32581 + Interview Questions in Mathematics Page 208 InterviewSolution

10351.	If for each year, the states are ranked in terms of descending order of sales tax collections, then how many states don't change their ranking more than once over the five years?
Answer» If for each year, the states are ranked in terms of descending order of sales tax collections, then how many states don't change their ranking more than once over the five years?

Discussion

10352.	Distance between the points (−x1,−y1) and (−x2,−y2) is given by
Answer» Distance between the points $(- x_{1}, - y_{1}) a n d (- x_{2}, - y_{2})$ is given by

Discussion

10353.	A bag contains 5 black, 4 green and 6 red balls. If a ball is drawn at random from the bag, find the probability that it will be: i) red ii) black iii) green [3 MARKS]
Answer» A bag contains 5 black, 4 green and 6 red balls. If a ball is drawn at random from the bag, find the probability that it will be: i) red ii) black iii) green [3 MARKS]

Discussion

10354.	The graph below represents equations that have
Answer» The graph below represents equations that have

10354.

The graph below represents equations that have

Answer»

The graph below represents equations that have

Discussion

10355.	Question 6A 1.5 m tall boy is standing at some distance from a 30 m tall building. The angle of elevation from his eyes to the top of the building increases from 30∘ to 60∘ as he walks towards the building. Find the distance he walked towards the building.
Answer» Question 6 A 1.5 m tall boy is standing at some distance from a 30 m tall building. The angle of elevation from his eyes to the top of the building increases from $30^{\circ} t o 60^{\circ}$ as he walks towards the building. Find the distance he walked towards the building.

Discussion

10356.	Arun was instructed to clap every time the count of the instructor reaches a multiple of 3. How many times did he clap when the count reached 63?___
Answer» Arun was instructed to clap every time the count of the instructor reaches a multiple of 3. How many times did he clap when the count reached 63?___

Discussion

10357.	If two chords AB, CD intersect each other at O and AO = 9 cm, BO = 4 cm, CO = 10+x cm, DO = 10−x cm. Fine the value of x.
Answer» If two chords AB, CD intersect each other at O and AO = 9 cm, BO = 4 cm, CO = $10 + x$ cm, DO = $10 - x$ cm. Fine the value of $x$ .

10357.

If two chords AB, CD intersect each other at O and AO = 9 cm, BO = 4 cm, CO = 10+x cm, DO = 10−x cm. Fine the value of x.

Answer»

If two chords AB, CD intersect each other at O and AO = 9 cm, BO = 4 cm, CO = $10 + x$ cm, DO = $10 - x$ cm. Fine the value of $x$ .

Discussion

10358.	A sphere of diameter 5 cm is dropped into a cylindrical vessel partly filled with water. The diameter of the base of the vessel is 10 cm. If the sphere is completely submerged, by how much will the level of water rise?
Answer» A sphere of diameter 5 cm is dropped into a cylindrical vessel partly filled with water. The diameter of the base of the vessel is 10 cm. If the sphere is completely submerged, by how much will the level of water rise?

Discussion

10359.	G H I J K L
Answer» G H I J K L

Discussion

10360.	If you are asked to construct △APQ ∼ △ABC with the scale factor 35, which of the following is incorrect? Given: In △ABC,AB=4cm, BC=3cm and ∠ABC=90∘. A1A2=A2A3=A3A4=A4A5.
Answer» If you are asked to construct $△$ APQ $\sim$ $△$ ABC with the scale factor $\frac{3}{5}$ , which of the following is incorrect? Given: In $△ A B C, A B = 4 c m$ , $B C = 3 c m$ and $∠ A B C = 90^{\circ}$ . $A_{1} A_{2} = A_{2} A_{3} = A_{3} A_{4} = A_{4} A_{5}$ .

Discussion

10361.	If the height and radius of a cone of volume V are doubled, then the volume of the cone will be _____.
Answer» If the height and radius of a cone of volume $V$ are doubled, then the volume of the cone will be _____.

Discussion

10362.	In TSA of spherical shell, why is it not needed to add 4π(r)^2 + 4π(R)^2? Why only 4π(R)^2 is written?
Answer» In TSA of spherical shell, why is it not needed to add 4π(r)^2 + 4π(R)^2? Why only 4π(R)^2 is written?

