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JEE Mathematics 2020 previous year questions with solutions

1,141 JEE Mathematics questions from 2020 in the Quantrex bank. Featured questions below open unique solution pages. Browse by chapter on JEE Mathematics.

1,141 questions2020
1

Let the function f : 0 , π → ℝ be defined by f θ = sin θ + cos θ 2 + sin θ - cos θ 4 . Suppose the function f has a lo

JEE Advanced 2020 Application of Derivatives Solution View → 2

Let a , b and λ be positive real numbers. Suppose P is an end point of the latus rectum of the parabola y 2 = 4 λ x , and suppose the ellipse x 2 a 2

JEE Advanced 2020 Application of Derivatives Solution View → 3

Consider all rectangles lying in the region x , y ∈ R × R : 0 ≤ x ≤ π 2   a n d   0 ≤ y ≤ 2 sin 2 x and havi

JEE Advanced 2020 Application of Derivatives Solution View → 4

For a polynomial g x with real coefficients, let m g denote the number of distinct real roots of g x . Suppose S is the set of polynomials with real coefficient

JEE Advanced 2020 Application of Derivatives Solution View → 5

The set of all real values λ for which the function f x = 1 - cos 2 x . λ + sin x , xε - π 2 , π 2 , has exactly one maxima and exactly

JEE Main 2020 Application of Derivatives Solution View → 6

For all twice differentiable functions f : R → R , with f 0 = f 1 = f ' 0 = 0 ,

JEE Main 2020 Application of Derivatives Solution View → 7

If the tangent to the curve, y = f x = x log e x , x > 0 at a point c , f c is parallel to the line-segment joining the points 1 , 0 and e , e ,then c is eq

JEE Main 2020 Application of Derivatives Solution View → 8

The position of a moving car at time t is given by f ( t ) = a t 2 + b t + c , t > 0 , where a , b and c are real numbers greater than 1 . Then the average

JEE Main 2020 Application of Derivatives Solution View → 9

Let A D and B C be two vertical poles at A   and   B respectively on a horizontal ground. If A D = 8 m , BC = 11 m , AB = 10 m ; then the distance (in

JEE Main 2020 Application of Derivatives Solution View → 10

If x = 1 is a critical point of the function f ( x ) = 3 x 2 + a x - 2 - a e x , then

JEE Main 2020 Application of Derivatives Solution View → 11

Which of the following points lies on the tangent to the curve x 4 e y + 2 y + 1 = 3 at the point ( 1 , 0 ) ?

JEE Main 2020 Application of Derivatives Solution View → 12

Let the functions f : R → R and g : R → R be defined by f x = e x − 1 − e − x − 1 and g x = 1 2 e x − 1 + e 1 −

JEE Advanced 2020 Area Under Curves Solution View → 13

The area (in sq. units) of the region enclosed by the curves y = x 2 - 1 and y = 1 - x 2 is equal to:

JEE Main 2020 Area Under Curves Solution View → 14

The area (in sq. units) of the region A = ( x , y ) : | x | + | y | ≤ 1 , 2 y 2 ≥ | x |

JEE Main 2020 Area Under Curves Solution View → 15

The area (in sq. units) of the region A = ( x , y ) : ( x - 1 ) [ x ] ≤ y ≤ 2 x , 0 ≤ x ≤ 2 , where [ t ] denotes the greatest integer f

JEE Main 2020 Area Under Curves Solution View → 16

The area (in sq. units) of the region x , y : 0 ≤ y ≤ x 2 + 1 , 0 ≤ y ≤ x + 1 , 1 2 ≤ x ≤ 2 is

JEE Main 2020 Area Under Curves Solution View → 17

Consider a region R = x , y ∈ R 2 : x 2 ≤ y ≤ 2 x . If a line y = α divides the area of region R into two equal parts, then which of the

JEE Main 2020 Area Under Curves Solution View → 18

Area (in sq. units) of the region outside x 2 + y 3 = 1 and inside the ellipse x 2 4 + y 2 9 = 1 is

JEE Main 2020 Area Under Curves Solution View → 19

Given: f x = x , 0 ≤ x < 1 2 1 2 , x = 1 2 1 - x , 1 2 < x ≤ 1 and g x = x - 1 2 2 , x ∈ R . Then, the area (in sq. units) of the regi

JEE Main 2020 Area Under Curves Solution View → 20

The area (in sq. units) of the region x ,   y ∈ R 2 : x 2 ≤ y ≤ 3 - 2 x , is.

JEE Main 2020 Area Under Curves Solution View → 21

The area (in sq. units) of the region x , y ∈ R 2 4 x 2 ≤ y ≤ 8 x + 12 is

JEE Main 2020 Area Under Curves Solution View → 22

The area of the region (in sq. units), enclosed by the circle x 2 + y 2 = 2 which is not common to the region bounded by the parabola y 2 = x and the straight l

JEE Main 2020 Area Under Curves Solution View → 23

The area bounded by the curves y = x - 1 2 , y = x + 1 2 and y = 1 4 is

NTA Abhyas JEE Main 2020 Area Under Curves Solution View → 24

A farmer F 1 has a land in the shape of a triangle with vertices at P ( 0, 0 ) , Q ( 1, 1 ) and R ( 2, 0 ) . From this land, a neighbouring farmer F 2 takes awa

NTA Abhyas JEE Main 2020 Area Under Curves Solution View →

Other years

2014 · 1182015 · 872016 · 882017 · 882018 · 1302019 · 3492021 · 6632022 · 6502023 · 7522024 · 6342025 · 5072026 · 509
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