32581 + Interview Questions in Mathematics Page 167 InterviewSolution

8301.	In the above figure O is the center of the circle ∠AOB =80∘, ,then complete the matching. AngleValue1. ACB a. 902. ADBb. 403. ABCc. 804. AOCd. 180
Answer» In the above figure O is the center of the circle $∠$ AOB $= 80^{\circ},$ ^,then complete the matching. $\begin{matrix} Angle & Value 1. A C B & a . 90 2. A D B & b . 40 3. A B C & c . 80 4. A O C & d . 180 \end{matrix}$

8301.

In the above figure O is the center of the circle ∠AOB =80∘, ,then complete the matching. AngleValue1. ACB a. 902. ADBb. 403. ABCc. 804. AOCd. 180

Answer»

In the above figure O is the center of the circle $∠$ AOB $= 80^{\circ},$ ^,then complete the matching.

$\begin{matrix} Angle & Value 1. A C B & a . 90 2. A D B & b . 40 3. A B C & c . 80 4. A O C & d . 180 \end{matrix}$

8302.	Given Arithmetic Progression 12, 16, 20, 24, . . . Find the 24th term of this progression.
Answer» Given Arithmetic Progression 12, 16, 20, 24, . . . Find the 24^th term of this progression.

Discussion

8303.	Question 31(i) An integer is chosen between 0 and 100. What is the probability that it is divisible by 7?
Answer» Question 31(i) An integer is chosen between 0 and 100. What is the probability that it is divisible by 7?

Discussion

8304.	In the given figure, DE \|\| BC(i) If DE = 4 cm, BC = 6 cm and Area (∆ADE) = 16 cm2, find the area of ∆ABC.(ii) If DE = 4 cm, BC = 8 cm and Area (∆ADE) = 25 cm2, find the area of ∆ABC.(iii) If DE : BC = 3 : 5. Calculate the ratio of the areas of ∆ADE and the trapezium BCED.
Answer» In the given figure, DE \|\| BC (i) If DE = 4 cm, BC = 6 cm and Area (∆ADE) = 16 cm², find the area of ∆ABC. (ii) If DE = 4 cm, BC = 8 cm and Area (∆ADE) = 25 cm², find the area of ∆ABC. (iii) If DE : BC = 3 : 5. Calculate the ratio of the areas of ∆ADE and the trapezium BCED.

Discussion

8305.	The shadow of a tower standing on a level ground is found to be 60 m longer when the Sun’s altitude is 30∘ than when it is 60∘. Find the height of the tower.
Answer» The shadow of a tower standing on a level ground is found to be 60 m longer when the Sun’s altitude is $30^{\circ}$ than when it is $60^{\circ}$ . Find the height of the tower.

Discussion

8306.	24. If alpha and beta are the zeroes of the quadratic polynomial f(t)=t(square)_(minus)5t+3 then the value of alpha (power4)beta (power3)+alpha (power3)beta (power4)
Answer» 24. If alpha and beta are the zeroes of the quadratic polynomial f(t)=t(square)_(minus)5t+3 then the value of alpha (power4)beta (power3)+alpha (power3)beta (power4)

Discussion

8307.

Sanjiv Sondhi started business on 1st April, 2017 with a capital of ₹ 3,00,000. Following Trial Balance was drawn up from his books at t he end of the year: Heads of Accounts ₹ Heads of Accounts ₹ Drawings 45,000 Capital 4,00,000 Plant and Fixtures 80,000 Sales 16,00,000 Purchases 11,60,000 Sundry Creditors 1,20,000 Carriage Inwards 20,000 Bills Payable 90,000 Returns Inward 40,000 Wages 80,000 Salaries 1,00,000 Printing and Stationery 8,000 Advertisement 12,000 Trade Charges 6,000 Rent and Taxes 14,000 Sundry Debtors 2,50,000 Bills Receivable 50,000 Investments 1,50,000 Discount 5,000 Cash at Bank 1,60,000 Cash in Hand 30,000 22,10,000 22,10,000 Value of Stock as on 31st March, 2018 was ₹ 2,60,000. You are required to prepare his Trading and Profit and Loss Account for the year ended 31st March 2018 and Balance Sheet as at that date after taking the following facts into account:(a) Plant and Fixtures are to be depreciated by 10%.(b) Salaries outstanding on 31st March, 2018 amounted to ₹ 35,000.(c) Accrued Interest on investment amounted to ₹ 7,500.(d) ₹ 5,000 are Bad Debts and a Provision for Doubtful Debts is to be created at 5% of the balance of debtors.

