24740 + Interview Questions in Mathematics Page 48 InterviewSolution

2351.	The area of the region above the x− axis bounded by the curve y=tanx, 0≤x≤π2 and the tangent to the curve at x=π4 is −a(a+lna), then 1a is equal to
Answer» The area of the region above the $x -$ axis bounded by the curve $y = tan x, 0 \leq x \leq \frac{π}{2}$ and the tangent to the curve at $x = \frac{π}{4}$ is $- a (a + ln a),$ then $\frac{1}{a}$ is equal to

Discussion

2352.	If the area of a rectangle is 42 square cm and its length is 7 cm then its breadth is:
Answer» If the area of a rectangle is 42 square cm and its length is 7 cm then its breadth is:

Discussion

2353.	Choose correct alternative answer and fill in the blanks. (i) Radius of a circle is 10 cm and distance of a chord from the centre is 6 cm. Hence the length of the chord is .........(A) 16 cm (B) 8 cm (C) 12 cm (D) 32 cm(ii) The point of concurrence of all angle bisectors of a triangle is called the ......(A) centroid (B) circumcentre (C) incentre (D) orthocentre(iii) The circle which passes through all the vertices of a triangle is called .....(A) circumcircle (B) incircle (C) congruent circle (D) concentric circle(iv) Length of a chord of a circle is 24 cm. If distance of the chord from the centre is 5 cm, then the radius of that circle is ....(A) 12 cm (B) 13 cm (C) 14 cm (D) 15 cm(v) The length of the longest chord of the circle with radius 2.9 cm is .....(A) 3.5 cm (B) 7 cm (C) 10 cm (D) 5.8 cm(vi) Radius of a circle with centre O is 4 cm. If l(OP) = 4.2 cm, say where point P will lie.(A) on the centre (B) Inside the circle (C) outside the circle(D) on the circle(vii) The lengths of parallel chords which are on opposite sides of the centre of a circle are 6 cm and 8 cm. If radius of the circle is 5 cm, then the distance between these chords is .....(A) 2 cm (B) 1 cm (C) 8 cm (D) 7 cm
Answer» Choose correct alternative answer and fill in the blanks. (i) Radius of a circle is 10 cm and distance of a chord from the centre is 6 cm. Hence the length of the chord is ......... (A) 16 cm (B) 8 cm (C) 12 cm (D) 32 cm (ii) The point of concurrence of all angle bisectors of a triangle is called the ...... (A) centroid (B) circumcentre (C) incentre (D) orthocentre (iii) The circle which passes through all the vertices of a triangle is called ..... (A) circumcircle (B) incircle (C) congruent circle (D) concentric circle (iv) Length of a chord of a circle is 24 cm. If distance of the chord from the centre is 5 cm, then the radius of that circle is .... (A) 12 cm (B) 13 cm (C) 14 cm (D) 15 cm (v) The length of the longest chord of the circle with radius 2.9 cm is ..... (A) 3.5 cm (B) 7 cm (C) 10 cm (D) 5.8 cm (vi) Radius of a circle with centre O is 4 cm. If l(OP) = 4.2 cm, say where point P will lie. (A) on the centre (B) Inside the circle (C) outside the circle(D) on the circle (vii) The lengths of parallel chords which are on opposite sides of the centre of a circle are 6 cm and 8 cm. If radius of the circle is 5 cm, then the distance between these chords is ..... (A) 2 cm (B) 1 cm (C) 8 cm (D) 7 cm

Discussion

2354.	In Fig. explain how one can find the breadth of the river without crossing it.
Answer» In Fig. explain how one can find the breadth of the river without crossing it.

2354.

In Fig. explain how one can find the breadth of the river without crossing it.

Answer»

In Fig. explain how one can find the breadth of the river without crossing it.

