x²+x+k (ii) p(x)=2x²+kx+ $\sqrt{2}$ (iii) p(x)=kx²− $\sqrt{2}$ x+1

Discussion

17.	The perimeters of two similar triangles are 25 cm and 15 cm respectively. If one side of first triangle is 9 cm, what is the corresponding side of the other triangle?
Answer» The perimeters of two similar triangles are 25 cm and 15 cm respectively. If one side of first triangle is 9 cm, what is the corresponding side of the other triangle?

Discussion

18.	The circumference of the base of the cylindrical vessel is 132 cm and its height is 25 cm.How many litres of water can it hold? (1000cm3=1l)[Assume π=227]
Answer» The circumference of the base of the cylindrical vessel is 132 cm and its height is 25 cm. How many litres of water can it hold? $(1000 c m^{3} = 1 l) [A s s u m e π = \frac{22}{7}]$

18.

The circumference of the base of the cylindrical vessel is 132 cm and its height is 25 cm.How many litres of water can it hold? (1000cm3=1l)[Assume π=227]

Answer»

The circumference of the base of the cylindrical vessel is 132 cm and its height is 25 cm.

How many litres of water can it hold? $(1000 c m^{3} = 1 l) [A s s u m e π = \frac{22}{7}]$

Discussion

19.	A=⎡⎢⎣123231312⎤⎥⎦ and B=⎡⎢⎣141111⎤⎥⎦ Find the order of a matrix X such that A.X = B
Answer» $A = ⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 2 & 3 & 1 3 & 1 & 2 \end{matrix} ⎤ ⎥ ⎦ a n d B = ⎡ ⎢ ⎣ \begin{matrix} 141111 \end{matrix} ⎤ ⎥ ⎦$ Find the order of a matrix X such that A.X = B

Discussion

20.

Enter the following transactions in the Journal of Arun Govil & Co. : 2016 June 1 Arun Govil & Co. paid into bank as capital ₹ 6,00,000. June 3 Purchased goods from Mukesh of the list price of ₹ 2,00,000 at 10% trade discount. June 4 One-fourth of the above goods returned to Mukesh for not being upto specifications. June 6 Issued a cheque to Mukesh for the amount due to him after deducting 2% as cash discount. June 7 Withdrew from bank ₹ 2,50,000 for office use and ₹ 10,000 for personal use. June 10 Purchased a machinery for ₹ 1,00,000 and spent ₹ 5,000 on its installation. Payment for machinery was made by cheque and installation expenses were paid in cash. June 12 Sold goods for ₹ 1,00,000 to Amar. June 13 Amar clears his account by giving a cheque of ₹ 98,500. Cheque is immediately sent to bank. June 15 Purchased stationery for personal use ₹ 3,000 and for office use ₹ 5,000. June 20 Purchased land for ₹ 2,00,000 and paid 1% as brokerage and ₹ 15,000 as registration charges on it. Entire payment is made by Cheque. June 30 Wages due to labourers ₹ 20,000 and salary due to the clerk ₹ 30,000.

Answer» Enter the following transactions in the Journal of Arun Govil & Co. :

2016
June 1	Arun Govil & Co. paid into bank as capital ₹ 6,00,000.
June 3	Purchased goods from Mukesh of the list price of ₹ 2,00,000 at 10% trade discount.
June 4	One-fourth of the above goods returned to Mukesh for not being upto specifications.
June 6	Issued a cheque to Mukesh for the amount due to him after deducting 2% as cash discount.
June 7	Withdrew from bank ₹ 2,50,000 for office use and ₹ 10,000 for personal use.
June 10	Purchased a machinery for ₹ 1,00,000 and spent ₹ 5,000 on its installation. Payment for machinery was made by cheque and installation expenses were paid in cash.
June 12	Sold goods for ₹ 1,00,000 to Amar.
June 13	Amar clears his account by giving a cheque of ₹ 98,500. Cheque is immediately sent to bank.
June 15	Purchased stationery for personal use ₹ 3,000 and for office use ₹ 5,000.
June 20	Purchased land for ₹ 2,00,000 and paid 1% as brokerage and ₹ 15,000 as registration charges on it. Entire payment is made by Cheque.
June 30	Wages due to labourers ₹ 20,000 and salary due to the clerk ₹ 30,000.