Answer» Sanjiv Sondhi started business on 1^st April, 2017 with a capital of ₹ 3,00,000. Following Trial Balance was drawn up from his books at t he end of the year:

Heads of Accounts	₹	Heads of Accounts	₹
Drawings	45,000	Capital	4,00,000
Plant and Fixtures	80,000	Sales	16,00,000
Purchases	11,60,000	Sundry Creditors	1,20,000
Carriage Inwards	20,000	Bills Payable	90,000
Returns Inward	40,000
Wages	80,000
Salaries	1,00,000
Printing and Stationery	8,000
Advertisement	12,000
Trade Charges	6,000
Rent and Taxes	14,000
Sundry Debtors	2,50,000
Bills Receivable	50,000
Investments	1,50,000
Discount	5,000
Cash at Bank	1,60,000
Cash in Hand	30,000
	22,10,000		22,10,000

Value of Stock as on 31st March, 2018 was ₹ 2,60,000. You are required to prepare his Trading and Profit and Loss Account for the year ended 31^st March 2018 and Balance Sheet as at that date after taking the following facts into account:

(a) Plant and Fixtures are to be depreciated by 10%.

(b) Salaries outstanding on 31^st March, 2018 amounted to ₹ 35,000.

(c) Accrued Interest on investment amounted to ₹ 7,500.

(d) ₹ 5,000 are Bad Debts and a Provision for Doubtful Debts is to be created at 5% of the balance of debtors.

Discussion

8308.	Please help me solving the sum!! How many terms of G.P 3 , 3/2 , 3/4... must be taken to give the sum 3069/5122 ???
Answer» Please help me solving the sum!! How many terms of G.P 3 , 3/2 , 3/4... must be taken to give the sum 3069/5122 ???

8308.

Please help me solving the sum!! How many terms of G.P 3 , 3/2 , 3/4... must be taken to give the sum 3069/5122 ???

Answer»

Please help me solving the sum!!

How many terms of G.P 3 , 3/2 , 3/4... must be taken to give the sum 3069/5122 ???

Discussion

8309.	Two straight paths are represented by the equations x−3y=2 and −2x+6y=5. Check whether the paths cross each other or not.
Answer» Two straight paths are represented by the equations $x - 3 y = 2$ and $- 2 x + 6 y = 5.$ Check whether the paths cross each other or not.

Discussion

8310.	Sec50^°× Sin20^°+Cos20× Cosec7
Answer» Sec50^°× Sin20^°+Cos20× Cosec7

Discussion

8311.	A two digit number is obtained by multiplying the sum of the digits by 8. Also, it is obtained by multiplying the difference of the digits by 14 and adding 2. Find the number.
Answer» A two digit number is obtained by multiplying the sum of the digits by 8. Also, it is obtained by multiplying the difference of the digits by 14 and adding 2. Find the number.

Discussion

8312.	A man ‘X’ fires a gun. Another man ‘Y’ standing between ‘X’ & a ship hears the sound twice 1st after 2s & another 5s after the 1st sound. If ‘X’ & ‘Y’ are 660m apart then calculate i) velocity of sound in air ii) distance between man ‘X’ & the ship.
Answer» A man ‘X’ fires a gun. Another man ‘Y’ standing between ‘X’ & a ship hears the sound twice 1^st after 2s & another 5s after the 1^st sound. If ‘X’ & ‘Y’ are 660m apart then calculate i) velocity of sound in air ii) distance between man ‘X’ & the ship.

Discussion

8313.	30. A helicopter takes off from a point 80m away from an observer located on the ground, and rises vertically at 4m/s. At what rate is elevation angle of the observer's line of sight to the helicopter changing when the helicopter is 60m above the ground?
Answer» 30. A helicopter takes off from a point 80m away from an observer located on the ground, and rises vertically at 4m/s. At what rate is elevation angle of the observer's line of sight to the helicopter changing when the helicopter is 60m above the ground?

Discussion

8314.	In the given figure, PR > PQ and PS bisects ∠QPR. Prove that ∠PSR > ∠PSQ.
Answer» In the given figure, PR > PQ and PS bisects $∠$ QPR. Prove that $∠$ PSR > $∠$ PSQ .

