32581 + Interview Questions in Mathematics Page 287 InterviewSolution

14301.	The water image of given figure ‘X’ isदिये गए चित्र ‘X’ का जल प्रतिबिंब है
Answer» The water image of given figure ‘X’ is दिये गए चित्र ‘X’ का जल प्रतिबिंब है

Discussion

14302.	For the below given division of polynomial, Find the value of a. x−1x2−5x+ax3−6x2+11x−6 x3−5x2+ax–––––––––––––––2 −x2+5x−6 −x2+5x−a––––––––––––––– 0
Answer» For the below given division of polynomial, Find the value of a. $\begin{matrix} x - 1 x^{2} - 5 x + a x^{3} - 6 x^{2} + 11 x - 6 x^{3} - 5 x^{2} + a x - ------------- - - x^{2} + 5 x - 6 - x^{2} + 5 x - a - ------------- - 0 \end{matrix}$

14302.

For the below given division of polynomial, Find the value of a. x−1x2−5x+ax3−6x2+11x−6 x3−5x2+ax–––––––––––––––2 −x2+5x−6 −x2+5x−a––––––––––––––– 0

Answer»

For the below given division of polynomial, Find the value of a.

$\begin{matrix} x - 1 x^{2} - 5 x + a x^{3} - 6 x^{2} + 11 x - 6 x^{3} - 5 x^{2} + a x - ------------- - - x^{2} + 5 x - 6 - x^{2} + 5 x - a - ------------- - 0 \end{matrix}$

Discussion

14303.	If the numerator of a fraction is increased by 2 and its denominator is decreased by 1, it becomes 23. If the numerator is increased by 1 and the denominator is increased by 2, it becomes 13. Find the fraction.
Answer» If the numerator of a fraction is increased by 2 and its denominator is decreased by 1, it becomes $\frac{2}{3}$ . If the numerator is increased by 1 and the denominator is increased by 2, it becomes $\frac{1}{3}$ . Find the fraction.

Discussion

14304.	Question 4 In the given figure, is PQRS is a parallelogram and ABIIPS, then prove that OCIISR.
Answer» Question 4 In the given figure, is PQRS is a parallelogram and ABIIPS, then prove that OCIISR.

Discussion

14305.	Find the values of k for the following quadratic equation, so that they have two equal roots. kx (x - 2) + 6 = 0
Answer» Find the values of k for the following quadratic equation, so that they have two equal roots. kx (x - 2) + 6 = 0

Discussion

14306.	A cube is cut into x smaller cubes each of volume 8cm3. If volume of the entire cube is 512 cm3, then find the value of 'x'.
Answer» A cube is cut into x smaller cubes each of volume 8 $c m^{3}$ . If volume of the entire cube is 512 $c m^{3}$ , then find the value of 'x'.

Discussion

14307.	The angle of elevation of the top of a chimney from the foot of a tower is 60∘ and the angle of depression of the foot of the chimney from the top of the tower is 30∘. If the height of the tower is 40 metres, find the height of the chimney. According to pullution controls norms, the minimum height of a smoke emitting chimney should be 100 metres. State if the height of the above mentioned chimney meets the pollution norms. What value is discussed in this question ?
Answer» The angle of elevation of the top of a chimney from the foot of a tower is $60^{\circ}$ and the angle of depression of the foot of the chimney from the top of the tower is $30^{\circ}$ . If the height of the tower is 40 metres, find the height of the chimney. According to pullution controls norms, the minimum height of a smoke emitting chimney should be 100 metres. State if the height of the above mentioned chimney meets the pollution norms. What value is discussed in this question ?

14307.

The angle of elevation of the top of a chimney from the foot of a tower is 60∘ and the angle of depression of the foot of the chimney from the top of the tower is 30∘. If the height of the tower is 40 metres, find the height of the chimney. According to pullution controls norms, the minimum height of a smoke emitting chimney should be 100 metres. State if the height of the above mentioned chimney meets the pollution norms. What value is discussed in this question ?

