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JEE Mathematics 2026 previous year questions with solutions

509 JEE Mathematics questions from 2026 in the Quantrex bank. Featured questions below open unique solution pages. Browse by chapter on JEE Mathematics.

509 questions2026

Consider the function f: (0, ) (- , ) given by f(x) = x , _e(x) - x + 1 . Then which one of the following statements is TRUE?

JEE Advanced 2026 Application of Derivatives Solution View → 2

Let P be the point on the parabola y = x^2 such that the slope of the tangent to the parabola at the point P is 4 . Let Q be the point in the first quadrant lyi

JEE Advanced 2026 Application of Derivatives Solution View → 3

Let f: R R be a differentiable function such that f ( x+y 3 ) = f(x) + f(y) 3 for all x, y R , and f'(0) = 3 . Then the minimum value of the function g(x) = 3 +

JEE Main 2026 Application of Derivatives Solution View → 4

_ 0 x (16 ( x 2 ) ^3 ( x 2 ) ) is equal to:

JEE Main 2026 Application of Derivatives Solution View → 5

Let f(x) be a polynomial of degree 5 , and have extrema at x = 1 and x = -1 . If _ x 0 ( f(x) x^3 ) = -5 , then f(2) - f(-2) is equal to:

JEE Main 2026 Application of Derivatives Solution View → 6

The number of critical points of the function f(x) = cases | x x |, & x 0 1, & x = 0 cases in the interval (-2 , 2 ) is equal to :

JEE Main 2026 Application of Derivatives Solution View → 7

Let f be a differentiable function satisfying f(x)=1-2 x+ ₀^ x e ^ (x-t) f(t) dt , x R and let g (x)= ₀^ x (f( t )+2)¹⁵( t -4)⁶( t +12)¹⁷ dt , x R . If p and q

JEE Main 2026 Application of Derivatives Solution View → 8

Consider the following three statements for the function f:(0, ) R defined by f(x)= | _ e x |-|x-1| : (I) f is differentiable at all x>0 . (II) f is increasing

JEE Main 2026 Application of Derivatives Solution View → 9

Let (2 , ) be the largest interval in which the function f(t)= |t+1| t² , t 2 , is _ _ _ _

JEE Main 2026 Application of Derivatives Solution View → 10

Let f(x)=x²⁰²⁵-x²⁰⁰⁰, x [0,1] and the minimum value of the function f(x) in the interval [0,1] be (80)⁸⁰(n)⁻⁸¹ . Then n is equal to

JEE Main 2026 Application of Derivatives Solution View → 11

Let f: R R be a twice differentiable function such that f''(x) > 0 for all x R and f'(a-1) = 0 , where a is a real number. Let g(x) = f ( ²x - 2 x + a ), ; 0 Co

JEE Main 2026 Application of Derivatives Solution View → 12

Let f: R R be a twice differentiable function such that the quadratic equation f(x) m ²-2 f^ (x) m +f^ (x)=0 in m, has two equal roots for every x R . If f(0)=1

JEE Main 2026 Application of Derivatives Solution View → 13

Passage: Consider the curve C₁ given by y = e^ -x for x [0, 10 ] , and the curve C₂ given by y = e^ -x ( x + x) for x [0, 10 ] . Let n be the total number of po

JEE Advanced 2026 Area Under Curves Solution View → 14

Passage: Consider the ellipses given by x^2 + 4y^2 = 1 and 4x^2 + y^2 = 1 . Question: If is the area of the common region that lies inside both the given ellips

JEE Advanced 2026 Area Under Curves Solution View → 15

If the area of the region bounded by 16x^2 - 9y^2 = 144 and 8x - 3y = 24 is A, then 3(A + 6 _e(3)) is equal to _______.