Discussion

2355.	In the elimination method --------- is a must.
Answer» In the elimination method --------- is a must.

Discussion

2356.	The distance of the point (− 3, 4) from the x-axis is(a) 3(b) − 3(c) 4(d) 5
Answer» The distance of the point (− 3, 4) from the x-axis is (a) 3 (b) − 3 (c) 4 (d) 5

Discussion

2357.	{(1.003)}^4 is nearly equal to 1. 1.012 2. 1.0012 3. 0.988 4. 1.003
Answer» {(1.003)}^4 is nearly equal to 1. 1.012 2. 1.0012 3. 0.988 4. 1.003

Discussion

2358.	In Fig. 9, O is the centre of the circle. The distance between P and Q is 4 cm. Find the ∠ROQ.
Answer» In Fig. 9, O is the centre of the circle. The distance between P and Q is 4 cm. Find the ∠ROQ.

Discussion

2359.	Which of the following are the properties of a parallelogram?
Answer» Which of the following are the properties of a parallelogram?

Discussion

2360.	A small village, having a population of 5,000 requires 75 litres of water per head per day. The village has got an over head tank of measurement 40 m × 25 m × 15 m. For how many days will the water in the tank last?
Answer» A small village, having a population of 5,000 requires 75 litres of water per head per day. The village has got an over head tank of measurement 40 m $\times$ 25 m $\times$ 15 m. For how many days will the water in the tank last?

Discussion

2361.	The diameter of a roller is 84 cm and its length is 120 cm. It takes 500 complete revolutions to move once over to level a playground. Find the area of the playground in m2? [Assume π=227]
Answer» The diameter of a roller is 84 cm and its length is 120 cm. It takes 500 complete revolutions to move once over to level a playground. Find the area of the playground in $m^{2}$ ? $[A s s u m e π = \frac{22}{7}]$

Discussion

2362.	If Q (0, 1) is equidistant from P (5, - 3) and R (x, 6), find the values of x. Also find the distance QR and PR.
Answer» If Q (0, 1) is equidistant from P (5, - 3) and R (x, 6), find the values of x. Also find the distance QR and PR.

Discussion

2363.	Vikas is keeping his accounts according to Single Entry System. His capital on 31st December, 2015 was ₹ 2,50,000 and his capital on 31st December, 2016 was ₹ 4,25,000. He further informs you that during the year he gave a loan of ₹ 30,000 to his brother on private account and withdrew ₹ 1,000 per month for personal purposes. He used a flat for his personal purpose, the rent of which ₹ 1,800 per month and electricity charges at an average of 10% of rent per month were paid from the business account. During the year he sold his 7% Government Bonds of ₹ 50,000 at 1% premium and brought that money into the business.Prepare a Statement of Profit or Loss for the year ended 31st December, 2016.
Answer» Vikas is keeping his accounts according to Single Entry System. His capital on 31st December, 2015 was ₹ 2,50,000 and his capital on 31st December, 2016 was ₹ 4,25,000. He further informs you that during the year he gave a loan of ₹ 30,000 to his brother on private account and withdrew ₹ 1,000 per month for personal purposes. He used a flat for his personal purpose, the rent of which ₹ 1,800 per month and electricity charges at an average of 10% of rent per month were paid from the business account. During the year he sold his 7% Government Bonds of ₹ 50,000 at 1% premium and brought that money into the business. Prepare a Statement of Profit or Loss for the year ended 31st December, 2016.

Discussion

2364.	5. If the bisector of any angle of a triangle also bisects the opposite side then prove that the triangle is an isosceles triangle. e bisector of any an
Answer» 5. If the bisector of any angle of a triangle also bisects the opposite side then prove that the triangle is an isosceles triangle. e bisector of any an

Discussion

2365.	The factorisation of a4+b4−7a2b2 is equal to .
Answer» The factorisation of $a^{4} + b^{4} - 7 a^{2} b^{2}$ is equal to .

