32581 + Interview Questions in Mathematics Page 98 InterviewSolution

4851.	Write the value of cos1° cos2° ... cos180°.
Answer» $Write the value of \cos 1 ° \cos 2 ° . . . \cos 180 ° .$

Discussion

4852.	Construct ∆NTS where NT = 5.7 cm, TS = 7.5 cm and ∠NTS = 110 ° and draw incircle and circumcircle of it.
Answer» Construct $∆$ NTS where NT = 5.7 cm, TS = 7.5 cm and $∠$ NTS = 110 ° and draw incircle and circumcircle of it.

Discussion

4853.	Which figure is formed by three non-collinear points ?
Answer» Which figure is formed by three non-collinear points ?

Discussion

4854.	(1)In Figure, AD is a median of a triangle ABC and AM⊥BC.Prove that :(i)AC2=AD2+BC×DM+(BC2)2(2)In Figure, AD is a median of a triangle ABC and AM⊥BC.Prove that : (ii)AB2=AD2−BC×DM+(BC2)2(3)In Figure, AD is a median of a triangle ABC and AM⊥BC.Prove that : (iii)AC2+AB2=2AD2+12BC2
Answer» (1) In Figure, $A D$ is a median of a triangle $A B C$ and $A M ⊥ B C .$ Prove that : $(i) A C^{2} = A D^{2} + B C \times D M + {(\frac{B C}{2})}^{2}$ (2) In Figure, $A D$ is a median of a triangle $A B C$ and $A M ⊥ B C .$ Prove that : $(i i) A B^{2} = A D^{2} - B C \times D M + {(\frac{B C}{2})}^{2}$ (3) In Figure, $A D$ is a median of a triangle $A B C$ and $A M ⊥ B C .$ Prove that : $(i i i) A C^{2} + A B^{2} = 2 A D^{2} + \frac{1}{2} B C^{2}$

Discussion

4855.	What is the remainder on dividing the polynomial p(x) by ax + b? What is condition under which ax + b is a factor of the polynomial p(x)?
Answer» What is the remainder on dividing the polynomial p(x) by ax + b? What is condition under which ax + b is a factor of the polynomial p(x)?

Discussion

4856.	Find the domain of the given function.
Answer» Find the domain of the given function.

Discussion

4857.	What is the coefficient of x0 in the polynomial x4+9x−5? -5
Answer» What is the coefficient of $x^{0}$ in the polynomial $x^{4} + 9 x - 5$ ? -5

Discussion

4858.	Consider the following distribution of SO2 concentration in the air(in ppm = parts per million) in 30 localities. Find the mean SO2 concentration using assumed mean method. Also find the values of A, B and C Class IntervalFrequency(fi)Class mark(xi)di=xi−a0.00−0.0440.02−0.080.04−0.0890.06A.........0.08−0.1290.10B........0.12−0.1620.140.040.16−0.2040.18C........0.20−0.2420.220.12Total∑fi=30
Answer» Consider the following distribution of SO2 concentration in the air(in ppm = parts per million) in 30 localities. Find the mean SO2 concentration using assumed mean method. Also find the values of A, B and C $\begin{matrix} C l a s s I n t e r v a l & F r e q u e n c y (f_{i}) & C l a s s m a r k (x_{i}) & d_{i} = x_{i} - a 0.00 - 0.04 & 4 & 0.02 & - 0.08 0.04 - 0.08 & 9 & 0.06 & A . . . . . . . . . 0.08 - 0.12 & 9 & 0.10 & B . . . . . . . . 0.12 - 0.16 & 2 & 0.14 & 0.04 0.16 - 0.20 & 4 & 0.18 & C . . . . . . . . 0.20 - 0.24 & 2 & 0.22 & 0.12 T o t a l & \sum f_{i} = 30 \end{matrix}$

4858.