Answer»

The angle of elevation of the top of a chimney from the foot of a tower is $60^{\circ}$ and the angle of depression of the foot of the chimney from the top of the tower is $30^{\circ}$ . If the height of the tower is 40 metres, find the height of the chimney.

According to pullution controls norms, the minimum height of a smoke emitting chimney should be 100 metres. State if the height of the above mentioned chimney meets the pollution norms. What value is discussed in this question ?

Discussion

14308.	The area of a circular playground is 22176 m2. Find the cost of fencing this ground at the rate of Rs. 50 per metre.
Answer» The area of a circular playground is $22176 m^{2}$ . Find the cost of fencing this ground at the rate of Rs. 50 per metre.

Discussion

14309.	If the equation ex−sinx−k=0 has atleast one real solution in (0,π2), then the sum of possible integral value(s) of k is(Use eπ2=4.8)
Answer» If the equation $e^{x} - sin x - k = 0$ has atleast one real solution in $(0, \frac{π}{2})$ , then the sum of possible integral value(s) of $k$ is (Use $e^{\frac{π}{2}} = 4.8$ )

Discussion

14310.	Question 5Find the ratio in which line segment joining points A (1, - 5) and B (- 4, 5) is divided by x-axis. Also, find coordinates of the point of division.
Answer» Question 5 Find the ratio in which line segment joining points A (1, - 5) and B (- 4, 5) is divided by x-axis. Also, find coordinates of the point of division.

Discussion

14311.	If the sum of n terms of an A.P. is Sn = 3n2 + 5n. Write its common difference.
Answer» If the sum of n terms of an A.P. is S_n = 3n² + 5n. Write its common difference.

Discussion

14312.	In ΔABC, the ratio of area of incircle to the area of ΔABC is:
Answer» In $Δ A B C$ , the ratio of area of incircle to the area of $Δ A B C$ is:

Discussion

14313.	In the given figure, O is the centre of the circle with radius 28 cm. If AB be the diameter of semicircle, then area of the shaded region is [use π=227]
Answer» In the given figure, $O$ is the centre of the circle with radius $28 cm$ . If $A B$ be the diameter of semicircle, then area of the shaded region is $[use π = \frac{22}{7}]$

Discussion

14314.	Fill In The Blanks If AB = 12 cm, BC = 16 cm, and AB is perpendicular to BC, then the radius of the circle passing through the points A,B and C is _________.
Answer» Fill In The Blanks If AB = 12 cm, BC = 16 cm, and AB is perpendicular to BC, then the radius of the circle passing through the points A,B and C is _________.

Discussion

14315.	Question 15In the figure, there is a histogram depicting daily wages of workers in a factory. Construct the frequency table.
Answer» Question 15 In the figure, there is a histogram depicting daily wages of workers in a factory. Construct the frequency table.

Discussion

14316.	How do you form a frustum?
Answer» How do you form a frustum?

Discussion

14317.	Using ruler and compasses only, draw an equilateral triangle of side 5 cm. Draw its inscribed circle. Measure the radius of the circle.
Answer» Using ruler and compasses only, draw an equilateral triangle of side 5 cm. Draw its inscribed circle. Measure the radius of the circle.

Discussion

14318.	It is given that ΔABC ~ΔPQR, with BCQR=13, then arΔPRQar∆BCA= __________.
Answer» It is given that ΔABC ~ΔPQR, with $\frac{B C}{Q R} = \frac{1}{3}, then \frac{a r (Δ P R Q)}{a r (∆ B C A)}$ = __________.

Discussion

14319.	Q.10The sum of square of zeroes of the cubic polynomialx3 + ax2 + bx + c is a + b^2a^2 – 2b–b + a^2 c – ab
Answer» Q.10 The sum of square of zeroes of the cubic polynomial x3 + ax2 + bx + c is a + b^2 a^2 – 2b –b + a^2 c – ab

Discussion

14320.	A die thrown once. What is the probability of getting a number lying between 2 and 6?
Answer» A die thrown once. What is the probability of getting a number lying between 2 and 6?