Discussion

8315.	Find the value of k for which each of the following system of linear equations has an infinite number of solutions:k-3x+3y=k, kx+ky=12.
Answer» Find the value of k for which each of the following system of linear equations has an infinite number of solutions: $(k - 3) x + 3 y = k, k x + k y = 12 .$

Discussion

8316.	Which of the following is not the graph of a quadratic polynomial ?figure figure figure figure
Answer» Which of the following is not the graph of a quadratic polynomial ? figure figure figure figure

Discussion

8317.	Find the roots of each of the following equations, if they exist, by applying the quadratic formula:2x2+ax-a2=0 [CBSE 2015]
Answer» Find the roots of each of the following equations, if they exist, by applying the quadratic formula: $2 x^{2} + a x - a^{2} = 0$ [CBSE 2015]

Discussion

8318.	A room 4.9 m long and 3.5 m broad is covered with carpet, leaving an uncovered margin of 25 cm all around the room. If the breadth of the carpet is 80 cm, find its cost at Rs 80 per meter.
Answer» A room 4.9 m long and 3.5 m broad is covered with carpet, leaving an uncovered margin of 25 cm all around the room. If the breadth of the carpet is 80 cm, find its cost at Rs 80 per meter.

Discussion

8319.	FIND THE ROOTS OF THE FOLLOWING QUADRATUC EQUATION BY FACTORISATION (i) 2x^2-x+1/8=0 (ii) \sqrt{2x^{ 2 }}+ 7x +\sqrt[5]2=
Answer» FIND THE ROOTS OF THE FOLLOWING QUADRATUC EQUATION BY FACTORISATION (i) 2x^2-x+1/8=0 (ii) \sqrt{2x^{ 2 }}+ 7x +\sqrt[5]2=

Discussion

8320.	What is sin θ in the given right triangle, right angled at B?
Answer» What is sin $θ$ in the given right triangle, right angled at B?

8320.

What is sin θ in the given right triangle, right angled at B?

Answer»

What is sin $θ$ in the given right triangle, right angled at B?

Discussion

8321.	Let O(0,0) and A(0,1) be two fixed points. Then the locus of a point P such that the perimeter of △AOP is 4, is:
Answer» Let $O (0, 0)$ and $A (0, 1)$ be two fixed points. Then the locus of a point $P$ such that the perimeter of $△ A O P$ is $4$ , is:

Discussion

8322.	Let A = {1, 2, 3, 4, 5} The domain of the relation on A defined by R ={(x,y): y = 2x-1},is__________________.
Answer» Let A = {1, 2, 3, 4, 5} The domain of the relation on A defined by R ={(x,y): y = 2x-1},is__________________.

Discussion

8323.	In figure, ABC is a triangle .DE is parallel to BC and ADDB=43Determine the ratios ADAB,DEBC
Answer» $I n f i g u r e, A B C i s a t r i a n g l e . D E i s p a r a l l e l t o B C a n d \frac{A D}{D B} = \frac{4}{3} D e t e r m i n e t h e r a t i o s \frac{A D}{A B}, \frac{D E}{B C}$

8323.

In figure, ABC is a triangle .DE is parallel to BC and ADDB=43Determine the ratios ADAB,DEBC

Answer»

$I n f i g u r e, A B C i s a t r i a n g l e . D E i s p a r a l l e l t o B C a n d \frac{A D}{D B} = \frac{4}{3} D e t e r m i n e t h e r a t i o s \frac{A D}{A B}, \frac{D E}{B C}$

Discussion

8324.	Question 2A right triangle, whose sides are 3 cm and 4 cm (other than hypotenuse) is made to revolve about its hypotenuse. Find the volume and surface area of the double cone so formed.
Answer» Question 2 A right triangle, whose sides are 3 cm and 4 cm (other than hypotenuse) is made to revolve about its hypotenuse. Find the volume and surface area of the double cone so formed.