Consider the following distribution of SO2 concentration in the air(in ppm = parts per million) in 30 localities. Find the mean SO2 concentration using assumed mean method. Also find the values of A, B and C Class IntervalFrequency(fi)Class mark(xi)di=xi−a0.00−0.0440.02−0.080.04−0.0890.06A.........0.08−0.1290.10B........0.12−0.1620.140.040.16−0.2040.18C........0.20−0.2420.220.12Total∑fi=30

Answer»

Consider the following distribution of SO2 concentration in the air(in ppm = parts per million) in 30 localities. Find the mean SO2 concentration using assumed mean method. Also find the values of A, B and C

$\begin{matrix} C l a s s I n t e r v a l & F r e q u e n c y (f_{i}) & C l a s s m a r k (x_{i}) & d_{i} = x_{i} - a 0.00 - 0.04 & 4 & 0.02 & - 0.08 0.04 - 0.08 & 9 & 0.06 & A . . . . . . . . . 0.08 - 0.12 & 9 & 0.10 & B . . . . . . . . 0.12 - 0.16 & 2 & 0.14 & 0.04 0.16 - 0.20 & 4 & 0.18 & C . . . . . . . . 0.20 - 0.24 & 2 & 0.22 & 0.12 T o t a l & \sum f_{i} = 30 \end{matrix}$

Discussion

4859.	A parachutist descending vertically makes an angle of elevation of 30° and 60° at two observation points on the same side of the watch tower. The distance between two observation points is 100 m. Find: the approximate height from which it falls.
Answer» A parachutist descending vertically makes an angle of elevation of 30° and 60° at two observation points on the same side of the watch tower. The distance between two observation points is 100 m. Find: the approximate height from which it falls.

Discussion

4860.	Water running in a cylindrical pipe of inner diameter 7 cm, is collected in a container at the rate of 192.5 litres per minute. Find the rate of flow of water in the pipe in km/hr. [CBSE 2013]
Answer» Water running in a cylindrical pipe of inner diameter 7 cm, is collected in a container at the rate of 192.5 litres per minute. Find the rate of flow of water in the pipe in km/hr. [CBSE 2013]

Discussion

4861.	In the given figure, if the angle between two radii of a circle is 120∘, then find ∠PAO.
Answer» In the given figure, if the angle between two radii of a circle is $120^{\circ}$ , then find $∠$ PAO.

Discussion

4862.	Find the cardinal number of the following sets:(i) A = {1, 2, 3, 4, 5, 7, 9, 11}(ii) M = {p,q,r,s,t,u}
Answer» Find the cardinal number of the following sets: (i) A = {1, 2, 3, 4, 5, 7, 9, 11} (ii) M = {p,q,r,s,t,u}

Discussion

4863.	Which of the following unit vector is coplanar with vectors →A=2ˆi−3ˆj+ˆk and →B=3ˆi−ˆj−3ˆk and orthogonal to the vector →C=8ˆi−5ˆj+2ˆk
Answer» Which of the following unit vector is coplanar with vectors $\to A = 2 ˆ i - 3 ˆ j + ˆ k and \to B = 3 ˆ i - ˆ j - 3 ˆ k$ and orthogonal to the vector $\to C = 8 ˆ i - 5 ˆ j + 2 ˆ k$

Discussion

4864.	The angle of elevation of a cloud from a point h metre above a lake is θ. The angle of depression of its reflection in the lake is 45°. The height of the cloud is(a) h tan (45° + θ)(b) h cot (45° − θ)(c) h tan (45° − θ)(d) h cot (45° + θ)
Answer» The angle of elevation of a cloud from a point h metre above a lake is θ. The angle of depression of its reflection in the lake is 45°. The height of the cloud is (a) h tan (45° + θ) (b) h cot (45° − θ) (c) h tan (45° − θ) (d) h cot (45° + θ)

Discussion

4865.	The above figure is a square. Find the value of x1+y1+x2+y2+x3+y3 .
Answer» The above figure is a square. Find the value of $x_{1} + y_{1} + x_{2} + y_{2} + x_{3} + y_{3}$ .