Discussion

10363.	Question 14A 1.2 m tall girl spots a balloon moving with the wind in a horizontal line at a height of 88.2 m from the ground. The angle of elevation of the balloon from the eyes of the girl at any instant is 60∘. After some time, the angle of elevation reduces to 30∘. Find the distance travelled by the balloon during the interval.
Answer» Question 14 A 1.2 m tall girl spots a balloon moving with the wind in a horizontal line at a height of 88.2 m from the ground. The angle of elevation of the balloon from the eyes of the girl at any instant is $60^{\circ}$ . After some time, the angle of elevation reduces to $30^{\circ}$ . Find the distance travelled by the balloon during the interval.

Discussion

10364.	Mr. Kasam runs a small business of making earthen pots. He makes certain number of pots on daily basis. Production cost of each pot is Rs 40 more than 10 times total number of pots, he makes in one day. If production cost of all pots per day is Rs 600, find production cost of one pot and number of pots he makes per day.
Answer» Mr. Kasam runs a small business of making earthen pots. He makes certain number of pots on daily basis. Production cost of each pot is Rs 40 more than 10 times total number of pots, he makes in one day. If production cost of all pots per day is Rs 600, find production cost of one pot and number of pots he makes per day.

Discussion

10365.	If y=1-x+x22!-x33!+x44! _________________, then d2ydx2 = __________________.
Answer» If $y = 1 - x + \frac{x^{2}}{2!} - \frac{x^{3}}{3!} + \frac{x 4}{4!}_________________, then \frac{d^{2} y}{d x^{2}} =__________________.$

Discussion

10366.	USE EUCLID DIVISON LEMMA TO SHOW THAT THE SQUAREOF ANY POSITIVE INTEGER IS EITHER OF THE FORM 3m or 3m+1or 3m+2 FOR SOME INTEGER m.
Answer» USE EUCLID DIVISON LEMMA TO SHOW THAT THE SQUAREOF ANY POSITIVE INTEGER IS EITHER OF THE FORM 3m or 3m+1or 3m+2 FOR SOME INTEGER m.

Discussion

10367.	If you are asked to construct △APQ ∼ △ABC with the scale factor 35, which of the following is incorrect? Given: In △ABC,AB=4cm, BC=3cm and ∠ABC=90∘. A1A2=A2A3=A3A4=A4A5.
Answer» If you are asked to construct $△$ APQ $\sim$ $△$ ABC with the scale factor $\frac{3}{5}$ , which of the following is incorrect? Given: In $△ A B C, A B = 4 c m$ , $B C = 3 c m$ and $∠ A B C = 90^{\circ}$ . $A_{1} A_{2} = A_{2} A_{3} = A_{3} A_{4} = A_{4} A_{5}$ .

Discussion

10368.	In the given figure, if ∠ABC=69∘ and ∠ACB=31∘. Then, enter the value of ∠BDC in degrees 80
Answer» $In the given figure, if ∠ A B C = 69^{\circ} and$ $∠ A C B = 31^{\circ} .$ $Then, enter the value of ∠ B D C in degrees$ 80

Discussion

10369.	19. Just a hair dryer for 5400 including 8% VAT .find the price before VAT was added
Answer» 19. Just a hair dryer for 5400 including 8% VAT .find the price before VAT was added

Discussion

10370.	The line x + y = 10 divides line segment AB in the ratio a : 1. Find the value of a.
Answer» The line x + y = 10 divides line segment AB in the ratio a : 1. Find the value of a.

Discussion

10371.	The areas of two similar triangles are 169 cm2 and 121 cm2 respectively. If the longest side of the larger triangle is 26 cm, find the longest side of the smaller triangle.
Answer» The areas of two similar triangles are 169 cm² and 121 cm² respectively. If the longest side of the larger triangle is 26 cm, find the longest side of the smaller triangle.

Discussion

10372.	can a exponent be irrational ?
Answer» can a exponent be irrational ?