Discussion

2366.	Express 0.6+0.¯7+0.4¯7 In the form pq, where p and q are integers and q≠0.
Answer» Express $0.6 + 0. ¯ 7 + 0.4 ¯ 7$ In the form $\frac{p}{q}$ , where p and q are integers and $q \neq 0$ .

Discussion

2367.	A dice is rolled. Let us consider the following events associated with this experiment.A: 'a number less than 7'B: 'a number greater than 7'C: 'a number multiple of 3'Then A∩B′∩C′ is
Answer» A dice is rolled. Let us consider the following events associated with this experiment. $A :$ 'a number less than $7$ ' $B :$ 'a number greater than $7$ ' $C :$ 'a number multiple of $3$ ' Then $A \cap B^{'} \cap C^{'}$ is

Discussion

2368.	Find the mode for the following series:7.5, 7.3, 7.2, 7.2, 7.4, 7.7, 7.7, 7.5, 7.3, 7.2, 7.6, 7.2
Answer» Find the mode for the following series: 7.5, 7.3, 7.2, 7.2, 7.4, 7.7, 7.7, 7.5, 7.3, 7.2, 7.6, 7.2

Discussion

2369.	Which of the following numbers has terminating decimal expansion?(a) 3745(b) 212356(c) 1749(d) 892232
Answer» Which of the following numbers has terminating decimal expansion? (a) $\frac{37}{45}$ (b) $\frac{21}{2^{3} 5^{6}}$ (c) $\frac{17}{49}$ (d) $\frac{89}{2^{2} 3^{2}}$

Discussion

2370.	The following data shows monthly savings of 100 families . Find the difference of modal and mean monthly savings. Monthly savings(Rs) Number of families 1000−2000122000−3000153000−4000214000−5000275000−600025
Answer» The following data shows monthly savings of 100 families . Find the difference of modal and mean monthly savings. $\begin{matrix} M o n t h l y s a v i n g s (R s) & N u m b e r o f f a m i l i e s 1000 - 2000 & 12 2000 - 3000 & 15 3000 - 4000 & 21 4000 - 5000 & 27 5000 - 6000 & 25 \end{matrix}$

2370.

The following data shows monthly savings of 100 families . Find the difference of modal and mean monthly savings. Monthly savings(Rs) Number of families 1000−2000122000−3000153000−4000214000−5000275000−600025

Answer»

The following data shows monthly savings of 100 families . Find the difference of modal and mean monthly savings.

$\begin{matrix} M o n t h l y s a v i n g s (R s) & N u m b e r o f f a m i l i e s 1000 - 2000 & 12 2000 - 3000 & 15 3000 - 4000 & 21 4000 - 5000 & 27 5000 - 6000 & 25 \end{matrix}$

Discussion

2371.	19. If li,mi,ni; i=1,2,3 denote the direction cosines of three mutually perpendicular vectors in space,prove that AA'=I,where A=[l1 m1 n1 ] [ l2 m2 n2] [l3 m3 n3 ]
Answer» 19. If li,mi,ni; i=1,2,3 denote the direction cosines of three mutually perpendicular vectors in space,prove that AA'=I,where A=[l1 m1 n1 ] [ l2 m2 n2] [l3 m3 n3 ]

Discussion

2372.	The area of a rhombus is 144 cm2 and one of its diagonals is double the other. The length of thelonger diagonal is(a) 12 cm (b) 16 cm (c) 18 cm (d) 24 cm
Answer» The area of a rhombus is 144 cm² and one of its diagonals is double the other. The length of the longer diagonal is (a) 12 cm (b) 16 cm (c) 18 cm (d) 24 cm

Discussion

2373.	In ∆ABC, D and E are the mid points of AB and AC respectively. If BC = 10cm, then DE =
Answer» In ∆ABC, D and E are the mid points of AB and AC respectively. If BC = 10cm, then DE =

2373.

In ∆ABC, D and E are the mid points of AB and AC respectively. If BC = 10cm, then DE =

Answer»

In ∆ABC, D and E are the mid points of AB and AC respectively.

