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JEE Mathematics 2024 previous year questions with solutions

634 JEE Mathematics questions from 2024 in the Quantrex bank. Featured questions below open unique solution pages. Browse by chapter on JEE Mathematics.

634 questions2024
1

Let the function f: R R be defined by f(x)= x e^ x (x²⁰²³+2024 x+2025 ) (x^2-x+3 ) + 2 e^ x (x²⁰²³+2024 x+2025 ) (x^2-x+3 ) . Then the number of solutions of f(

JEE Advanced 2024 Application of Derivatives Solution View → 2

Let the set of all values of p , for which f(x)= (p^2-6 p+8 ) ( ^2 2 x- ^2 2 x )+2(2-p) x+7 does not have any critical point, be the interval (a, b) . Then 16 a

JEE Main 2024 Application of Derivatives Solution View → 3

A variable line L passes through the point (3,5) and intersects the positive coordinate axes at the points A and B . The minimum area of the triangle OAB , wher

JEE Main 2024 Application of Derivatives Solution View → 4

Let the set of all positive values of , for which the point of local minimum of the function (1+x ( ^2-x^2 ) ) satisfies x^2+x+2 x^2+5 x+6 < 0 , be ( , ) . Then

JEE Main 2024 Application of Derivatives Solution View → 5

If the function f(x)=2 x^3-9 x^2+12 a ^2 x+1, a >0 has a local maximum at x= and a local minimum at x= ^2 , then and ^2 are the roots of the equation :

JEE Main 2024 Application of Derivatives Solution View → 6

Let A be the region enclosed by the parabola y^2=2 x and the line x=24 . Then the maximum area of the rectangle inscribed in the region A is________

JEE Main 2024 Application of Derivatives Solution View → 7

For the function f(x)=( x)-x+1, x R , between the following two statements (S1) f(x)=0 for only one value of x in [0, ] . (S2) f(x) is decreasing in [0, 2 ] and

JEE Main 2024 Application of Derivatives Solution View → 8

Let f(x)=4 ^3 x+3 3 ^2 x-10 . The number of points of local maxima of f in interval (0,2 ) is

JEE Main 2024 Application of Derivatives Solution View → 9

The number of critical points of the function f(x)=(x-2)^ 2 / 3 (2 x+1) is

JEE Main 2024 Application of Derivatives Solution View → 10

If the function f(x)= ( 1 x )^ 2 x ; x>0 attains the maximum value at x= 1 e then :

JEE Main 2024 Application of Derivatives Solution View → 11

The interval in which the function f(x)=x^x, x>0 , is strictly increasing is

JEE Main 2024 Application of Derivatives Solution View → 12

Let the maximum and minimum values of ( 8 x-x^2-12 -4 )^2+(x-7)^2, x R be M and m , respectively. Then M ^2- m ^2 is equal to _________

JEE Main 2024 Application of Derivatives Solution View → 13

Let a rectangle A B C D of sides 2 and 4 be inscribed in another rectangle P Q R S such that the vertices of the rectangle A B C D lie on the sides of the recta

JEE Main 2024 Application of Derivatives Solution View → 14

For the function f(x)= x+3 x- 2 (x^2+x ), where x [0, 2 ], consider the following two statements : (I) f is increasing in (0, 2 ) . (II) f^ is decreasing in (0,

JEE Main 2024 Application of Derivatives Solution View → 15

Let f(x)=3 x-2 + 4-x be a real valued function. If and are respectively the minimum and the maximum values of f , then ^2+2 ^2 is equal to

JEE Main 2024 Application of Derivatives Solution View → 16

Let f: R R be a thrice differentiable function such that f(0)=0, f(1)=1, f(2)=-1, f(3)=2 and f(4)=-2 . Then, the minimum number of zeros of (3 f^ f^ +f f^ )(x)

JEE Main 2024 Application of Derivatives Solution View → 17

If 5 f x + 4 f 1 x = x 2 − 2 , ∀ x ≠ 0 and y = 9 x 2 f x , then y is strictly increasing in:

JEE Main 2024 Application of Derivatives Solution View → 18

Let f x = x + 3 2 x - 2 3 , x ∈ [ - 4 , 4 ] . If M and m are the maximum and minimum values of f , respectively in [ - 4 , 4 ] , then the value of M - m is :

JEE Main 2024 Application of Derivatives Solution View → 19

Let g : R → R be a non constant twice differentiable such that g ' 1 2 = g ' 3 2 . If a real valued function f is defined as f ( x ) = 1 2 [ g ( x ) + g ( 2 - x

JEE Main 2024 Application of Derivatives Solution View → 20

The function f x = 2 x + 3 x 2 3 , x ∈ R , has

JEE Main 2024 Application of Derivatives Solution View → 21

The function f x = x x 2 - 6 x - 16 , x ∈ ℝ - - 2 , 8

JEE Main 2024 Application of Derivatives Solution View → 22

Let g ( x ) = 3 f x 3 + f ( 3 - x ) and f " ( x ) > 0 for all x ∈ ( 0 , 3 ) . If g is decreasing in ( 0 , α ) and increasing in ( α , 3 ) , then 8 α is

JEE Main 2024 Application of Derivatives Solution View → 23

Let S= (x, y) R R : x 0, y 0, y^2 4 x, y^2 12-2 x . and .3 y+ 8 x 5 8 . If the area of the region S is 2 , then is equal to

JEE Advanced 2024 Area Under Curves Solution View → 24

The area (in square units) of the region enclosed by the ellipse x^2+3 y^2=18 in the first quadrant below the line y=x is

JEE Main 2024 Area Under Curves Solution View →

Other years

2014 · 1182015 · 872016 · 882017 · 882018 · 1302019 · 3492020 · 1,1412021 · 6632022 · 6502023 · 7522025 · 5072026 · 509
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