Discussion

21.	if two equal chords of a circle intersect within the circle,prove that the line joining the point of intersection to the centre makes equal angles with the chor
Answer» if two equal chords of a circle intersect within the circle,prove that the line joining the point of intersection to the centre makes equal angles with the chor

Discussion

22.

If the mean of the following frequency distribution is 54, find the value of p. [CBSE 2006C] Class 0−20 20−40 40−60 60−80 80−100 Frequency 7 p 10 9 13

Answer» If the mean of the following frequency distribution is 54, find the value of p. [CBSE 2006C]

Class	0−20	20−40	40−60	60−80	80−100
Frequency	7	p	10	9	13

Discussion

23.	State whether the following quadrilaterals are similar or not:
Answer» State whether the following quadrilaterals are similar or not:

23.

State whether the following quadrilaterals are similar or not:

Answer»

State whether the following quadrilaterals are similar or not:

Discussion

24.	Sum of two positive integers is 52. Their L.C.M is 168. Find the numbers. Please do it by a method other than hit and trial.
Answer» Sum of two positive integers is 52. Their L.C.M is 168. Find the numbers. Please do it by a method other than hit and trial.

Discussion

25.	Choose the correct answer of the following question:A ladder 15 m long just reaches the top of a vertical wall. If the ladder makes an angle of 60° with the wall, then the height of the wall is(a) 153 m (b) 1532m (c) 152 m (d) 15 m [CBSE 2013]
Answer» Choose the correct answer of the following question: A ladder 15 m long just reaches the top of a vertical wall. If the ladder makes an angle of 60° with the wall, then the height of the wall is (a) $15 \sqrt{3}$ m (b) $\frac{15 \sqrt{3}}{2}$ m (c) $\frac{15}{2}$ m (d) 15 m [CBSE 2013]

Discussion

26.	If point (x,y) is equidistant from the point (a+b b-a) and (a-b a+b). Prove that bx = ay
Answer» If point (x,y) is equidistant from the point (a+b b-a) and (a-b a+b). Prove that bx = ay

Discussion

27.	The measurement of price elasticity of demand is based on the
Answer» The measurement of price elasticity of demand is based on the

Discussion

28.	What is the value of sin 60 - cos 30
Answer» What is the value of sin 60 - cos 30

Discussion

29.	How many three digit numbers have exactly three factors?
Answer» How many three digit numbers have exactly three factors?

Discussion

30.	If fx=1+x171+x191+x231+x231+x291+x341+x411+x431+x47=A+Bx+Cx2+ ______________, then A = _________.
Answer» If $f (x) = \|\begin{matrix} {(1 + x)}^{17} & {(1 + x)}^{19} & {(1 + x)}^{23} \\ {(1 + x)}^{23} & {(1 + x)}^{29} & {(1 + x)}^{34} \\ {(1 + x)}^{41} & {(1 + x)}^{43} & {(1 + x)}^{47} \end{matrix}\| = A + B x + C x^{2} +$ ______________, then A = _________.

Discussion

31.	A solid cylinder and a solid cone have equal base and equal height. If the radius and the height are in the ratio of 4:3, then total surface area of the cylinder to that of the cone are in the ratio
Answer» A solid cylinder and a solid cone have equal base and equal height. If the radius and the height are in the ratio of $4 : 3,$ then total surface area of the cylinder to that of the cone are in the ratio

Discussion

32.	Find the ratio in which the line segment joining the points A(3, −3) and B(−2, 7) is divided by the x-axis. Also, find the coordinates of the point of division. [CBSE 2014]
Answer» Find the ratio in which the line segment joining the points A(3, −3) and B(−2, 7) is divided by the x-axis. Also, find the coordinates of the point of division. [CBSE 2014]

Discussion

33.	Without solving the following quadratic equation, find the value of ‘m’ for which the given equation has real & equal roots. 2 + 2( – 1) + ( + 5) = 0
Answer» Without solving the following quadratic equation, find the value of ‘m’ for which the given equation has real & equal roots. ² + 2( – 1) + ( + 5) = 0

Discussion

34.	Find the roots of the quadratic equation by factorisation: √2x2+7x+5√2=0
Answer» Find the roots of the quadratic equation by factorisation: $\sqrt{2} x^{2} + 7 x + 5 \sqrt{2} = 0$

Discussion

35.	A square chess board contains 64 equal squares and the area of each square is 6.25 cm2. A border around the board is 2 cm wide. Find the length of the side of the chess board.
Answer» A square chess board contains 64 equal squares and the area of each square is $6.25 c m^{2}$ . A border around the board is 2 cm wide. Find the length of the side of the chess board.