Discussion

14321.	A box contains 3 black balls, 4 red balls and 3 green balls. All the balls are identical in shape and size. Rohit takes out a ball from the bag without looking into it. What is the probability that the ball drawn is a black or green ball?
Answer» A box contains 3 black balls, 4 red balls and 3 green balls. All the balls are identical in shape and size. Rohit takes out a ball from the bag without looking into it. What is the probability that the ball drawn is a black or green ball?

Discussion

14322.	The product of Tanvy's age (in years) 5 years ago and her age 8 years later is 30. Find her present age.
Answer» The product of Tanvy's age (in years) 5 years ago and her age 8 years later is 30. Find her present age.

Discussion

14323.	If point C lies on the line y-x=0 & is 5 units away from origin, what are its co-ordinates .
Answer» If point C lies on the line y-x=0 & is 5 units away from origin, what are its co-ordinates .

Discussion

14324.	Cost of sweets pet kg is ₹210and₹280 .There is a 10%cash back for the buyers on purchase of above two sweets two sweets 1kg each For those who pay the amount in least number currency with a less face value ? So what denomination currency do you use to get after offer
Answer» Cost of sweets pet kg is ₹210and₹280 .There is a 10%cash back for the buyers on purchase of above two sweets two sweets 1kg each For those who pay the amount in least number currency with a less face value ? So what denomination currency do you use to get after offer

Discussion

14325.	Given that one of the zero of cubic polynomial ax³+bx²+cx+d is zero, the sum of the reciprocal of other two zeros is
Answer» Given that one of the zero of cubic polynomial ax³+bx²+cx+d is zero, the sum of the reciprocal of other two zeros is

Discussion

14326.	Find the values of x for which the distance between the point P(2,−3) and Q(x,5) is 10.
Answer» Find the values of $x$ for which the distance between the point $P (2, - 3)$ and $Q (x, 5)$ is $10.$

Discussion

14327.	30. Let a,b,c and k be real numbers and p(x) be the polynomial (x-a) (x-b) (x-c) + x. If p(k)=k ,then the sum of all possible values of k is what?
Answer» 30. Let a,b,c and k be real numbers and p(x) be the polynomial (x-a) (x-b) (x-c) + x. If p(k)=k ,then the sum of all possible values of k is what?

Discussion

14328.	Gagan invested 80% of his savings in 10% Rs 100 shares at 20% premium and the rest of his savings in 20% Rs 50 shares at 20% discount. If his incomes from these shares is Rs 5,600, calculate : (i) his investment in shares on the whole. (ii) the number of shares of first kind that he bought. (iii) percentage return, on the shares bought, on the whole.
Answer» Gagan invested 80% of his savings in 10% Rs 100 shares at 20% premium and the rest of his savings in 20% Rs 50 shares at 20% discount. If his incomes from these shares is Rs 5,600, calculate : (i) his investment in shares on the whole. (ii) the number of shares of first kind that he bought. (iii) percentage return, on the shares bought, on the whole.

14328.

Gagan invested 80% of his savings in 10% Rs 100 shares at 20% premium and the rest of his savings in 20% Rs 50 shares at 20% discount. If his incomes from these shares is Rs 5,600, calculate : (i) his investment in shares on the whole. (ii) the number of shares of first kind that he bought. (iii) percentage return, on the shares bought, on the whole.

Answer»

Gagan invested 80% of his savings in 10% Rs 100 shares at 20% premium and the rest of his savings in 20% Rs 50 shares at 20% discount. If his incomes from these shares is Rs 5,600, calculate :

(i) his investment in shares on the whole.

(ii) the number of shares of first kind that he bought.

(iii) percentage return, on the shares bought, on the whole.

Discussion

14329.	Use the following information to answer the next question. The given figure shows ΔABC and ΔPQR with AB = QR. What is the value of (AB + 5BC + 3AC − 2RP − 3PQ − QR)?
Answer» Use the following information to answer the next question. The given figure shows ΔABC and ΔPQR with AB = QR. What is the value of (AB + 5BC + 3AC − 2RP − 3PQ − QR)?

14329.