Discussion

8325.	The sum of first q terms of an AP is (63q − 3q2). If its pth term is −60, find the value of p. Also, find the 11th term of its AP. [CBSE 2013]
Answer» The sum of first q terms of an AP is (63q − 3q²). If its pth term is −60, find the value of p. Also, find the 11th term of its AP. [CBSE 2013]

Discussion

8326.	If y=4/sin theta + cos theta then minimum valuebof y is
Answer» If y=4/sin theta + cos theta then minimum valuebof y is

Discussion

8327.	Let f:[−2,3]→R and g:[0,5]→R be such that f(x)=x3−x, g(x)=x3−2x2. Then the domain of f(x)g(x) is
Answer» Let $f : [- 2, 3] \to R$ and $g : [0, 5] \to R$ be such that $f (x) = x^{3} - x, g (x) = x^{3} - 2 x^{2} .$ Then the domain of $\frac{f (x)}{g (x)}$ is

Discussion

8328.	Find the area of the shaded portion:
Answer» Find the area of the shaded portion:

Discussion

8329.	Find the correct graphical solution of given inequalities. −2(23)≤x+(13)<3+(13),x ϵ R
Answer» Find the correct graphical solution of given inequalities. $- 2 (\frac{2}{3}) \leq x + (\frac{1}{3}) < 3 + (\frac{1}{3}), x ϵ R$

8329.

Find the correct graphical solution of given inequalities. −2(23)≤x+(13)<3+(13),x ϵ R

Answer»

Find the correct graphical solution of given inequalities.

$- 2 (\frac{2}{3}) \leq x + (\frac{1}{3}) < 3 + (\frac{1}{3}), x ϵ R$

Discussion

8330.	In the adjacent figure O is the centre of the bigger circle and AC is its diameter. Another circle with AB as diameter is drawn. If AC = 54 cm and BC = 10 cm find the area of the shaded region in cm2.__
Answer» In the adjacent figure O is the centre of the bigger circle and AC is its diameter. Another circle with AB as diameter is drawn. If AC = 54 cm and BC = 10 cm find the area of the shaded region in $c m^{2}$ . __

8330.

In the adjacent figure O is the centre of the bigger circle and AC is its diameter. Another circle with AB as diameter is drawn. If AC = 54 cm and BC = 10 cm find the area of the shaded region in cm2.__

Answer»

In the adjacent figure O is the centre of the bigger circle and AC is its diameter. Another circle with AB as diameter is drawn. If AC = 54 cm and BC = 10 cm find the area of the shaded region in $c m^{2}$ .

__

Discussion

8331.	D and E are points on the sides AB and AC respectively of a ΔABC such that DE \|\| BC Find the value of x, when (i) AD = x cm, DB = (x - 2) cm, AE = (x + 2) cm and EC = (x - 1) cm. (ii) AD = 4 cm, DB = (x - 4) cm, AE = 8 cm and EC = (3x - 19) cm. (iii) AD = (7x - 4) cm, AE = (5x - 2) cm, DB = (3x + 4 ) cm and EC = 3x cm.
Answer» D and E are points on the sides AB and AC respectively of a $Δ A B C$ such that DE \|\| BC Find the value of x, when (i) AD = x cm, DB = (x - 2) cm, AE = (x + 2) cm and EC = (x - 1) cm. (ii) AD = 4 cm, DB = (x - 4) cm, AE = 8 cm and EC = (3x - 19) cm. (iii) AD = (7x - 4) cm, AE = (5x - 2) cm, DB = (3x + 4 ) cm and EC = 3x cm.

8331.

D and E are points on the sides AB and AC respectively of a ΔABC such that DE || BC Find the value of x, when (i) AD = x cm, DB = (x - 2) cm, AE = (x + 2) cm and EC = (x - 1) cm. (ii) AD = 4 cm, DB = (x - 4) cm, AE = 8 cm and EC = (3x - 19) cm. (iii) AD = (7x - 4) cm, AE = (5x - 2) cm, DB = (3x + 4 ) cm and EC = 3x cm.

Answer»

D and E are points on the sides AB and AC respectively of a $Δ A B C$ such that DE || BC
Find the value of x, when

(i) AD = x cm, DB = (x - 2) cm,

AE = (x + 2) cm and EC = (x - 1) cm.

(ii) AD = 4 cm, DB = (x - 4) cm, AE = 8 cm and EC = (3x - 19) cm.

(iii) AD = (7x - 4) cm, AE = (5x - 2) cm, DB = (3x + 4 ) cm and EC = 3x cm.

Discussion

8332.	Find the smallest number which when divided by 8, 9, 10, 15, 20 gives a remainder of 5 every time.
Answer» Find the smallest number which when divided by 8, 9, 10, 15, 20 gives a remainder of 5 every time.