Discussion

36.	If α, β are the zeros of the polynomial 2y2 + 7y + 5, write the value of α + β + αβ.
Answer» If α, β are the zeros of the polynomial 2y² + 7y + 5, write the value of α + β + αβ.

Discussion

37.	The co-ordinates of the point on y-axis which is equidistant from the points A(3, 1) and B(1, 5) is:
Answer» The co-ordinates of the point on y-axis which is equidistant from the points A(3, 1) and B(1, 5) is:

Discussion

38.	Fill in the blanks: (i) The probability of an impossible event is (ii) The probability of a sure even is (iii) For any event E, P(E) + P (not E)= .... (iv) The probability of a possible but not a sure event lies between... and .... (v) The sum of probabilities of all the outcomes fo an experiment is ....
Answer» Fill in the blanks: (i) The probability of an impossible event is (ii) The probability of a sure even is (iii) For any event E, P(E) + P (not E)= .... (iv) The probability of a possible but not a sure event lies between... and .... (v) The sum of probabilities of all the outcomes fo an experiment is ....

Discussion

39.	Arun is instructed to clap every time the count of the instructor reaches a multiple of 3. Varun is instructed to clap every time the count reaches a multiple of 7. They would clap at the same time when the count reaches ___
Answer» Arun is instructed to clap every time the count of the instructor reaches a multiple of 3. Varun is instructed to clap every time the count reaches a multiple of 7. They would clap at the same time when the count reaches ___

39.

Arun is instructed to clap every time the count of the instructor reaches a multiple of 3. Varun is instructed to clap every time the count reaches a multiple of 7. They would clap at the same time when the count reaches ___

Answer»

Arun is instructed to clap every time the count of the instructor reaches a multiple of 3. Varun is instructed to clap every time the count reaches a multiple of 7. They would clap at the same time when the count reaches ___

Discussion

40.	A chord of a circle of radius 12 cm subtends an angle of 120° at the centre. Find the area of the corresponding segment of the circle.[Use π = 3.14 and]
Answer» A chord of a circle of radius 12 cm subtends an angle of 120° at the centre. Find the area of the corresponding segment of the circle. [Use π = 3.14 and]

40.

A chord of a circle of radius 12 cm subtends an angle of 120° at the centre. Find the area of the corresponding segment of the circle.[Use π = 3.14 and]

Answer»

A chord of a circle of radius 12 cm subtends an angle of 120° at the centre. Find the area of the corresponding segment of the circle.

[Use π = 3.14 and]

Discussion

41.	A two digit number is such that the product of its digits is 18. When 63 is subtracted from the number, the digits interchange their places. Find the number.
Answer» A two digit number is such that the product of its digits is 18. When 63 is subtracted from the number, the digits interchange their places. Find the number.

Discussion

42.	Solve the following quadratic equations by factorization:6x2 − x − 2 = 0
Answer» Solve the following quadratic equations by factorization: 6x² − x − 2 = 0

Discussion

43.	Two dice are thrown simultaneously. The probability that the sum of numbers on the faces is divisible by 4 or 6 will be
Answer» Two dice are thrown simultaneously. The probability that the sum of numbers on the faces is divisible by 4 or 6 will be

Discussion

44.

Find the mean of the following data: x: 19 21 23 25 27 29 31 f: 13 15 16 18 16 15 13

Answer» Find the mean of the following data:

x:	19	21	23	25	27	29	31
f:	13	15	16	18	16	15	13

Discussion

45.	Construct a ∆ABC in which BC = 5 cm, AB = 3.8 cm and AC = 2.6 cm. Bisect the largest angle of this triangle.
Answer» Construct a ∆ABC in which BC = 5 cm, AB = 3.8 cm and AC = 2.6 cm. Bisect the largest angle of this triangle.