Discussion

4866.	In figure, PQ is a tangent from an external point P to a circle with centre O and OP cuts the circle at T and QOR is a diameter. If ∠POR=130∘ and S is a point on the circle, find ∠1+∠2
Answer» In figure, PQ is a tangent from an external point P to a circle with centre O and OP cuts the circle at T and QOR is a diameter. If $∠ P O R = 130^{\circ}$ and S is a point on the circle, find $∠ 1 + ∠ 2$

Discussion

4867.	The below table shows that profit made by a group of shops in mall. Then the median is Profit per shop less than (%)102030405060No. of shops12182720176
Answer» The below table shows that profit made by a group of shops in mall. Then the median is $\begin{matrix} P r o f i t p e r s h o p l e s s t h a n (%) & 10 & 20 & 30 & 40 & 50 & 60 N o . o f s h o p s & 12 & 18 & 27 & 20 & 17 & 6 \end{matrix}$

4867.

The below table shows that profit made by a group of shops in mall. Then the median is Profit per shop less than (%)102030405060No. of shops12182720176

Answer»

The below table shows that profit made by a group of shops in mall. Then the median is

$\begin{matrix} P r o f i t p e r s h o p l e s s t h a n (%) & 10 & 20 & 30 & 40 & 50 & 60 N o . o f s h o p s & 12 & 18 & 27 & 20 & 17 & 6 \end{matrix}$

Discussion

4868.	The students of a school decided to beautify the school on the annual day by fixing colourful on the straight passage of the school . They have 27 flags to be fixed at intervals of every 2 metre . The flags are stored at the position of the middle most flag . Ruchi was given the responsibility of placing the flags . Ruchi kept her books where the flags were stored . She could carry only one flag at a time . How much distance did she cover in completing this job and returning back to collect her books ? What is the maximum distance she travelled carrying a flag ?
Answer» The students of a school decided to beautify the school on the annual day by fixing colourful on the straight passage of the school . They have 27 flags to be fixed at intervals of every 2 metre . The flags are stored at the position of the middle most flag . Ruchi was given the responsibility of placing the flags . Ruchi kept her books where the flags were stored . She could carry only one flag at a time . How much distance did she cover in completing this job and returning back to collect her books ? What is the maximum distance she travelled carrying a flag ?

Discussion

4869.	Bat and Ball are partners sharing the profits in the ratio of 2 : 3 with capitals of ₹ 1,20,000 and ₹ 60,000 respectively. On 1st October, 2018, Bat and Ball gave loans of ₹ 2,40,000 and ₹ 1,20,000 respectively to the firm. Bat had allowed the firm to use his property for business for a monthly rent of ₹ 5,000. The loss for the year ended 31st March, 2019 before rent and interest amounted to ₹ 9,000. Show distribution of profit/loss.
Answer» Bat and Ball are partners sharing the profits in the ratio of 2 : 3 with capitals of ₹ 1,20,000 and ₹ 60,000 respectively. On 1st October, 2018, Bat and Ball gave loans of ₹ 2,40,000 and ₹ 1,20,000 respectively to the firm. Bat had allowed the firm to use his property for business for a monthly rent of ₹ 5,000. The loss for the year ended 31st March, 2019 before rent and interest amounted to ₹ 9,000. Show distribution of profit/loss.

Discussion

4870.	If a and b are relatively prime numbers, then what is their LCM?
Answer» If a and b are relatively prime numbers, then what is their LCM?

Discussion

4871.	Split 207 into three parts such that these are in A.P. and the product of the two smaller parts is 4623.
Answer» Split 207 into three parts such that these are in A.P. and the product of the two smaller parts is 4623.

Discussion

4872.	Find four consecutive terms in A.P whose sum is 20 and the sum of whose squares is 120.
Answer» Find four consecutive terms in A.P whose sum is 20 and the sum of whose squares is 120.