If BC = 10cm, then DE =

Discussion

2374.	Find the values of a and b so that the polynomial (x4+ax3−7x2−8x+b) is exactly divisible by (x + 2) as well as (x +3).
Answer» Find the values of a and b so that the polynomial $(x^{4} + a x^{3} - 7 x^{2} - 8 x + b)$ is exactly divisible by (x + 2) as well as (x +3).

Discussion

2375.	Question 8Find the solution of the linear equation x + 2y = 8 which represent a point on:(i) x-axis(ii) y-axis
Answer» Question 8 Find the solution of the linear equation x + 2y = 8 which represent a point on: (i) x-axis (ii) y-axis

Discussion

2376.	Find x if √2x+3 = 16.
Answer» Find $x$ if $\sqrt{2^{x + 3}} = 16$ .

Discussion

2377.	The length of the common chord of two intersecting circles is 30 cm. If the diameters of these two circles are 50 cm & 34 cm, the distance between their centers is ____ cm.
Answer» The length of the common chord of two intersecting circles is 30 cm. If the diameters of these two circles are 50 cm & 34 cm, the distance between their centers is ____ cm.

2377.

The length of the common chord of two intersecting circles is 30 cm. If the diameters of these two circles are 50 cm & 34 cm, the distance between their centers is ____ cm.

Answer»

The length of the common chord of two intersecting circles is 30 cm. If the diameters of these two circles are 50 cm & 34 cm, the distance between their centers is ____ cm.

Discussion

2378.	Find the perimeter of the rectangle whose length of one side is 12 cm and the length of the diagonal is 13 cm.
Answer» Find the perimeter of the rectangle whose length of one side is 12 cm and the length of the diagonal is 13 cm.

Discussion

2379.	A die is rolled twice. Find the probability that 5 will come up both the times.
Answer» A die is rolled twice. Find the probability that 5 will come up both the times.

Discussion

2380.	In a cricket match, a batsman hits a boundary 6 times out of 30 balls he plays.(i) he hits boundary(ii) he does not hit a boundary.
Answer» In a cricket match, a batsman hits a boundary 6 times out of 30 balls he plays. (i) he hits boundary (ii) he does not hit a boundary.

Discussion

2381.	Question 6 In the figure given, the radius of the circle is 15cm. The angle subtended by the chord AB at the centre O is 60∘. Find the area of the major and minor segments.
Answer» Question 6 In the figure given, the radius of the circle is 15cm. The angle subtended by the chord AB at the centre O is $60^{\circ}$ . Find the area of the major and minor segments.

Discussion

2382.	Which of the following expressions is a polynomial in one variable? (a) x+2x+3 (b) 3√x+2√x+5 (c) √2x2−√3x+6 (d) x10+y5+8
Answer» Which of the following expressions is a polynomial in one variable? (a) $x + \frac{2}{x} + 3$ (b) $3 \sqrt{x} + \frac{2}{\sqrt{x}} + 5$ (c) $\sqrt{2} x^{2} - \sqrt{3} x + 6$ (d) $x^{10} + y^{5} + 8$

Discussion

2383.	A bag contains 5 red, 8 black and 7 white balls. One ball is chosen at random. What is the probability that the chosen ball is black? (a) 23 (b) 25 (c) 35 (d) 13
Answer» A bag contains 5 red, 8 black and 7 white balls. One ball is chosen at random. What is the probability that the chosen ball is black? (a) $\frac{2}{3}$ (b) $\frac{2}{5}$ (c) $\frac{3}{5}$ (d) $\frac{1}{3}$

2383.

A bag contains 5 red, 8 black and 7 white balls. One ball is chosen at random. What is the probability that the chosen ball is black? (a) 23 (b) 25 (c) 35 (d) 13

Answer»

A bag contains 5 red, 8 black and 7 white balls. One ball is chosen at random. What is the probability that the chosen ball is black?