Discussion

8333.	In the given figure, point P is 26 cm away from the centre O of a circle and the length PT of the tangent drawn from P to the circle is 24 cm. Then the radius of the circle is [CBSE 2011, 12](a) 10 cm(b) 12 cm(c) 13 cm(d) 15 cm
Answer» In the given figure, point P is 26 cm away from the centre O of a circle and the length PT of the tangent drawn from P to the circle is 24 cm. Then the radius of the circle is [CBSE 2011, 12] (a) 10 cm (b) 12 cm (c) 13 cm (d) 15 cm

Discussion

8334.	In the given figure, a circle touches the side DF of ΔEDF at H and touches ED and EF produced at K and M respectively. If EK = 9 cm, then the perimeter of ΔEDF is(a) 18 cm (b) 13.5 cm (c) 12 cm (d) 9 cm [CBSE 2012]
Answer» In the given figure, a circle touches the side DF of ΔEDF at H and touches ED and EF produced at K and M respectively. If EK = 9 cm, then the perimeter of ΔEDF is (a) 18 cm (b) 13.5 cm (c) 12 cm (d) 9 cm [CBSE 2012]

Discussion

8335.	Which similarity is used to prove that the constructed triangles are similar?
Answer» Which similarity is used to prove that the constructed triangles are similar?

Discussion

8336.	If one of the zeros of f(x) = x³ + 13x² + 32x + 20 is -2 then all its zeros are
Answer» If one of the zeros of f(x) = x³ + 13x² + 32x + 20 is -2 then all its zeros are

Discussion

8337.	Question 2 (ii) Find the sums given below (ii) 34 + 32 + 30 + ……….. + 10
Answer» Question 2 (ii) Find the sums given below (ii) 34 + 32 + 30 + ……….. + 10

Discussion

8338.	ABCD is a parallelogram where A (3, –3); B (5, 8); C (4, 7) & D(, y). Find the coordinates of D & equation of diagonal BD.
Answer» ABCD is a parallelogram where A (3, –3); B (5, 8); C (4, 7) & D(, y). Find the coordinates of D & equation of diagonal BD.

8338.

ABCD is a parallelogram where A (3, –3); B (5, 8); C (4, 7) & D(, y). Find the coordinates of D & equation of diagonal BD.

Answer»

ABCD is a parallelogram where A (3, –3); B (5, 8); C (4, 7) & D(, y).

Find the coordinates of D & equation of diagonal BD.

Discussion

8339.	Are the triangles in the given figure similar? If yes, by which test ?
Answer» Are the triangles in the given figure similar? If yes, by which test ?

Discussion

8340.	A man sells a sari for Rs.2100 and makes a profit of 16.66%.Find the cost price of the sari
Answer» A man sells a sari for Rs.2100 and makes a profit of 16.66%.Find the cost price of the sari

Discussion

8341.	149600000000 is equal to
Answer» 149600000000 is equal to

Discussion

8342.	Check whether (5, − 2), (6, 4) and (7, − 2) are the vertices of an isosceles triangle.
Answer» Check whether (5, − 2), (6, 4) and (7, − 2) are the vertices of an isosceles triangle.

Discussion

8343.	Find the sum of all natural numbers between 200 and 400 which are divisible by 7. [CBSE 2012]
Answer» Find the sum of all natural numbers between 200 and 400 which are divisible by 7. [CBSE 2012]

Discussion

8344.	7. if sin(cot^-1(x+1)=cos(tan^-1 ), then x is equal to
Answer» 7. if sin(cot^-1(x+1)=cos(tan^-1 ), then x is equal to

Discussion

8345.	If the points P(−3, 9), Q(a, b) and R(4, −5) are collinear and a + b = 1, find the values of a and b. [CBSE 2014]
Answer» If the points P(−3, 9), Q(a, b) and R(4, −5) are collinear and a + b = 1, find the values of a and b. [CBSE 2014]

Discussion

8346.	There are two equations given 1. a root b + b root a = 182 2. a root a + b root b = 183 Then find the value of 95(a+b)
Answer» There are two equations given 1. a root b + b root a = 182 2. a root a + b root b = 183 Then find the value of 95(a+b)

Discussion

8347.	If the volumes of two cones are in the ratio of 1:4 and their diameters are in the ratio of 4:5, then find the ratio of their heights.
Answer» If the volumes of two cones are in the ratio of 1:4 and their diameters are in the ratio of 4:5, then find the ratio of their heights.