Discussion

10373.	Factorise: x^3 +4x^2 +4x+1
Answer» Factorise: x^3 +4x^2 +4x+1

Discussion

10374.	The angle subtended by the diameter of a circle is
Answer» The angle subtended by the diameter of a circle is

Discussion

10375.	Verify that 2 and 1 and-½ are the zeros of polynomial p(x)= 2x³-5x²+x+2 and then verify the relationship between zeros and coefficients
Answer» Verify that 2 and 1 and-½ are the zeros of polynomial p(x)= 2x³-5x²+x+2 and then verify the relationship between zeros and coefficients

Discussion

10376.	Radius of a circle is 10 cm. Measure of an arc of the crcleis 54°. Find the area of the sector associated with the arc. ( π= 3.14 )
Answer» Radius of a circle is 10 cm. Measure of an arc of the crcleis 54^°. Find the area of the sector associated with the arc. ( $π$ = 3.14 )

Discussion

10377.	Prove the following trigonometric identities.(1 + cot2 A) sin2 A = 1
Answer» Prove the following trigonometric identities. (1 + cot² A) sin² A = 1

Discussion

10378.	The probability of getting 53 Fridays in a leap year is .
Answer» The probability of getting 53 Fridays in a leap year is .

Discussion

10379.	Question 5The graph of the linear equation 2x + 3y = 6 cuts the y-axis at the point:A) (2, 0)B) (0, 3)C) (3, 0)D) (0, 2)
Answer» Question 5 The graph of the linear equation 2x + 3y = 6 cuts the y-axis at the point: A) (2, 0) B) (0, 3) C) (3, 0) D) (0, 2)

Discussion

10380.	The angle of depression from the top of the building A to the tortoise is 60∘. The angle of elevation from the top of building A to the top of building B is 30∘. What is the ratio of the heights of building A is to building B? (Height of the tortoise is negligible.)
Answer» The angle of depression from the top of the building A to the tortoise is $60^{\circ}$ . The angle of elevation from the top of building A to the top of building B is $30^{\circ}$ . What is the ratio of the heights of building A is to building B? (Height of the tortoise is negligible.)

Discussion

10381.	Construct an isosceles triangle ABC with BC= 6.2cm and altitude= 4.4cm.
Answer» Construct an isosceles triangle ABC with BC= 6.2cm and altitude= 4.4cm.

Discussion

10382.	If a square matrix A is such that det(A)=5 and det(2A)=640, then the order of A is [2 marks]
Answer» If a square matrix $A$ is such that $det (A) = 5$ and $det (2 A) = 640,$ then the order of $A$ is [2 marks]

Discussion

10383.	A hemispherical tank full of water is emptied by a pipe at the rate of 25/7 litres per second. How much time will it take to empty half the tank, if it is 3m in diameter? (Take π=227)
Answer» A hemispherical tank full of water is emptied by a pipe at the rate of 25/7 litres per second. How much time will it take to empty half the tank, if it is 3m in diameter? (Take $π = \frac{22}{7}$ )

Discussion

10384.	Three vrtices of a parallogram are (1,2,1),(2,5,6)&(1,6,0). Find the coordinate of the fourth vertex
Answer» Three vrtices of a parallogram are (1,2,1),(2,5,6)&(1,6,0). Find the coordinate of the fourth vertex

Discussion

10385.	If R be a relation < from A={1,2,3,4} to B={1,3,5} i.e., (a,b) ∈ R ⇔ a<b, then RoR−1 is
Answer» If R be a relation $<$ from A={1,2,3,4} to B={1,3,5} i.e., (a,b) $\in R \Leftrightarrow a < b, t h e n R o R^{- 1}$ is

Discussion

10386.	Write the linear equations in two variables for the given information :Five years from present, the age of Sachin will be three times that of his son. Five years ago, Sachin’s age was seven times that of his son.
Answer» Write the linear equations in two variables for the given information : Five years from present, the age of Sachin will be three times that of his son. Five years ago, Sachin’s age was seven times that of his son.

Discussion

10387.	Solve for x and y:xa-yb=0ax+by=a2+b2
Answer» Solve for x and y: $\frac{x}{a} - \frac{y}{b} = 0 a x + b y = a^{2} + b^{2}$