(a) $\frac{2}{3}$

(b) $\frac{2}{5}$

(c) $\frac{3}{5}$

(d) $\frac{1}{3}$

Discussion

2384.	Question 06.In a model of a ship, the mast is 9 cm high, while the mast of the actual ship is 12 m high. If the length of the ship is 28 m, how long is the model ship?
Answer» Question 06. In a model of a ship, the mast is 9 cm high, while the mast of the actual ship is 12 m high. If the length of the ship is 28 m, how long is the model ship?

Discussion

2385.	If p and q are distinct zeroes of polynomial x^3-2x+r=0 and p^2(2p^2+4pq+3q^2)=3 thenq^2(3p^2+4pq+2q^2) is equal to
Answer» If p and q are distinct zeroes of polynomial x^3-2x+r=0 and p^2(2p^2+4pq+3q^2)=3 thenq^2(3p^2+4pq+2q^2) is equal to

Discussion

2386.	For the question given below,four alternative choices have been provided of which only one is correct. You have to select the correct choice:A triangle and a rhombus are on the same base and between the same parallels. Then, the ratio of area of triangle to that of rhombus is:(a) 1 : 1(b) 1 : 2(c) 1 : 3(d) 1 : 4
Answer» For the question given below,four alternative choices have been provided of which only one is correct. You have to select the correct choice: A triangle and a rhombus are on the same base and between the same parallels. Then, the ratio of area of triangle to that of rhombus is: (a) 1 : 1 (b) 1 : 2 (c) 1 : 3 (d) 1 : 4

Discussion

2387.	Question 6 In covering a distance s m , a circular wheel of radius r m makes s2πr revolution. Is this statement true ? why?
Answer» Question 6 In covering a distance s m , a circular wheel of radius r m makes $\frac{s}{2 π r}$ revolution. Is this statement true ? why?

Discussion

2388.	f(x) = 2x4 − 6x3 + 2x2 − x + 2, g(x) = x + 2
Answer» f(x) = 2x⁴ − 6x³ + 2x² − x + 2, g(x) = x + 2

Discussion

2389.	What is the volume of a rectangular box, which is 2 feet high, 6 feet wide and 6 feet long?
Answer» What is the volume of a rectangular box, which is 2 feet high, 6 feet wide and 6 feet long?

Discussion

2390.	ABCD is a quadrilateral and BD is one of its diagonals as shown in the following figure. Find the area of quadrilateral ABCD.
Answer» ABCD is a quadrilateral and BD is one of its diagonals as shown in the following figure. Find the area of quadrilateral ABCD.

Discussion

2391.	If AB is a chord which passes through the centre O of a circle, then what is AB known as?
Answer» If AB is a chord which passes through the centre O of a circle, then what is AB known as?

Discussion

2392.	If x+1x=2 then the positive value of √x+1√x will be
Answer» If $x + \frac{1}{x} = 2$ then the positive value of $\sqrt{x} + \frac{1}{\sqrt{x}}$ will be

Discussion

2393.	The radius of he base and the height of a cylinder are in the ratio 2:3.If its volume is 1617 cm2 ,find the total surface area of the cylinder.
Answer» The radius of he base and the height of a cylinder are in the ratio 2:3.If its volume is 1617 $c m^{2}$ ,find the total surface area of the cylinder.

Discussion

2394.	In the given figure if BE = CF, then which of these following options is correct?
Answer» In the given figure if BE = CF, then which of these following options is correct?

Discussion

2395.	One of the factors of (9x2 − 1) − (1 + 3x)2, is(a) 3 + x(b) 3 − x(c) 3x − 1(d) 3x + 1
Answer» One of the factors of (9x² − 1) − (1 + 3x)², is (a) 3 + x (b) 3 − x (c) 3x − 1 (d) 3x + 1

Discussion

2396.	Question 115(iv)Express each of the following in standard form:The human body has 1 trillion of cells which vary in shapes and sizes.
Answer» Question 115(iv) Express each of the following in standard form: The human body has 1 trillion of cells which vary in shapes and sizes.

