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JEE Mathematics 2008 previous year questions with solutions

61 JEE Mathematics questions from 2008 in the Quantrex bank. Featured questions below open unique solution pages. Browse by chapter on JEE Mathematics.

61 questions2008
1

Let the function g:(- , ) (- 2 , 2 ) be given by g(u)=2 ⁻¹ (e^u )- 2 . Then, g is

JEE Advanced 2008 Application of Derivatives Solution View → 2

Paragraph: Consider the function f:(- , ) (- , ) defined by f(x)= x^2-a x+1 x^2+a x+1 ; 0 Question: Which of the following is true?

JEE Advanced 2008 Application of Derivatives Solution View → 3

Paragraph: Consider the function f:(- , ) (- , ) defined by f(x)= x^2-a x+1 x^2+a x+1 ; 0 Question: Let g(x)= ₀^ e^x f^ (t) 1+t^2 d t . Which of the following i

JEE Advanced 2008 Application of Derivatives Solution View → 4

The total number of local maxima and local minima of the function f(x)= array lc (2+x)^3 ; & -3 < x -1 x^ 2 3 ; & -1 < x < 2 array . is

JEE Advanced 2008 Application of Derivatives Solution View → 5

Let f(x) be a non-constant twice differentiable function defined on (- , ) , such that f(x)=f(1-x) and f^ ( 1 4 )=0 . Then,

JEE Advanced 2008 Application of Derivatives Solution View → 6

The area of the region between the curves y= 1+ x x and y= 1- x x bounded by the lines x=0 and x= 4 is

JEE Advanced 2008 Area Under Curves Solution View → 7

Paragraph: Consider the functions defined implicitly by the equation y^3-3 y+x=0 on various intervals in the real line. If x (- ,-2) (2, ) , the equation implic

JEE Advanced 2008 Area Under Curves Solution View → 8

The area of the plane region bounded by the curves x+2 y^2=0 and x+3 y^2=1 is equal to

JEE Main 2008 Area Under Curves Solution View → 9

Match the Statements/Expressions in Column I with the Statements/Expressions in Column II.

JEE Advanced 2008 Basics of Mathematics Solution View → 10

Statement - 1: For every natural number n 2, 1 1 + 1 2 + + 1 n > n . Statement -2 : For every natural number n 2, n(n+1) < n+1 .

JEE Main 2008 Basics of Mathematics Solution View → 11

Paragraph: A circle C of radius 1 is inscribed in an equilateral P Q R . The points of contact of C with the sides P Q, Q R, R P are D, E, F respectively. The l

JEE Advanced 2008 Circle Solution View → 12

The point diametrically opposite to the point P(1,0) on the circle x^2+y^2+2 x+4 y-3=0 is

JEE Main 2008 Circle Solution View → 13

A particle P starts from the point z₀=1+2 i , where i= -1 . It moves first horizontally away from origin by 5 units and then vertically away from origin by 3 un

JEE Advanced 2008 Complex Number Solution View → 14

Paragraph: Let A, B, C be three sets of complex numbers as defined below. A= z ; lm z 1 ; B= z:|z-2-i|=3 ; C= z: Re ((1-i) z)= 2 . Question: The number of eleme

JEE Advanced 2008 Complex Number Solution View → 15

Paragraph: Let A, B, C be three sets of complex numbers as defined below. A= z ; lm z 1 ; B= z:|z-2-i|=3 ; C= z: Re ((1-i) z)= 2 . Question: Let z be any point

JEE Advanced 2008 Complex Number Solution View → 16

Paragraph: Let A, B, C be three sets of complex numbers as defined below. A= z ; lm z 1 ; B= z:|z-2-i|=3 ; C= z: Re ((1-i) z)= 2 . Question: Let z be any point

JEE Advanced 2008 Complex Number Solution View → 17

Let f and g be real valued functions defined on interval (-1,1) such that g^ (x) is continuous, g(0) 0, g^ (0)=0, g^ (0) 0 and f(x)=g(x) x . Statement 1 _ x 0 [

JEE Advanced 2008 Continuity and Differentiability Solution View → 18

Let f(x)= array ll (x-1) ( 1 x-1 ), & if x 1 0, & if x=1 array . . Then which one of the following is true?

JEE Main 2008 Continuity and Differentiability Solution View → 19

Let S_n= _ k=0 ^n n n^2+k n+k^2 and T_n= _ k=0 ^ n-1 n n^2+k n+k^2 , for n=1,2,3, , then

JEE Advanced 2008 Definite Integration Solution View → 20

Paragraph: Consider the functions defined implicitly by the equation y^3-3 y+x=0 on various intervals in the real line. If x (- ,-2) (2, ) , the equation implic

JEE Advanced 2008 Definite Integration Solution View → 21

Consider the lines given by L₁: x+3 y-5=0, L₂: 3 x-k y-1=0, L₃: 5 x+2 y-12=0 Match the Statements/Expressions in Column I with the Statements/Expressions in Col

JEE Advanced 2008 Determinants Solution View → 22

Consider three planes P₁: x-y+z=1, P₂: x+y-z=-1 and P₃: x-3 y+3 z=2 Let L₁, L₂ and L₃ be the lines of intersection of the planes P₂ and P₃, P₃ and P₁, P₁ and P₂

JEE Advanced 2008 Determinants Solution View → 23

Consider the system of equations x-2 y+3 z=-1, x-3 y+4 z=1 and -x+y-2 z=k Statement 1 The system of equations has no solution for k 3 . Statement 2 The determin

JEE Advanced 2008 Determinants Solution View → 24

Let a, b, c be any real numbers. Suppose that there are real numbers x, y, z not all zero such that x=c y+b z, y=a z+c x and z=b x+a y . Then a^2+b^2+c^2+2 a b

JEE Main 2008 Determinants Solution View →

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