Discussion

10388.	Write sample space ‘S’ and number of sample point n(S) for each of the following experiments. Also write events A, B, C in the set form and write n(A), n(B), n(C).(1) One die is rolled,Event A : Even number on the upper face. Event B : Odd number on the upper face.Event C : Prime number on the upper face.(2) Two dice are rolled simultaneously,Event A : The sum of the digits on upper faces is a multiple of 6. Event B : The sum of the digits on the upper faces is minimum 10.Event C : The same digit on both the upper faces.(3) Three coins are tossed simultaneously.Condition for event A : To get at least two heads. Condition for event B : To get no head.Condition for event C : To get head on the second coin.(4) Two digit numbers are formed using digits 0, 1, 2, 3, 4, 5 without repetition of the digits.Condition for event A : The number formed is evenCondition for event B : The number formed is divisible by 3.Condition for event C : The number formed is greater than 50.(5) From three men and two women, environment committee of two persons is to be formed.Condition for event A : There must be at least one woman member.Condition for event B : One man, one woman committee to be formed.Condition for event C : There should not be a woman member.(6) One coin and one die are thrown simultaneously.Condition for event A : To get head and an odd number.Condition for event B : To get a head or tail and an even number. Condition for event C : Number on the upper face is greater than 7 and tail on the coin.
Answer» Write sample space ‘S’ and number of sample point n(S) for each of the following experiments. Also write events A, B, C in the set form and write n(A), n(B), n(C). (1) One die is rolled, Event A : Even number on the upper face. Event B : Odd number on the upper face. Event C : Prime number on the upper face. (2) Two dice are rolled simultaneously, Event A : The sum of the digits on upper faces is a multiple of 6. Event B : The sum of the digits on the upper faces is minimum 10. Event C : The same digit on both the upper faces. (3) Three coins are tossed simultaneously. Condition for event A : To get at least two heads. Condition for event B : To get no head. Condition for event C : To get head on the second coin. (4) Two digit numbers are formed using digits 0, 1, 2, 3, 4, 5 without repetition of the digits. Condition for event A : The number formed is even Condition for event B : The number formed is divisible by 3. Condition for event C : The number formed is greater than 50. (5) From three men and two women, environment committee of two persons is to be formed. Condition for event A : There must be at least one woman member. Condition for event B : One man, one woman committee to be formed. Condition for event C : There should not be a woman member. (6) One coin and one die are thrown simultaneously. Condition for event A : To get head and an odd number. Condition for event B : To get a head or tail and an even number. Condition for event C : Number on the upper face is greater than 7 and tail on the coin.

Discussion

10389.	What number should be added to x2+6x to make it a perfect square?
Answer» What number should be added to $x^{2} + 6 x$ to make it a perfect square?

Discussion

10390.	If tangents PA and PB from a point P to a circle with centre O are inclined each other an angle of 70o, then find ∠POA
Answer» If tangents PA and PB from a point P to a circle with centre O are inclined each other an angle of 70^o, then find ∠POA

Discussion

10391.	A boy is standing on the ground and flying a kite with 75m of string at an elevation of 45∘. Another boy is standing on the roof of a 25 m high building and is flying his kite at an elevation of 30∘. Both the boys are on opposite sides of the two kites.The minimum length of the string that the second boy must have so that the two kites meet is :
Answer» A boy is standing on the ground and flying a kite with 75m of string at an elevation of $45^{\circ}$ . Another boy is standing on the roof of a 25 m high building and is flying his kite at an elevation of $30^{\circ}$ . Both the boys are on opposite sides of the two kites.The minimum length of the string that the second boy must have so that the two kites meet is :

Discussion

10392.	35. If P is a point inside a scalene triangle ABC such that triangle APB, triangle BPC and triangle CPA have the same area, then P must be (1) incentre of triangle ABC (2) circumcenter of triangle ABC (3) centroid of triangle ABC (4) orthocentre of triangle ABC
Answer» 35. If P is a point inside a scalene triangle ABC such that triangle APB, triangle BPC and triangle CPA have the same area, then P must be (1) incentre of triangle ABC (2) circumcenter of triangle ABC (3) centroid of triangle ABC (4) orthocentre of triangle ABC

Discussion

10393.	There are two cones. The curved surface area of one is twice that of the other. The slant height of the latter is twice that of the former. The ratio of their radii is
Answer» There are two cones. The curved surface area of one is twice that of the other. The slant height of the latter is twice that of the former. The ratio of their radii is

Discussion

10394.	D, E, F are the midpoints of the sides BC, CA and AB respectively of △ ABC. Then △ DEF is congruent to triangle –
Answer» D, E, F are the midpoints of the sides BC, CA and AB respectively of $△$ ABC. Then $△$ DEF is congruent to triangle –

Discussion

10395.	Question 2 Write ‘True’ or ‘False’ and justify your answer in each of the following: The value of the expression (cos2 23∘−sin2 67∘) is positive.
Answer» Question 2 Write ‘True’ or ‘False’ and justify your answer in each of the following: The value of the expression $(c o s^{2} 23^{\circ} - s i n^{2} 67^{\circ})$ is positive.