2396.

Question 115(iv)Express each of the following in standard form:The human body has 1 trillion of cells which vary in shapes and sizes.

Answer»

Question 115(iv)

Express each of the following in standard form:

The human body has 1 trillion of cells which vary in shapes and sizes.

Discussion

2397.	Factorize x3y3+1
Answer» Factorize $x^{3} y^{3} + 1$

Discussion

2398.	Question 2 ABCD is a rhombus and P, Q, R and S are the mid-points of the sides, AB, CD and DA respectively. Show that the quadrilateral PQRS is a rectangle.
Answer» Question 2 ABCD is a rhombus and P, Q, R and S are the mid-points of the sides, AB, CD and DA respectively. Show that the quadrilateral PQRS is a rectangle.

Discussion

2399.	Give rectifying Journal entries for the following errors:(i) Goods returned by Mohan of ₹ 1,500 not recorded in books.(ii) Goods distributed as free samples for ₹ 5,000 not recorded.(iii) Depreciation of machinery of ₹ 10,000 not charged.(iv) Goods costing ₹ 780, selling price ₹ 1,000 given as charity not recorded.
Answer» Give rectifying Journal entries for the following errors: (i) Goods returned by Mohan of ₹ 1,500 not recorded in books. (ii) Goods distributed as free samples for ₹ 5,000 not recorded. (iii) Depreciation of machinery of ₹ 10,000 not charged. (iv) Goods costing ₹ 780, selling price ₹ 1,000 given as charity not recorded.

Discussion

2400.	In triangle ABC, AD is the median and E is the mid point of AD, also BE is produced to meet AC at F. Then prove that AF=1/3AC.
Answer» In triangle ABC, AD is the median and E is the mid point of AD, also BE is produced to meet AC at F. Then prove that AF=1/3AC.

Discussion

Explore topic-wise InterviewSolutions in .

The area of the region above the x− axis bounded by the curve y=tanx, 0≤x≤π2 and the tangent to the curve at x=π4 is −a(a+lna), then 1a is equal to

If the area of a rectangle is 42 square cm and its length is 7 cm then its breadth is:

In Fig. explain how one can find the breadth of the river without crossing it.

In the elimination method --------- is a must.

The distance of the point (− 3, 4) from the x-axis is(a) 3(b) − 3(c) 4(d) 5

{(1.003)}^4 is nearly equal to 1. 1.012 2. 1.0012 3. 0.988 4. 1.003

In Fig. 9, O is the centre of the circle. The distance between P and Q is 4 cm. Find the ∠ROQ.

Which of the following are the properties of a parallelogram?

A small village, having a population of 5,000 requires 75 litres of water per head per day. The village has got an over head tank of measurement 40 m × 25 m × 15 m. For how many days will the water in the tank last?

The diameter of a roller is 84 cm and its length is 120 cm. It takes 500 complete revolutions to move once over to level a playground. Find the area of the playground in m2? [Assume π=227]

If Q (0, 1) is equidistant from P (5, - 3) and R (x, 6), find the values of x. Also find the distance QR and PR.

5. If the bisector of any angle of a triangle also bisects the opposite side then prove that the triangle is an isosceles triangle. e bisector of any an

The factorisation of a4+b4−7a2b2 is equal to .

Express 0.6+0.¯7+0.4¯7 In the form pq, where p and q are integers and q≠0.