Discussion

46.	If the height of a cylinder is doubled, what should be the radius of the base so that the resulting cylinder has the same volume as the original cylinder? (Take height and radius of the original cylinder as h and r respectively).
Answer» If the height of a cylinder is doubled, what should be the radius of the base so that the resulting cylinder has the same volume as the original cylinder? (Take height and radius of the original cylinder as h and r respectively).

Discussion

47.	In what ratio, does the x−axis divides the line segment joining the points (2, -3) and (5, 6)? [4 MARKS]
Answer» In what ratio, does the $x - a x i s$ divides the line segment joining the points (2, -3) and (5, 6)? [4 MARKS]

Discussion

48.	Three sets of English, Hindi and Mathematics books have to be stacked in such a way that all the books are stored topic wise and the height of each stack is the same. The number of English books is 96, the number of Hindi books is 240 and the number of Mathematics books is 336. Assuming that the books are of the same thickness, determine the number of stacks of English, Hindi and Mathematics books. [4 MARKS]
Answer» Three sets of English, Hindi and Mathematics books have to be stacked in such a way that all the books are stored topic wise and the height of each stack is the same. The number of English books is 96, the number of Hindi books is 240 and the number of Mathematics books is 336. Assuming that the books are of the same thickness, determine the number of stacks of English, Hindi and Mathematics books. [4 MARKS]

Discussion

49.	Question 1 (ii) Fill in the blanks in the following table, given that a is the first term, d the common difference and an the nth term of the A.P. adnan(ii)−18……100
Answer» Question 1 (ii) Fill in the blanks in the following table, given that a is the first term, d the common difference and $a_{n}$ the $n^{t h}$ term of the A.P. $\begin{matrix} a & d & n & a_{n} (i i) & - 18 & \dots \dots & 10 & 0 \end{matrix}$

Discussion

50.	Find the equation of the line through the intersection of 2x +y = 8, 3x – 7 = y and parallel to 4x +y = 11.
Answer» Find the equation of the line through the intersection of 2x +y = 8, 3x – 7 = y and parallel to 4x +y = 11.

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Let P(x)=x2+bx+c, where b and c are integers. If P(x) is a factor of both x4+6x2+25 and 3x4+4x2+28x+5, then the value of P(3) is

In below figure, a right triangle BOA is given. C is the mid-point of the hypotenuse AB. Show that it is equidistant from the vertices O, A and B.

The maximum volume of a cone that can be carved out of a solid hemisphere of radius r is(a) 3πr2(b) πr33(c) πr23(d) 3πr3

In the given figure, ∆QRS is an equilateral triangle. Prove that,(1) arc RS ≅ arc QS ≅ arc QR(2) m(arc QRS) = 240°.

ntfind the lcm and hcf of the polynomials (x squared +y)(x squared + x - 2)and (x squared + 2x + 1) (x squared +2x -3).n ntverify if the product of the lcm and the hcf is equal to the product of polynomials.n

In this figure, what fraction of the circumference of the circle is the length of the arc ADB?

If the diameter of a sphere is decreased by 25%, then its curved surface area decreases by:

Show graphically that each of the following given systems of equations is inconsistent,i.e., has no solution: x−2y=6,3x−6y=0

If A + B = 90° and cos B=35, what is the value of sin A?

The point on the x-axis which is equidistance from (2, –5) and (–2, 9) is

With respect to the roots of x2–2x–3=0, we can say that

The total number of one-one functions from the set A = {a, b, c} to the set B = {x, y, z, t} is _________.

25. From the top of a building 16m high the angular elevation of the top of a hill and angular depression of the door of the hill is 30degree find the height of the hill

In the arithmetic progression given below, find the common difference.1, a, b, c, 9

A cone shaped firework is of base-diametre 10 centimetres and height 12 centimetres. 10000 such firework are to be wrapped in colour paper. The price of paper is 2 rupees per square metre. What is the total cost of wrapping?

Find the value of k, if x−1 is a factor of p(x) in each of the following cases: (i) p(x)=x2+x+k (ii) p(x)=2x2+kx+ √2 (iii) p(x)=kx2−√2x+1

The perimeters of two similar triangles are 25 cm and 15 cm respectively. If one side of first triangle is 9 cm, what is the corresponding side of the other triangle?