Discussion

10396.	There are 121 articles in a bag. Out of which 11 are defective articles. If you just pick one article at random, (i)what is the probability of picking the non-defective article? (ii) If the article drawn the first time is non-defective and is not replaced, then find the probability of getting the defective article in the next draw.
Answer» There are 121 articles in a bag. Out of which 11 are defective articles. If you just pick one article at random, (i)what is the probability of picking the non-defective article? (ii) If the article drawn the first time is non-defective and is not replaced, then find the probability of getting the defective article in the next draw.

Discussion

10397.	If sec 4A = cosec (A – 15°), where 4A is acute then find ∠A.
Answer» If sec 4A = cosec (A – 15°), where 4A is acute then find ∠A.

Discussion

10398.

To find out the concentration of SO2 in the air (in parts per million, i.e., ppm), the data was collected for 30 localities in a certain city and is presented below: concentration of SO2 (in ppm) Frequency 0.00 − 0.04 4 0.04 − 0.08 9 0.08 − 0.12 9 0.12 − 0.16 2 0.16 − 0.20 4 0.20 − 0.24 2 Find the mean concentration of SO2 in the air.

Answer»

To find out the concentration of SO₂ in the air (in parts per million, i.e., ppm), the data was collected for 30 localities in a certain city and is presented below:

concentration of SO₂ (in ppm)	Frequency
0.00 − 0.04	4
0.04 − 0.08	9
0.08 − 0.12	9
0.12 − 0.16	2
0.16 − 0.20	4
0.20 − 0.24	2

Find the mean concentration of SO₂ in the air.

Discussion

10399.	Evaluate 1+ tan θ1+ cot θ, if sin θ = x and cos θ = y.
Answer» Evaluate $\frac{1 + t a n θ}{1 + c o t θ}$ , if sin θ = x and cos θ = y.

Discussion

10400.	A Sumo Wrestler wants to gain weight. He eats 5 Eggs on day 1. He increases the number by 3 on day 2. He repeats the same thing for 'n' number of days. If the total number of Eggs consumed by him in 'n' days is 185, find 'n'.
Answer» A Sumo Wrestler wants to gain weight. He eats 5 Eggs on day 1. He increases the number by 3 on day 2. He repeats the same thing for 'n' number of days. If the total number of Eggs consumed by him in 'n' days is 185, find 'n'.

Discussion

Explore topic-wise InterviewSolutions in .

If for each year, the states are ranked in terms of descending order of sales tax collections, then how many states don't change their ranking more than once over the five years?

Distance between the points (−x1,−y1) and (−x2,−y2) is given by

A bag contains 5 black, 4 green and 6 red balls. If a ball is drawn at random from the bag, find the probability that it will be: i) red ii) black iii) green [3 MARKS]

The graph below represents equations that have

Question 6A 1.5 m tall boy is standing at some distance from a 30 m tall building. The angle of elevation from his eyes to the top of the building increases from 30∘ to 60∘ as he walks towards the building. Find the distance he walked towards the building.

Arun was instructed to clap every time the count of the instructor reaches a multiple of 3. How many times did he clap when the count reached 63?___

If two chords AB, CD intersect each other at O and AO = 9 cm, BO = 4 cm, CO = 10+x cm, DO = 10−x cm. Fine the value of x.

A sphere of diameter 5 cm is dropped into a cylindrical vessel partly filled with water. The diameter of the base of the vessel is 10 cm. If the sphere is completely submerged, by how much will the level of water rise?

G H I J K L

If you are asked to construct △APQ ∼ △ABC with the scale factor 35, which of the following is incorrect? Given: In △ABC,AB=4cm, BC=3cm and ∠ABC=90∘. A1A2=A2A3=A3A4=A4A5.​​​​​​

If the height and radius of a cone of volume V are doubled, then the volume of the cone will be _____.

In TSA of spherical shell, why is it not needed to add 4π(r)^2 + 4π(R)^2? Why only 4π(R)^2 is written?

If y=1-x+x22!-x33!+x44! _________________, then d2ydx2 = __________________.

USE EUCLID DIVISON LEMMA TO SHOW THAT THE SQUAREOF ANY POSITIVE INTEGER IS EITHER OF THE FORM 3m or 3m+1or 3m+2 FOR SOME INTEGER m.