Discussion

4873.	Solve each of the following quadratic equations: xx+1+x+1x=2415,x≠0,−1
Answer» Solve each of the following quadratic equations: $\frac{x}{x + 1} + \frac{x + 1}{x} = 2 \frac{4}{15}, x \neq 0, - 1$

Discussion

4874.	Find the equation of the perpendicular bisector of the line segment joining A (2, 5) and B (4, 3).
Answer» Find the equation of the perpendicular bisector of the line segment joining A (2, 5) and B (4, 3).

Discussion

4875.	11.For how many pairs of positive integers (x,y) are possible to satisfy Equation x+7y = 100
Answer» 11.For how many pairs of positive integers (x,y) are possible to satisfy Equation x+7y = 100

Discussion

4876.	Show that the points (-2, 3), (8, 3) and (6, 7) are the vertices of a right triangle.
Answer» Show that the points (-2, 3), (8, 3) and (6, 7) are the vertices of a right triangle.

Discussion

4877.	Find the probability that a number selected from the number 1 to 25 is not a prime number when each of the given numbers is equally likely to be selected.
Answer» Find the probability that a number selected from the number 1 to 25 is not a prime number when each of the given numbers is equally likely to be selected.

Discussion

4878.	The students of Byjus were asked to participate in a competition for making and decorating penholders in the shape of a cylinder with a base, using cardboard. Each penholder was to be of radius 3 cm and height 10.5 cm. The Byjus was to supply the competitors with cardboard. If there were 35 competitors, how much cardboard was required to be bought for the competition?
Answer» The students of Byjus were asked to participate in a competition for making and decorating penholders in the shape of a cylinder with a base, using cardboard. Each penholder was to be of radius 3 cm and height 10.5 cm. The Byjus was to supply the competitors with cardboard. If there were 35 competitors, how much cardboard was required to be bought for the competition?

Discussion

4879.	In the figure given below, AB\|\|EF\|\|CD, If AB =22.5 cm, EP =7.5 cm, PC =15 cm and DC =27 cm. Calculate: (i) EF (ii) AC
Answer» In the figure given below, AB\|\|EF\|\|CD, If AB =22.5 cm, EP =7.5 cm, PC =15 cm and DC =27 cm. Calculate: (i) EF (ii) AC

4879.

In the figure given below, AB||EF||CD, If AB =22.5 cm, EP =7.5 cm, PC =15 cm and DC =27 cm. Calculate: (i) EF (ii) AC

Answer»

In the figure given below, AB||EF||CD, If AB =22.5 cm, EP =7.5 cm, PC =15 cm and DC =27 cm.

Calculate: (i) EF (ii) AC

Discussion

4880.	If sin 3A = cos (A – 10°) and 3A is acute then A = ?(a) 15°(b) 20°(c) 25°(d) 30°
Answer» If sin 3A = cos (A – 10°) and 3A is acute then A = ? (a) 15° (b) 20° (c) 25° (d) 30°

Discussion

4881.	In Fig. 3, two tangents PQ are PR are drawn to a circle with centre O from an external point P. Prove that ∠QPR = 2 ∠OQR.
Answer» In Fig. 3, two tangents PQ are PR are drawn to a circle with centre O from an external point P. Prove that ∠QPR = 2 ∠OQR.

Discussion

4882.	A right triangle is formed by connecting the 3 coordinates A, B and C. Find the area of the ΔABC, if AB and BC are parallel to the coordinate axes as shown in the figure.
Answer» A right triangle is formed by connecting the 3 coordinates A, B and C. Find the area of the $Δ A B C$ , if AB and BC are parallel to the coordinate axes as shown in the figure.