Use the following information to answer the next question. The given figure shows ΔABC and ΔPQR with AB = QR. What is the value of (AB + 5BC + 3AC − 2RP − 3PQ − QR)?

Answer»

Use the following information to answer the next question.

The given figure shows ΔABC and ΔPQR with AB = QR.

What is the value of (AB + 5BC + 3AC − 2RP − 3PQ − QR)?

Discussion

14330.	Triangle ABD ~triangle CAD then prove that ad2=bd*cd
Answer» Triangle ABD ~triangle CAD then prove that ad2=bd*cd

Discussion

14331.	Solve the given inequality and show the graph of the solution on number line:
Answer» Solve the given inequality and show the graph of the solution on number line:

Discussion

14332.	TP and TQ are two †an gent to a parabola and the †an gent at third point R cuts them in p' and Q'.prove that TP'/TP+TQ'/TQ=
Answer» TP and TQ are two †an gent to a parabola and the †an gent at third point R cuts them in p' and Q'.prove that TP'/TP+TQ'/TQ=

Discussion

14333.	If f(x)=∣∣∣∣∣cos(x+α)cos(x+β)cos(x+γ)sin(x+α)sin(x+β)sin(x+γ)sin(β−γ)sin(γ−α)sin(α−β)∣∣∣∣∣ where α,β,γ∈R and f(0)=−2, then 30∑r=1\|f(r)\| equals
Answer» If $f (x) = ∣ ∣∣∣ ∣ \begin{matrix} cos (x + α) & cos (x + β) & cos (x + γ) sin (x + α) & sin (x + β) & sin (x + γ) sin (β - γ) & sin (γ - α) & sin (α - β) \end{matrix} ∣ ∣∣∣ ∣$ where $α, β, γ \in R$ and $f (0) = - 2,$ then $30 \sum r = 1 \| f (r) \|$ equals

Discussion

14334.	Pass necessary Journal entries for the following transactions on the dissolution of the firm P and Q after the various assets (other than cash) and outside liabilities have been transferred to Realisation Account:(a) Bank Loan ₹ 12,000 was paid.(b) Stock worth ₹ 16,000 was taken over by partner Q.(c) Partner P paid a creditor ₹ 4,000.(d) An asset not appearing in the books of accounts realised ₹ 1,200.(e) Expenses of realisation ₹ 2,000 were paid by partner Q.(f) Profit on realisation ₹ 36,000 was distributed between P and Q in 5 : 4 ratio.
Answer» Pass necessary Journal entries for the following transactions on the dissolution of the firm P and Q after the various assets (other than cash) and outside liabilities have been transferred to Realisation Account: (a) Bank Loan ₹ 12,000 was paid. (b) Stock worth ₹ 16,000 was taken over by partner Q. (c) Partner P paid a creditor ₹ 4,000. (d) An asset not appearing in the books of accounts realised ₹ 1,200. (e) Expenses of realisation ₹ 2,000 were paid by partner Q. (f) Profit on realisation ₹ 36,000 was distributed between P and Q in 5 : 4 ratio.

Discussion

14335.	In ∆ABC, ∠ABC = 135°. Prove that AC2 = AB2 + BC2 + 4 ar (∆ABC)
Answer» In ∆ABC, ∠ABC = 135°. Prove that AC² = AB² + BC² + 4 ar (∆ABC)

Discussion

14336.	The following data represents the marks scored by Mathew in different subjects.What will be the outlier and its mode without outlier?
Answer» The following data represents the marks scored by Mathew in different subjects. What will be the outlier and its mode without outlier?

Discussion

14337.	An observed from the top of a 150 m tall light house, the angles of depression of two ships approaching it are 30° and 45°. If one ship is directly behind the other, find the distance between the two ships.
Answer» An observed from the top of a 150 m tall light house, the angles of depression of two ships approaching it are 30° and 45°. If one ship is directly behind the other, find the distance between the two ships.

Discussion

14338.	Construct a line segment of length 10cm. From one end, draw a circle of radius 4cm and draw a circle of radius 5cm from the other end. Now, draw tangents to both circles from the centre of the other circle.
Answer» Construct a line segment of length 10cm. From one end, draw a circle of radius 4cm and draw a circle of radius 5cm from the other end. Now, draw tangents to both circles from the centre of the other circle.