If you are asked to construct △APQ ∼ △ABC with the scale factor 35, which of the following is incorrect? Given: In △ABC,AB=4cm, BC=3cm and ∠ABC=90∘. A1A2=A2A3=A3A4=A4A5.​​​​​​

In the given figure, if ∠ABC=69∘ and ∠ACB=31∘. Then, enter the value of ∠BDC in degrees 80

19. Just a hair dryer for 5400 including 8% VAT .find the price before VAT was added

The line x + y = 10 divides line segment AB in the ratio a : 1. Find the value of a.

The areas of two similar triangles are 169 cm2 and 121 cm2 respectively. If the longest side of the larger triangle is 26 cm, find the longest side of the smaller triangle.

can a exponent be irrational ?

Factorise: x^3 +4x^2 +4x+1

The angle subtended by the diameter of a circle is

Verify that 2 and 1 and-½ are the zeros of polynomial p(x)= 2x³-5x²+x+2 and then verify the relationship between zeros and coefficients

Radius of a circle is 10 cm. Measure of an arc of the crcleis 54°. Find the area of the sector associated with the arc. ( π= 3.14 )

Prove the following trigonometric identities.(1 + cot2 A) sin2 A = 1

The probability of getting 53 Fridays in a leap year is .

Question 5The graph of the linear equation 2x + 3y = 6 cuts the y-axis at the point:A) (2, 0)B) (0, 3)C) (3, 0)D) (0, 2)

The angle of depression from the top of the building A to the tortoise is 60∘. The angle of elevation from the top of building A to the top of building B is 30∘. What is the ratio of the heights of building A is to building B? (Height of the tortoise is negligible.)

Construct an isosceles triangle ABC with BC= 6.2cm and altitude= 4.4cm.

If a square matrix A is such that det(A)=5 and det(2A)=640, then the order of A is [2 marks]

A hemispherical tank full of water is emptied by a pipe at the rate of 25/7 litres per second. How much time will it take to empty half the tank, if it is 3m in diameter? (Take π=227)

Three vrtices of a parallogram are (1,2,1),(2,5,6)&(1,6,0). Find the coordinate of the fourth vertex

If R be a relation &lt; from A={1,2,3,4} to B={1,3,5} i.e., (a,b) ∈ R ⇔ a&lt;b, then RoR−1 is

Write the linear equations in two variables for the given information :Five years from present, the age of Sachin will be three times that of his son. Five years ago, Sachin’s age was seven times that of his son.

Solve for x and y:xa-yb=0ax+by=a2+b2

What number should be added to x2+6x to make it a perfect square?

If tangents PA and PB from a point P to a circle with centre O are inclined each other an angle of 70o, then find ∠POA

35. If P is a point inside a scalene triangle ABC such that triangle APB, triangle BPC and triangle CPA have the same area, then P must be (1) incentre of triangle ABC (2) circumcenter of triangle ABC (3) centroid of triangle ABC (4) orthocentre of triangle ABC

There are two cones. The curved surface area of one is twice that of the other. The slant height of the latter is twice that of the former. The ratio of their radii is

D, E, F are the midpoints of the sides BC, CA and AB respectively of △ ABC. Then △ DEF is congruent to triangle –

Question 2 Write ‘True’ or ‘False’ and justify your answer in each of the following: The value of the expression (cos2 23∘−sin2 67∘) is positive.

If sec 4A = cosec (A – 15°), where 4A is acute then find ∠A.

Evaluate 1+ tan θ1+ cot θ, if sin θ = x and cos θ = y.

A Sumo Wrestler wants to gain weight. He eats 5 Eggs on day 1. He increases the number by 3 on day 2. He repeats the same thing for 'n' number of days. If the total number of Eggs consumed by him in 'n' days is 185, find 'n'.

If you are asked to construct △APQ ∼ △ABC with the scale factor 35, which of the following is incorrect? Given: In △ABC,AB=4cm, BC=3cm and ∠ABC=90∘. A1A2=A2A3=A3A4=A4A5.

If y=1-x+x22!-x33!+x44! _, then d2ydx2 = __.

If you are asked to construct △APQ ∼ △ABC with the scale factor 35, which of the following is incorrect? Given: In △ABC,AB=4cm, BC=3cm and ∠ABC=90∘. A1A2=A2A3=A3A4=A4A5.

If R be a relation < from A={1,2,3,4} to B={1,3,5} i.e., (a,b) ∈ R ⇔ a<b, then RoR−1 is