Discussion

4883.	A man sold a chair and a table together for ₹1,520, thereby making a profit of 25% on chair and 10% on table. By selling them together for ₹1,535, he would would have made a profit of 10% on the chair and 25% on the table. Find the cost of each.
Answer» A man sold a chair and a table together for ₹1,520, thereby making a profit of 25% on chair and 10% on table. By selling them together for ₹1,535, he would would have made a profit of 10% on the chair and 25% on the table. Find the cost of each.

Discussion

4884.	Question 74On throwing a die once, the probability of occurence of a composite number is 12
Answer» Question 74 On throwing a die once, the probability of occurence of a composite number is $\frac{1}{2}$

4884.

Question 74On throwing a die once, the probability of occurence of a composite number is 12

Answer»

Question 74

On throwing a die once, the probability of occurence of a composite number is $\frac{1}{2}$

Discussion

4885.	If x= -2 is a root of equation 3x 2 + 7x + p = 0, then find the value of k so that the roots of the equation x2 + k(4x + k - 1) + p=0 are equal.
Answer» If x= -2 is a root of equation 3x ²+ 7x + p = 0, then find the value of k so that the roots of the equation x²+ k(4x + k - 1) + p=0 are equal.

Discussion

4886.	What comes next in the Arithmetic progression: 150, 300, 450, 600, ...?
Answer» What comes next in the Arithmetic progression: 150, 300, 450, 600, ...?

Discussion

4887.	If the median of the following frequency distribution is 32.5, find the values of f1 and f2 Class0−1010−2020−3030−4040−5050−6060−70TotalintervalFrequencyf15912f23240
Answer» If the median of the following frequency distribution is 32.5, find the values of $f_{1}$ and $f_{2}$ $\begin{matrix} Class & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 & 50 - 60 & 60 - 70 & Total interval Frequency & f_{1} & 5 & 9 & 12 & f_{2} & 3 & 2 & 40 \end{matrix}$

Discussion

4888.	If the points A (-2, 1), B (a, b) and C(4, -1) are collinear and a- b = 1, find the values of a and b.
Answer» If the points A (-2, 1), B (a, b) and C(4, -1) are collinear and a- b = 1, find the values of a and b.

Discussion

4889.	If α and β are the zeros of the polynomial f(x)=5x2−7x+1, find the value of (1α+1β)..
Answer» If $α$ and $β$ are the zeros of the polynomial $f (x) = 5 x^{2} - 7 x + 1$ , find the value of $(\frac{1}{α} + \frac{1}{β}) .$ .

Discussion

4890.	Find:522+37−821−67
Answer» Find: $\frac{5}{22} + \frac{3}{7} - \frac{8}{21} - \frac{6}{7}$

Discussion

4891.	Can we represent --π through number line.If so how?
Answer» Can we represent --π through number line.If so how?

Discussion

4892.	A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 1 cm and the height of the cone is equal to its radius. Find the volume of the solid in terms of π.
Answer» A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 1 cm and the height of the cone is equal to its radius. Find the volume of the solid in terms of $π$ .

Discussion

4893.	In an AP the first term is 2, the last term is 29 and sum of all the terms is 155. Find the common difference of the AP.
Answer» In an AP the first term is 2, the last term is 29 and sum of all the terms is 155. Find the common difference of the AP.

Discussion

4894.	Examine each of the following statements and comment:(i) If two coins are tossed at the same time, there are 3 possible outcomes−two heads, two tails, or one of each. Therefore, for each outcome, the probability of occurrence is 1/3.(ii) If a die in thrown once, there are two possible outcomes − an odd number or an even number. Therefore, the probability of obtaining an odd number is 1/2 and the probability of obtaining an even number is 1/2.
Answer» Examine each of the following statements and comment: (i) If two coins are tossed at the same time, there are 3 possible outcomes−two heads, two tails, or one of each. Therefore, for each outcome, the probability of occurrence is 1/3. (ii) If a die in thrown once, there are two possible outcomes − an odd number or an even number. Therefore, the probability of obtaining an odd number is 1/2 and the probability of obtaining an even number is 1/2.

