Quantrex Academy Quantrex AcademyJEE Maths PYQs with solutions

Home · JEE Maths · Year-wise · 2025

JEE Mathematics 2025 previous year questions with solutions

507 JEE Mathematics questions from 2025 in the Quantrex bank. Featured questions below open unique solution pages. Browse by chapter on JEE Mathematics.

507 questions2025
1

Let R denote the set of all real numbers. Define the function f: R R by f( x )= array cc 2-2 x^2-x^2 1 x & if x 0 2 & if x=0 array . Then which one of the follo

JEE Advanced 2025 Application of Derivatives Solution View → 2

Let R denote the set of all real numbers. For a real number x , let [x] denote the greatest integer less than or equal to x . Let n denote a natural number. Mat

JEE Advanced 2025 Application of Derivatives Solution View → 3

Let R denote the set of all real numbers. Let f: R R be defined by f(x)= cases 6 x+ x 2 x+ x & if x 0 7 3 & if x=0 cases Then which of the following statements

JEE Advanced 2025 Application of Derivatives Solution View → 4

Let the function f(x)= x 3 + 3 x +3, x 0 be strictly increasing in (- , ₁ ) U ( ₂, ) and strictly decreasing in ( ₃, ₄ ) U ( ₄, ₅ ) . Then _ i =1 ^5 _ i ^2 is e

JEE Main 2025 Application of Derivatives Solution View → 5

Let f: R R be a polynomial function of degree four having extreme values at x=4 and x=5 . If _ x 0 f(x) x^2 =5 , then f(2) is equal to :

JEE Main 2025 Application of Derivatives Solution View → 6

Let x=-1 and x=2 be the critical points of the function f ( x )= x ^3+ ax ^2+ b _ c | x |+1, x 0 . Let m and M respectively be the absolute minimum and the abso

JEE Main 2025 Application of Derivatives Solution View → 7

Let a 0 . If the function f ( x )=6 x ^3-45 a x ^2+108 a ^2 x +1 attains its local maximum and minimum values at the points x₁ and x₂ respectively such that x₁

JEE Main 2025 Application of Derivatives Solution View → 8

Let f be a differentiable function on R such that f (2) = 1 , f^ (2)=4 . Let _ x 0 (f(2+x))^ 3 / x =e^ . Then the number of times the curve y=4 x^3-4 x^2-4( -7)

JEE Main 2025 Application of Derivatives Solution View → 9

The shortest distance between the curves y^2=8 x and x^2+y^2+12 y+35=0 is :

JEE Main 2025 Application of Derivatives Solution View → 10

Let f : R R be a function defined by f(x)= |x+2|-2| x | . If m is the number of points of local minima and n is the number of points of local maxima of f , then

JEE Main 2025 Application of Derivatives Solution View → 11

If the function f(x)=2 x^3-9 ax ^2+12 a ^2 x +1 , where a 0 , attains its local maximum and local minimum values at p and q , respectively, such that p ^2= q ,

JEE Main 2025 Application of Derivatives Solution View → 12

The sum of all local minimum values of the function f(x)= array lr 1-2 x, & x -1 1 3 (7+2|x|), & -1 x 2 11 18 (x-4)(x-5), & x 2 array . is

JEE Main 2025 Application of Derivatives Solution View → 13

Let (2,3) be the largest open interval in which the function f(x)=2 _ e (x-2)-x^2+a x+1 is strictly increasing and (b, c) be the largest open interval, in which

JEE Main 2025 Application of Derivatives Solution View → 14

A spherical chocolate ball has a layer of ice-cream of uniform thickness around it. When the thickness of the ice-cream layer is 1 cm , the ice-cream melts at t

JEE Main 2025 Application of Derivatives Solution View → 15

If the set of all values of a, for which the equation 5 x^3-15 x-a=0 has three distinct real roots, is the interval ( , ) , then -2 is equal to ______

JEE Main 2025 Application of Derivatives Solution View → 16

Let R denote the set of all real numbers. Then the area of the region (x, y) R R : x>0, y> 1 x , 5 x-4 y-1>0,4 x+4 y-17 <0 is

JEE Advanced 2025 Area Under Curves Solution View → 17

Let the area of the bounded region (x, y): 0 9 x y^2, y 3 x-6 be A. Then 6 A is equal to ________

JEE Main 2025 Area Under Curves Solution View → 18

If the area of the region ( x , y ): 1+ x ^2 y x +7,11-3 x is A , then 3 A is equal to

JEE Main 2025 Area Under Curves Solution View → 19

If the area of the region bounded by the curves (y=4- x^2 4 ) and (y= x-4 2 ) is equal to ( ), then (6 ) equals

JEE Main 2025 Area Under Curves Solution View → 20

If the area of the region (x, y):|x-5| y 4 x is A , then 3 A is equal to _____ .

JEE Main 2025 Area Under Curves Solution View → 21

The area of the region (x, y):|x-y| y 4 x is

JEE Main 2025 Area Under Curves Solution View → 22

The area of the region bounded by the curve y= |x|, x|x-2| , then x -axis and the lines x=-2 and x=4 is equal to _______ .

JEE Main 2025 Area Under Curves Solution View → 23

If the area of the region (x, y): |4-x^2 | y x^2, y 4, x 0 is ( 80 2 - ), , N , then + is equal to _______.

JEE Main 2025 Area Under Curves Solution View → 24

Let the area enclosed between the curves |y|=1-x^2 and x^2+y^2=1 be . If 9 = + ; , are integers, then the value of | - | equals.

JEE Main 2025 Area Under Curves Solution View →

Other years

2014 · 1182015 · 872016 · 882017 · 882018 · 1302019 · 3492020 · 1,1412021 · 6632022 · 6502023 · 7522024 · 6342026 · 509
All JEE Maths chapters →