A dice is rolled. Let us consider the following events associated with this experiment.A: 'a number less than 7'B: 'a number greater than 7'C: 'a number multiple of 3'Then A∩B′∩C′ is

Find the mode for the following series:7.5, 7.3, 7.2, 7.2, 7.4, 7.7, 7.7, 7.5, 7.3, 7.2, 7.6, 7.2

Which of the following numbers has terminating decimal expansion?(a) 3745(b) 212356(c) 1749(d) 892232

The following data shows monthly savings of 100 families . Find the difference of modal and mean monthly savings. Monthly savings(Rs) Number of families 1000−2000122000−3000153000−4000214000−5000275000−600025

19. If li,mi,ni; i=1,2,3 denote the direction cosines of three mutually perpendicular vectors in space,prove that AA'=I,where A=[l1 m1 n1 ] [ l2 m2 n2] [l3 m3 n3 ]

The area of a rhombus is 144 cm2 and one of its diagonals is double the other. The length of thelonger diagonal is(a) 12 cm (b) 16 cm (c) 18 cm (d) 24 cm

In ∆ABC, D and E are the mid points of AB and AC respectively. If BC = 10cm, then DE =

Find the values of a and b so that the polynomial (x4+ax3−7x2−8x+b) is exactly divisible by (x + 2) as well as (x +3).

Question 8Find the solution of the linear equation x + 2y = 8 which represent a point on:(i) x-axis(ii) y-axis

Find x if √2x+3 = 16.

The length of the common chord of two intersecting circles is 30 cm. If the diameters of these two circles are 50 cm &amp; 34 cm, the distance between their centers is ____ cm.

Find the perimeter of the rectangle whose length of one side is 12 cm and the length of the diagonal is 13 cm.

A die is rolled twice. Find the probability that 5 will come up both the times.

In a cricket match, a batsman hits a boundary 6 times out of 30 balls he plays.(i) he hits boundary(ii) he does not hit a boundary.

Question 6 In the figure given, the radius of the circle is 15cm. The angle subtended by the chord AB at the centre O is 60∘. Find the area of the major and minor segments.

Which of the following expressions is a polynomial in one variable? (a) x+2x+3 (b) 3√x+2√x+5 (c) √2x2−√3x+6 (d) x10+y5+8

A bag contains 5 red, 8 black and 7 white balls. One ball is chosen at random. What is the probability that the chosen ball is black? (a) 23 (b) 25 (c) 35 (d) 13

Question 06.In a model of a ship, the mast is 9 cm high, while the mast of the actual ship is 12 m high. If the length of the ship is 28 m, how long is the model ship?

If p and q are distinct zeroes of polynomial x^3-2x+r=0 and p^2(2p^2+4pq+3q^2)=3 thenq^2(3p^2+4pq+2q^2) is equal to

Question 6 In covering a distance s m , a circular wheel of radius r m makes s2πr revolution. Is this statement true ? why?

f(x) = 2x4 − 6x3 + 2x2 − x + 2, g(x) = x + 2

What is the volume of a rectangular box, which is 2 feet high, 6 feet wide and 6 feet long?

ABCD is a quadrilateral and BD is one of its diagonals as shown in the following figure. Find the area of quadrilateral ABCD.

If AB is a chord which passes through the centre O of a circle, then what is AB known as?

If x+1x=2 then the positive value of √x+1√x will be

The radius of he base and the height of a cylinder are in the ratio 2:3.If its volume is 1617 cm2 ,find the total surface area of the cylinder.

In the given figure if BE = CF, then which of these following options is correct?

One of the factors of (9x2 − 1) − (1 + 3x)2, is(a) 3 + x(b) 3 − x(c) 3x − 1(d) 3x + 1

Question 115(iv)Express each of the following in standard form:The human body has 1 trillion of cells which vary in shapes and sizes.

Factorize x3y3+1

Question 2 ABCD is a rhombus and P, Q, R and S are the mid-points of the sides, AB, CD and DA respectively. Show that the quadrilateral PQRS is a rectangle.

In triangle ABC, AD is the median and E is the mid point of AD, also BE is produced to meet AC at F. Then prove that AF=1/3AC.

The length of the common chord of two intersecting circles is 30 cm. If the diameters of these two circles are 50 cm & 34 cm, the distance between their centers is ____ cm.