Discussion

8348.	97.Water rises to a height of 20 cm in a capillary tube if cross section area A.if the cross sectional area of tube is 4A ,then what is the height to which the water will rise?
Answer» 97.Water rises to a height of 20 cm in a capillary tube if cross section area A.if the cross sectional area of tube is 4A ,then what is the height to which the water will rise?

Discussion

8349.	The area of two similar triangles are 36 cm2 and 100 cm2. If the length of a side of the smaller triangle in 3 cm, find the length of the corresponding side of the larger triangle.
Answer» The area of two similar triangles are 36 cm² and 100 cm². If the length of a side of the smaller triangle in 3 cm, find the length of the corresponding side of the larger triangle.

Discussion

8350.	On which axis do the following points lie?(a) P(5, 0) (b) Q(0−2)(c) R(−4,0)(d) S(0,5)
Answer» On which axis do the following points lie? (a) P(5, 0) (b) Q(0−2) (c) R(−4,0) (d) S(0,5)

Discussion

Explore topic-wise InterviewSolutions in .

In the above figure O is the center of the circle ∠AOB =80∘, ,then complete the matching. AngleValue1. ACB a. 902. ADBb. 403. ABCc. 804. AOCd. 180

Given Arithmetic Progression 12, 16, 20, 24, . . . Find the 24th term of this progression.

Question 31(i) An integer is chosen between 0 and 100. What is the probability that it is divisible by 7?

In the given figure, DE || BC(i) If DE = 4 cm, BC = 6 cm and Area (∆ADE) = 16 cm2, find the area of ∆ABC.(ii) If DE = 4 cm, BC = 8 cm and Area (∆ADE) = 25 cm2, find the area of ∆ABC.(iii) If DE : BC = 3 : 5. Calculate the ratio of the areas of ∆ADE and the trapezium BCED.

The shadow of a tower standing on a level ground is found to be 60 m longer when the Sun’s altitude is 30∘ than when it is 60∘. Find the height of the tower.

24. If alpha and beta are the zeroes of the quadratic polynomial f(t)=t(square)_(minus)5t+3 then the value of alpha (power4)beta (power3)+alpha (power3)beta (power4)

Please help me solving the sum!! How many terms of G.P 3 , 3/2 , 3/4... must be taken to give the sum 3069/5122 ???

Two straight paths are represented by the equations x−3y=2 and −2x+6y=5. Check whether the paths cross each other or not.

Sec50^°× Sin20^°+Cos20× Cosec7

A two digit number is obtained by multiplying the sum of the digits by 8. Also, it is obtained by multiplying the difference of the digits by 14 and adding 2. Find the number.

A man ‘X’ fires a gun. Another man ‘Y’ standing between ‘X’ &amp; a ship hears the sound twice 1st after 2s &amp; another 5s after the 1st sound. If ‘X’ &amp; ‘Y’ are 660m apart then calculate i) velocity of sound in air ii) distance between man ‘X’ &amp; the ship.

30. A helicopter takes off from a point 80m away from an observer located on the ground, and rises vertically at 4m/s. At what rate is elevation angle of the observer's​ line of sight to the helicopter changing when the helicopter is 60m above the ground?

In the given figure, PR > PQ and PS bisects ∠QPR. Prove that ∠PSR > ∠PSQ.

Find the value of k for which each of the following system of linear equations has an infinite number of solutions:k-3x+3y=k, kx+ky=12.

Which of the following is not the graph of a quadratic polynomial ?figure figure figure figure

Find the roots of each of the following equations, if they exist, by applying the quadratic formula:2x2+ax-a2=0 [CBSE 2015]

A room 4.9 m long and 3.5 m broad is covered with carpet, leaving an uncovered margin of 25 cm all around the room. If the breadth of the carpet is 80 cm, find its cost at Rs 80 per meter.

FIND THE ROOTS OF THE FOLLOWING QUADRATUC EQUATION BY FACTORISATION (i) 2x^2-x+1/8=0 (ii) \sqrt{2x^{ 2 }}+ 7x +\sqrt[5]2=

What is sin θ in the given right triangle, right angled at B?