Discussion

14339.	The given figure shows a solid formed using a solid cube of side 40 cm and a solid cylinder of radius 20cm and height 50 cm attached to the cube as shown. What is the total surface area of the whole solid [Take π=3.14] (Answer to the nearest integer)
Answer» The given figure shows a solid formed using a solid cube of side 40 cm and a solid cylinder of radius 20cm and height 50 cm attached to the cube as shown. What is the total surface area of the whole solid [Take $π = 3.14$ ] (Answer to the nearest integer)

14339.

The given figure shows a solid formed using a solid cube of side 40 cm and a solid cylinder of radius 20cm and height 50 cm attached to the cube as shown. What is the total surface area of the whole solid [Take π=3.14] (Answer to the nearest integer)

Answer»

The given figure shows a solid formed using a solid cube of side 40 cm and a solid cylinder of radius 20cm and height 50 cm attached to the cube as shown.

What is the total surface area of the whole solid [Take $π = 3.14$ ] (Answer to the nearest integer)

Discussion

14340.	Mark the correct alternative in each of the following:A box contains 90 discs, numbered from 1 to 90. If one disc is drawn at random from the box, the probability that it bears a prime number less than 23, is(a) 790 (b) 1090 (c) 445 (d) 989 [CBSE 2013]
Answer» Mark the correct alternative in each of the following: A box contains 90 discs, numbered from 1 to 90. If one disc is drawn at random from the box, the probability that it bears a prime number less than 23, is (a) $\frac{7}{90}$ (b) $\frac{10}{90}$ (c) $\frac{4}{45}$ (d) $\frac{9}{89}$ [CBSE 2013]

Discussion

14341.	If the coordinates of one end of a diameter of a circle are (2, 3) and the coordinates of its centre are (-2, 5), then the coordinates of the other end of the diameter are :
Answer» If the coordinates of one end of a diameter of a circle are (2, 3) and the coordinates of its centre are (-2, 5), then the coordinates of the other end of the diameter are :

Discussion

14342.	Find the sum of all positive rational numbers `n` such that \sqrt{n^2+ 84n +1941} is an integer.
Answer» Find the sum of all positive rational numbers `n` such that \sqrt{n^2+ 84n +1941} is an integer.

Discussion

14343.	First team is a and the tenth team is b. What's the 2th team
Answer» First team is a and the ten^th team is b. What's the 2^th team

Discussion

14344.	On comparing the ratios and , find out whether the following points of linear equations are consistent or inconsistent. (i) 3x + 2y = 5, 2x – 3y = 7 (ii) 2x – 3y = 8, 4x – 6y = 9
Answer» On comparing the ratios and , find out whether the following points of linear equations are consistent or inconsistent. (i) 3x + 2y = 5, 2x – 3y = 7 (ii) 2x – 3y = 8, 4x – 6y = 9

Discussion

14345.	If one of the zeros of f(x)=x3+13x2+32x+20 is −2 then all its zeros are A. 2,13,11B. −10,−1,−2C. 4,−2,−10D. −2,5,10
Answer» If one of the zeros of $f (x) = x^{3} + 13 x^{2} + 32 x + 20$ is $- 2$ then all its zeros are A. $2, 13, 11$ B. $- 10, - 1, - 2$ C. $4, - 2, - 10$ D. $- 2, 5, 10$

14345.