Discussion

4895.	97.a bag contains 5 red balls and some blue balls if the probability of drawing a blue ball from the bag is four times that of a red ball ,then find the number of blue balls in the bag .
Answer» 97.a bag contains 5 red balls and some blue balls if the probability of drawing a blue ball from the bag is four times that of a red ball ,then find the number of blue balls in the bag .

Discussion

4896.	71. 1-cosA+cosB-cos(A+B)/1+cosA-cosB-cos(A+B) equals to what
Answer» 71. 1-cosA+cosB-cos(A+B)/1+cosA-cosB-cos(A+B) equals to what

Discussion

4897.	For what value of α, the system of equations will have no solution?αx + 3y = α − 312x + αy = α
Answer» For what value of α, the system of equations will have no solution? αx + 3y = α − 3 12x + αy = α

Discussion

4898.	An isosceles triangle as shown below is to be made:The height should be 2 metres less than the base and the area should be 12 square metres. What should be the lengths of the sides.
Answer» An isosceles triangle as shown below is to be made: The height should be 2 metres less than the base and the area should be 12 square metres. What should be the lengths of the sides.

4898.

An isosceles triangle as shown below is to be made:The height should be 2 metres less than the base and the area should be 12 square metres. What should be the lengths of the sides.

Answer»

An isosceles triangle as shown below is to be made:

The height should be 2 metres less than the base and the area should be 12 square metres. What should be the lengths of the sides.

Discussion

4899.	The discriminant of the quadratic equation 3x2−4x−2=0 is
Answer» The discriminant of the quadratic equation $3 x^{2} - 4 x - 2 = 0$ is

Discussion

4900.	A point P (-2, 3) is reflected in line x = 2 to point P'. Find the co-ordinates of P'.
Answer» A point P (-2, 3) is reflected in line x = 2 to point P'. Find the co-ordinates of P'.

Discussion

Explore topic-wise InterviewSolutions in .

Write the value of cos1° cos2° ... cos180°.

Construct ∆NTS where NT = 5.7 cm, TS = 7.5 cm and ∠NTS = 110 ° and draw incircle and circumcircle of it.

Which figure is formed by three non-collinear points ?

(1)In Figure, AD is a median of a triangle ABC and AM⊥BC.Prove that :(i)AC2=AD2+BC×DM+(BC2)2(2)In Figure, AD is a median of a triangle ABC and AM⊥BC.Prove that : (ii)AB2=AD2−BC×DM+(BC2)2(3)In Figure, AD is a median of a triangle ABC and AM⊥BC.Prove that : (iii)AC2+AB2=2AD2+12BC2

What is the remainder on dividing the polynomial p(x) by ax + b? What is condition under which ax + b is a factor of the polynomial p(x)?

Find the domain of the given function.

What is the coefficient of x0 in the polynomial x4+9x−5? -5

A parachutist descending vertically makes an angle of elevation of 30° and 60° at two observation points on the same side of the watch tower. The distance between two observation points is 100 m. Find: the approximate height from which it falls.

Water running in a cylindrical pipe of inner diameter 7 cm, is collected in a container at the rate of 192.5 litres per minute. Find the rate of flow of water in the pipe in km/hr. [CBSE 2013]

In the given figure, if the angle between two radii of a circle is 120∘, then find ∠PAO.

Find the cardinal number of the following sets:(i) A = {1, 2, 3, 4, 5, 7, 9, 11}(ii) M = {p,q,r,s,t,u}

Which of the following unit vector is coplanar with vectors →A=2ˆi−3ˆj+ˆk and →B=3ˆi−ˆj−3ˆk and orthogonal to the vector →C=8ˆi−5ˆj+2ˆk

The angle of elevation of a cloud from a point h metre above a lake is θ. The angle of depression of its reflection in the lake is 45°. The height of the cloud is(a) h tan (45° + θ)(b) h cot (45° − θ)(c) h tan (45° − θ)(d) h cot (45° + θ)

The above figure is a square. Find the value of x1+y1+x2+y2+x3+y3 .