Let O(0,0) and A(0,1) be two fixed points. Then the locus of a point P such that the perimeter of △AOP is 4, is:

Let A = {1, 2, 3, 4, 5} The domain of the relation on A defined by R ={(x,y): y = 2x-1},is__________________.

In figure, ABC is a triangle .DE is parallel to BC and ADDB=43Determine the ratios ADAB,DEBC

Question 2A right triangle, whose sides are 3 cm and 4 cm (other than hypotenuse) is made to revolve about its hypotenuse. Find the volume and surface area of the double cone so formed.

The sum of first q terms of an AP is (63q − 3q2). If its pth term is −60, find the value of p. Also, find the 11th term of its AP. [CBSE 2013]

If y=4/sin theta + cos theta then minimum valuebof y is

Let f:[−2,3]→R and g:[0,5]→R be such that f(x)=x3−x, g(x)=x3−2x2. Then the domain of f(x)g(x) is

Find the area of the shaded portion:

Find the correct graphical solution of given inequalities. −2(23)≤x+(13)&lt;3+(13),x ϵ R

In the adjacent figure O is the centre of the bigger circle and AC is its diameter. Another circle with AB as diameter is drawn. If AC = 54 cm and BC = 10 cm find the area of the shaded region in cm2.__

Find the smallest number which when divided by 8, 9, 10, 15, 20 gives a remainder of 5 every time.

In the given figure, point P is 26 cm away from the centre O of a circle and the length PT of the tangent drawn from P to the circle is 24 cm. Then the radius of the circle is [CBSE 2011, 12](a) 10 cm(b) 12 cm(c) 13 cm(d) 15 cm

In the given figure, a circle touches the side DF of ΔEDF at H and touches ED and EF produced at K and M respectively. If EK = 9 cm, then the perimeter of ΔEDF is(a) 18 cm (b) 13.5 cm (c) 12 cm (d) 9 cm [CBSE 2012]

Which similarity is used to prove that the constructed triangles are similar?

If one of the zeros of f(x) = x³ + 13x² + 32x + 20 is -2 then all its zeros are

Question 2 (ii) Find the sums given below (ii) 34 + 32 + 30 + ……….. + 10

ABCD is a parallelogram where A (3, –3); B (5, 8); C (4, 7) &amp; D(, y). Find the coordinates of D &amp; equation of diagonal BD.

Are the triangles in the given figure similar? If yes, by which test ?

A man sells a sari for Rs.2100 and makes a profit of 16.66%.Find the cost price of the sari

149600000000 is equal to

Check whether (5, − 2), (6, 4) and (7, − 2) are the vertices of an isosceles triangle.

Find the sum of all natural numbers between 200 and 400 which are divisible by 7. [CBSE 2012]

7. if sin(cot^-1(x+1)=cos(tan^-1 ), then x is equal to

If the points P(−3, 9), Q(a, b) and R(4, −5) are collinear and a + b = 1, find the values of a and b. [CBSE 2014]

There are two equations given 1. a root b + b root a = 182 2. a root a + b root b = 183 Then find the value of 95(a+b)

If the volumes of two cones are in the ratio of 1:4 and their diameters are in the ratio of 4:5, then find the ratio of their heights.

97.Water rises to a height of 20 cm in a capillary tube if cross section area A.if the cross sectional area of tube is 4A ,then what is the height to which the water will rise?

The area of two similar triangles are 36 cm2 and 100 cm2. If the length of a side of the smaller triangle in 3 cm, find the length of the corresponding side of the larger triangle.

On which axis do the following points lie?(a) P(5, 0) (b) Q(0−2)(c) R(−4,0)(d) S(0,5)

A man ‘X’ fires a gun. Another man ‘Y’ standing between ‘X’ & a ship hears the sound twice 1st after 2s & another 5s after the 1st sound. If ‘X’ & ‘Y’ are 660m apart then calculate i) velocity of sound in air ii) distance between man ‘X’ & the ship.

30. A helicopter takes off from a point 80m away from an observer located on the ground, and rises vertically at 4m/s. At what rate is elevation angle of the observer's line of sight to the helicopter changing when the helicopter is 60m above the ground?

Find the correct graphical solution of given inequalities. −2(23)≤x+(13)<3+(13),x ϵ R

ABCD is a parallelogram where A (3, –3); B (5, 8); C (4, 7) & D(, y). Find the coordinates of D & equation of diagonal BD.