If one of the zeros of f(x)=x3+13x2+32x+20 is −2 then all its zeros are A. 2,13,11B. −10,−1,−2C. 4,−2,−10D. −2,5,10

Answer»

If one of the zeros of $f (x) = x^{3} + 13 x^{2} + 32 x + 20$ is $- 2$ then all its zeros are

A. $2, 13, 11$

B. $- 10, - 1, - 2$

C. $4, - 2, - 10$

D. $- 2, 5, 10$

Discussion

14346.	For finding AB and BC with the help of information given in the figure, complete following activity.AB = BC .......... ∴∠BAC= ∴AB=BC= ×AC = ×8 = ×22 =
Answer» For finding AB and BC with the help of information given in the figure, complete following activity. AB = BC .......... $∴ ∠ BAC = ∴ AB = BC = \times AC = \times \sqrt{8} = \times 2 \sqrt{2} =$

Discussion

14347.	Formula to find area of triangle is:
Answer» Formula to find area of triangle is:

Discussion

14348.	Find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coeffients :5y2+10y
Answer» Find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coeffients : $5 y^{2} + 10 y$

14348.

Find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coeffients :5y2+10y

Answer»

Find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coeffients :

$5 y^{2} + 10 y$

Discussion

14349.	y=11+xn−m+xp−m+11+xm−n+xp−n+11+xm−p+xn−p, then dydx is equal to
Answer» $y = \frac{1}{1 + x^{n - m} + x^{p - m}} + \frac{1}{1 + x^{m - n} + x^{p - n}} + \frac{1}{1 + x^{m - p} + x^{n - p}},$ then $\frac{d y}{d x}$ is equal to

Discussion

14350.	A bag contains 4 black, 2 white and 6 red balls. Another bag contains 3 black and 5 white balls. An unbiased die is thrown. If either 1 or 2 appears, a ball is chosen from the first bag, otherwise a ball from the second bag is chosen. If the drawn ball is black then the probability that 2 appeared on the die is
Answer» A bag contains 4 black, 2 white and 6 red balls. Another bag contains 3 black and 5 white balls. An unbiased die is thrown. If either 1 or 2 appears, a ball is chosen from the first bag, otherwise a ball from the second bag is chosen. If the drawn ball is black then the probability that 2 appeared on the die is

Discussion

Explore topic-wise InterviewSolutions in .

The water image of given figure ‘X’ isदिये गए चित्र ‘X’ का जल प्रतिबिंब है

For the below given division of polynomial, Find the value of a. x−1x2−5x+ax3−6x2+11x−6 x3−5x2+ax–––––––––––––––2 −x2+5x−6 −x2+5x−a––––––––––––––– 0

If the numerator of a fraction is increased by 2 and its denominator is decreased by 1, it becomes 23. If the numerator is increased by 1 and the denominator is increased by 2, it becomes 13. Find the fraction.

Question 4 In the given figure, is PQRS is a parallelogram and ABIIPS, then prove that OCIISR.

Find the values of k for the following quadratic equation, so that they have two equal roots. kx (x - 2) + 6 = 0

A cube is cut into x smaller cubes each of volume 8cm3. If volume of the entire cube is 512 cm3, then find the value of 'x'.

The area of a circular playground is 22176 m2. Find the cost of fencing this ground at the rate of Rs. 50 per metre.

If the equation ex−sinx−k=0 has atleast one real solution in (0,π2), then the sum of possible integral value(s) of k is(Use eπ2=4.8)

Question 5Find the ratio in which line segment joining points A (1, - 5) and B (- 4, 5) is divided by x-axis. Also, find coordinates of the point of division.

If the sum of n terms of an A.P. is Sn = 3n2 + 5n. Write its common difference.

In ΔABC, the ratio of area of incircle to the area of ΔABC is:

In the given figure, O is the centre of the circle with radius 28 cm. If AB be the diameter of semicircle, then area of the shaded region is [use π=227]

Fill In The Blanks If AB = 12 cm, BC = 16 cm, and AB is perpendicular to BC, then the radius of the circle passing through the points A,B and C is _________.

Question 15In the figure, there is a histogram depicting daily wages of workers in a factory. Construct the frequency table.

How do you form a frustum?

Using ruler and compasses only, draw an equilateral triangle of side 5 cm. Draw its inscribed circle. Measure the radius of the circle.

It is given that ΔABC ~ΔPQR, with BCQR=13, then arΔPRQar∆BCA= __________.

Q.10The sum of square of zeroes of the cubic polynomialx3 + ax2 + bx + c is a + b^2a^2 – 2b–b + a^2 c – ab

A die thrown once. What is the probability of getting a number lying between 2 and 6?