In figure, PQ is a tangent from an external point P to a circle with centre O and OP cuts the circle at T and QOR is a diameter. If ∠POR=130∘ and S is a point on the circle, find ∠1+∠2

The below table shows that profit made by a group of shops in mall. Then the median is Profit per shop less than (%)102030405060No. of shops12182720176

If a and b are relatively prime numbers, then what is their LCM?

Split 207 into three parts such that these are in A.P. and the product of the two smaller parts is 4623.

Find four consecutive terms in A.P whose sum is 20 and the sum of whose squares is 120.

Solve each of the following quadratic equations: xx+1+x+1x=2415,x≠0,−1

Find the equation of the perpendicular bisector of the line segment joining A (2, 5) and B (4, 3).

11.For how many pairs of positive integers (x,y) are possible to satisfy Equation x+7y = 100

Show that the points (-2, 3), (8, 3) and (6, 7) are the vertices of a right triangle.

Find the probability that a number selected from the number 1 to 25 is not a prime number when each of the given numbers is equally likely to be selected.

In the figure given below, AB||EF||CD, If AB =22.5 cm, EP =7.5 cm, PC =15 cm and DC =27 cm. Calculate: (i) EF (ii) AC

If sin 3A = cos (A – 10°) and 3A is acute then A = ?(a) 15°(b) 20°(c) 25°(d) 30°

In Fig. 3, two tangents PQ are PR are drawn to a circle with centre O from an external point P. Prove that ∠QPR = 2 ∠OQR.

A right triangle is formed by connecting the 3 coordinates A, B and C. Find the area of the ΔABC, if AB and BC are parallel to the coordinate axes as shown in the figure.

A man sold a chair and a table together for ​₹1,520, thereby making a profit of 25% on chair and 10% on table. By selling them together for ​₹1,535, he would would have made a profit of 10% on the chair and 25% on the table. Find the cost of each.

Question 74On throwing a die once, the probability of occurence of a composite number is 12

If x= -2 is a root of equation 3x 2 + 7x + p = 0, then find the value of k so that the roots of the equation x2 + k(4x + k - 1) + p=0 are equal.

What comes next in the Arithmetic progression: 150, 300, 450, 600, ...?

If the median of the following frequency distribution is 32.5, find the values of f1 and f2 Class0−1010−2020−3030−4040−5050−6060−70TotalintervalFrequencyf15912f23240

If the points A (-2, 1), B (a, b) and C(4, -1) are collinear and a- b = 1, find the values of a and b.

If α and β are the zeros of the polynomial f(x)=5x2−7x+1, find the value of (1α+1β)..

Find:522+37−821−67

Can we represent --π through number line.If so how?

A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 1 cm and the height of the cone is equal to its radius. Find the volume of the solid in terms of π.

In an AP the first term is 2, the last term is 29 and sum of all the terms is 155. Find the common difference of the AP.

97.a bag contains 5 red balls and some blue balls if the probability of drawing a blue ball from the bag is four times that of a red ball ,then find the number of blue balls in the bag .

71. 1-cosA+cosB-cos(A+B)/1+cosA-cosB-cos(A+B) equals to what

For what value of α, the system of equations will have no solution?αx + 3y = α − 312x + αy = α

An isosceles triangle as shown below is to be made:The height should be 2 metres less than the base and the area should be 12 square metres. What should be the lengths of the sides.

The discriminant of the quadratic equation 3x2−4x−2=0 is

A point P (-2, 3) is reflected in line x = 2 to point P'. Find the co-ordinates of P'.

A man sold a chair and a table together for ₹1,520, thereby making a profit of 25% on chair and 10% on table. By selling them together for ₹1,535, he would would have made a profit of 10% on the chair and 25% on the table. Find the cost of each.