JEE Main 2026 Area Under Curves Solution View → 21

Let P₁: y=4 x² and P₂: y=x²+27 be two parabolas. If the area of the bounded region enclosed between P₁ and P₂ is six times the area of the bounded region enclos

JEE Main 2026 Area Under Curves Solution View → 22

The area of the region R = (x, y): x y 8,1 y x², x 0 is

JEE Main 2026 Area Under Curves Solution View → 23

Let f( ) denote the area of the region in the first quadrant bounded by x=0, x=1, y²=x and y=| x-5|-|1- x|+ x² . Then (f(0)+f(1)) is equal to

JEE Main 2026 Area Under Curves Solution View → 24

Let A ₁ be the bounded area enclosed by the curves y=x²+2, x+y=8 and y -axis that lies in the first quadrant. Let A ₂ be the bounded area enclosed by the curves

JEE Main 2026 Area Under Curves Solution View →

Other years

2014 · 118 2015 · 87 2016 · 88 2017 · 88 2018 · 130 2019 · 349 2020 · 1,141 2021 · 663 2022 · 650 2023 · 752 2024 · 634 2025 · 507

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JEE Mathematics 2026 previous year questions with solutions

Consider the function f: (0, ) (- , ) given by f(x) = x , _e(x) - x + 1 . Then which one of the following statements is TRUE?

Let P be the point on the parabola y = x^2 such that the slope of the tangent to the parabola at the point P is 4 . Let Q be the point in the first quadrant lyi

Let f: R R be a differentiable function such that f ( x+y 3 ) = f(x) + f(y) 3 for all x, y R , and f'(0) = 3 . Then the minimum value of the function g(x) = 3 +

_ 0 x (16 ( x 2 ) ^3 ( x 2 ) ) is equal to:

Let f(x) be a polynomial of degree 5 , and have extrema at x = 1 and x = -1 . If _ x 0 ( f(x) x^3 ) = -5 , then f(2) - f(-2) is equal to:

The number of critical points of the function f(x) = cases | x x |, & x 0 1, & x = 0 cases in the interval (-2 , 2 ) is equal to :

Let f be a differentiable function satisfying f(x)=1-2 x+ ₀^ x e ^ (x-t) f(t) dt , x R and let g (x)= ₀^ x (f( t )+2)¹⁵( t -4)⁶( t +12)¹⁷ dt , x R . If p and q

Consider the following three statements for the function f:(0, ) R defined by f(x)= | _ e x |-|x-1| : (I) f is differentiable at all x>0 . (II) f is increasing

Let (2 , ) be the largest interval in which the function f(t)= |t+1| t² , t 2 , is _ _ _ _

Let f(x)=x²⁰²⁵-x²⁰⁰⁰, x [0,1] and the minimum value of the function f(x) in the interval [0,1] be (80)⁸⁰(n)⁻⁸¹ . Then n is equal to

Let f: R R be a twice differentiable function such that f''(x) > 0 for all x R and f'(a-1) = 0 , where a is a real number. Let g(x) = f ( ²x - 2 x + a ), ; 0 Co

Let f: R R be a twice differentiable function such that the quadratic equation f(x) m ²-2 f^ (x) m +f^ (x)=0 in m, has two equal roots for every x R . If f(0)=1

Passage: Consider the curve C₁ given by y = e^ -x for x [0, 10 ] , and the curve C₂ given by y = e^ -x ( x + x) for x [0, 10 ] . Let n be the total number of po

Passage: Consider the ellipses given by x^2 + 4y^2 = 1 and 4x^2 + y^2 = 1 . Question: If is the area of the common region that lies inside both the given ellips

The area of the region (x, y) : x^2 - 8x y -x is :

The area of the region (x, y) : 0 y 6 - x, y^2 4x - 3, x 0 is:

The area of the region R = (x, y): xy 27, 1 y x^2 is equal to:

The area of the region bounded by the curves x+3y^2=0 and x+4y^2=1 is equal to:

The area of the region (x, y): y - |x|, y |x x|, y 0 is:

If the area of the region bounded by 16x^2 - 9y^2 = 144 and 8x - 3y = 24 is A, then 3(A + 6 _e(3)) is equal to _______.

Let P₁: y=4 x² and P₂: y=x²+27 be two parabolas. If the area of the bounded region enclosed between P₁ and P₂ is six times the area of the bounded region enclos

The area of the region R = (x, y): x y 8,1 y x², x 0 is

Let f( ) denote the area of the region in the first quadrant bounded by x=0, x=1, y²=x and y=| x-5|-|1- x|+ x² . Then (f(0)+f(1)) is equal to

Let A ₁ be the bounded area enclosed by the curves y=x²+2, x+y=8 and y -axis that lies in the first quadrant. Let A ₂ be the bounded area enclosed by the curves

Other years