The circumference of the base of the cylindrical vessel is 132 cm and its height is 25 cm.How many litres of water can it hold? (1000cm3=1l)[Assume π=227]

A=⎡⎢⎣123231312⎤⎥⎦ and B=⎡⎢⎣141111⎤⎥⎦ Find the order of a matrix X such that A.X = B

if two equal chords of a circle intersect within the circle,prove that the line joining the point of intersection to the centre makes equal angles with the chor

If the mean of the following frequency distribution is 54, find the value of p. [CBSE 2006C] Class 0−20 20−40 40−60 60−80 80−100 Frequency 7 p 10 9 13

State whether the following quadrilaterals are similar or not:

Sum of two positive integers is 52. Their L.C.M is 168. Find the numbers. Please do it by a method other than hit and trial.

Choose the correct answer of the following question:A ladder 15 m long just reaches the top of a vertical wall. If the ladder makes an angle of 60° with the wall, then the height of the wall is(a) 153 m (b) 1532m (c) 152 m (d) 15 m [CBSE 2013]

If point (x,y) is equidistant from the point (a+b b-a) and (a-b a+b). Prove that bx = ay

The measurement of price elasticity of demand is based on the

What is the value of sin 60 - cos 30

How many three digit numbers have exactly three factors?

If fx=1+x171+x191+x231+x231+x291+x341+x411+x431+x47=A+Bx+Cx2+ ______________, then A = _________.

A solid cylinder and a solid cone have equal base and equal height. If the radius and the height are in the ratio of 4:3, then total surface area of the cylinder to that of the cone are in the ratio

Find the ratio in which the line segment joining the points A(3, −3) and B(−2, 7) is divided by the x-axis. Also, find the coordinates of the point of division. [CBSE 2014]

Without solving the following quadratic equation, find the value of ‘m’ for which the given equation has real &amp; equal roots. 2 + 2( – 1) + ( + 5) = 0

Find the roots of the quadratic equation by factorisation: √2x2+7x+5√2=0

A square chess board contains 64 equal squares and the area of each square is 6.25 cm2. A border around the board is 2 cm wide. Find the length of the side of the chess board.

If α, β are the zeros of the polynomial 2y2 + 7y + 5, write the value of α + β + αβ.

The co-ordinates of the point on y-axis which is equidistant from the points A(3, 1) and B(1, 5) is:

Arun is instructed to clap every time the count of the instructor reaches a multiple of 3. Varun is instructed to clap every time the count reaches a multiple of 7. They would clap at the same time when the count reaches ___

A chord of a circle of radius 12 cm subtends an angle of 120° at the centre. Find the area of the corresponding segment of the circle.[Use π = 3.14 and]

A two digit number is such that the product of its digits is 18. When 63 is subtracted from the number, the digits interchange their places. Find the number.

Solve the following quadratic equations by factorization:6x2 − x − 2 = 0

Two dice are thrown simultaneously. The probability that the sum of numbers on the faces is divisible by 4 or 6 will be

Find the mean of the following data: x: 19 21 23 25 27 29 31 f: 13 15 16 18 16 15 13

Construct a ∆ABC in which BC = 5 cm, AB = 3.8 cm and AC = 2.6 cm. Bisect the largest angle of this triangle.

If the height of a cylinder is doubled, what should be the radius of the base so that the resulting cylinder has the same volume as the original cylinder? (Take height and radius of the original cylinder as h and r respectively).

In what ratio, does the x−axis divides the line segment joining the points (2, -3) and (5, 6)? [4 MARKS]

Question 1 (ii) Fill in the blanks in the following table, given that a is the first term, d the common difference and an the nth term of the A.P. adnan(ii)−18……100

Find the equation of the line through the intersection of 2x +y = 8, 3x – 7 = y and parallel to 4x +y = 11.

If fx=1+x171+x191+x231+x231+x291+x341+x411+x431+x47=A+Bx+Cx2+ ______, then A = _.

Without solving the following quadratic equation, find the value of ‘m’ for which the given equation has real & equal roots. 2 + 2( – 1) + ( + 5) = 0