A box contains 3 black balls, 4 red balls and 3 green balls. All the balls are identical in shape and size. Rohit takes out a ball from the bag without looking into it. What is the probability that the ball drawn is a black or green ball?

The product of Tanvy's age (in years) 5 years ago and her age 8 years later is 30. Find her present age.

If point C lies on the line y-x=0 &amp; is 5 units away from origin, what are its co-ordinates .

Cost of sweets pet kg is ₹210and₹280 .There is a 10%cash back for the buyers on purchase of above two sweets two sweets 1kg each For those who pay the amount in least number currency with a less face value ? So what denomination currency do you use to get after offer

Given that one of the zero of cubic polynomial ax³+bx²+cx+d is zero, the sum of the reciprocal of other two zeros is

Find the values of x for which the distance between the point P(2,−3) and Q(x,5) is 10.

30. Let a,b,c and k be real numbers and p(x) be the polynomial (x-a) (x-b) (x-c) + x. If p(k)=k ,then the sum of all possible values of k is what?

Use the following information to answer the next question. The given figure shows ΔABC and ΔPQR with AB = QR. What is the value of (AB + 5BC + 3AC − 2RP − 3PQ − QR)?

Triangle ABD ~triangle CAD then prove that ad2=bd*cd

Solve the given inequality and show the graph of the solution on number line:

TP and TQ are two †an gent to a parabola and the †an gent at third point R cuts them in p' and Q'.prove that TP'/TP+TQ'/TQ=

If f(x)=∣∣∣∣∣cos(x+α)cos(x+β)cos(x+γ)sin(x+α)sin(x+β)sin(x+γ)sin(β−γ)sin(γ−α)sin(α−β)∣∣∣∣∣ where α,β,γ∈R and f(0)=−2, then 30∑r=1|f(r)| equals

In ∆ABC, ∠ABC = 135°. Prove that AC2 = AB2 + BC2 + 4 ar (∆ABC)

The following data represents the marks scored by Mathew in different subjects.What will be the outlier and its mode without outlier?

An observed from the top of a 150 m tall light house, the angles of depression of two ships approaching it are 30° and 45°. If one ship is directly behind the other, find the distance between the two ships.

Construct a line segment of length 10cm. From one end, draw a circle of radius 4cm and draw a circle of radius 5cm from the other end. Now, draw tangents to both circles from the centre of the other circle.

The given figure shows a solid formed using a solid cube of side 40 cm and a solid cylinder of radius 20cm and height 50 cm attached to the cube as shown. What is the total surface area of the whole solid [Take π=3.14] (Answer to the nearest integer)

Mark the correct alternative in each of the following:A box contains 90 discs, numbered from 1 to 90. If one disc is drawn at random from the box, the probability that it bears a prime number less than 23, is(a) 790 (b) 1090 (c) 445 (d) 989 [CBSE 2013]

If the coordinates of one end of a diameter of a circle are (2, 3) and the coordinates of its centre are (-2, 5), then the coordinates of the other end of the diameter are :

Find the sum of all positive rational numbers `n` such that \sqrt{n^2+ 84n +1941} is an integer.

First team is a and the tenth team is b. What's the 2th team

On comparing the ratios and , find out whether the following points of linear equations are consistent or inconsistent. (i) 3x + 2y = 5, 2x – 3y = 7 (ii) 2x – 3y = 8, 4x – 6y = 9

If one of the zeros of f(x)=x3+13x2+32x+20 is −2 then all its zeros are A. 2,13,11B. −10,−1,−2C. 4,−2,−10D. −2,5,10

For finding AB and BC with the help of information given in the figure, complete following activity.AB = BC .......... ∴∠BAC= ∴AB=BC= ×AC = ×8 = ×22 =

Formula to find area of triangle is:

Find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coeffients :5y2+10y

y=11+xn−m+xp−m+11+xm−n+xp−n+11+xm−p+xn−p, then dydx is equal to

If point C lies on the line y-x=0 & is 5 units away from origin, what are its co-ordinates .