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JEE Mathematics 2016 previous year questions with solutions

88 JEE Mathematics questions from 2016 in the Quantrex bank. Featured questions below open unique solution pages. Browse by chapter on JEE Mathematics.

88 questions2016
1

The least value of α ∈ R for which, 4 α x 2 + 1 x ≥ 1 , for all x > 0 , is

JEE Advanced 2016 Application of Derivatives Solution View → 2

The total number of distinct x ∈ 0 , 1 for which, ∫ 0 x t 2 1 + t 4 d t = 2 x - 1 is

JEE Advanced 2016 Application of Derivatives Solution View → 3

Area of the region x , y ∈ R 2 : y ≥ x + 3 , 5 y ≤ x + 9 ≤ 15 is equal to

JEE Advanced 2016 Area Under Curves Solution View → 4

The area (in sq. units) of the region described by A = x , y | y ≥ x 2 - 5 x + 4 , x + y ≥ 1 , y ≤ 0 is

JEE Main 2016 Area Under Curves Solution View → 5

The area (in sq . units ) of the region x , y : y 2 ≥ 2 x and x 2 + y 2 ≤ 4 x , x ≥ 0 , y ≥ 0 is

JEE Main 2016 Area Under Curves Solution View → 6

Let m be the smallest positive integer such that the coefficient of x 2 in the expansion of 1 + x 2 + 1 + x 3 + … + 1 + x 49 + 1 + m x 50 is 3 n + 1 51 C

JEE Advanced 2016 Binomial Theorem Solution View → 7

Let RS be the diameter of the circle x 2 + y 2 = 1 where, S is the point ( 1 , 0 ) . Let P be a variable point (other than R & S ) on the circle and tangent

JEE Advanced 2016 Circle Solution View → 8

The circle C 1 : x 2 + y 2 = 3 , with centre at O, intersects the parabola x 2 = 2 y at the point P in the first quadrant. Let the tangent to the circle C 1 at

JEE Advanced 2016 Circle Solution View → 9

Equation of the tangent to the circle, at the point 1 , - 1 , whose center, is the point of intersection of the straight lines x - y = 1 and 2 x + y = 3 is:

JEE Main 2016 Circle Solution View → 10

A circle passes through - 2 , 4 and touches the y - axis at 0 , 2 . Which one of the following equations can represent a diameter of this circle ?

JEE Main 2016 Circle Solution View → 11

The centres of those circles which touch the circle, x 2 + y 2 - 8 x - 8 y - 4 = 0 , externally and also touch the x - axis, lie on

JEE Main 2016 Circle Solution View → 12

If one of the diameters of the circle, given by the equation, x 2 + y 2 - 4 x + 6 y - 12 = 0 , is a chord of a circle S , whose centre is at - 3 , 2 , then the

JEE Main 2016 Circle Solution View → 13

Let a , b ∈ R and a 2 + b 2 ≠ 0 . Suppose S = z ∈ C : z = 1 a + i b t , t ∈ R , t ≠ 0 , where i = - 1 . If z = x + i y and z &#871

JEE Advanced 2016 Complex Number Solution View → 14

Let z = 1 + a i , be a complex number, a > 0 , such that z 3 is a real number. Then, the sum 1 + z + z 2 + … . + z 11 is equal to :

JEE Main 2016 Complex Number Solution View → 15

The point represented by 2 + i in the Argand plane moves 1 unit eastwards, then 2 units northwards and finally from there 2 2 units in the south-west wards dire

JEE Main 2016 Complex Number Solution View → 16

Let a , b ∈ R and f : R → R be defined by f x = a cos ⁡ x 3 - x + b x sin ⁡ x 3 + x . Then f is -

JEE Advanced 2016 Continuity and Differentiability Solution View → 17

Let f : - 1 2 , 2 → R and g : - 1 2 , 2 → R be functions defined by f x = x 2 - 3 and g x = x f x + 4 x - 7 f x , where y denotes the greatest integ

JEE Advanced 2016 Continuity and Differentiability Solution View → 18

Let a , b ∈ R , a ≠ 0 . If the function f , defined as f x = 2 x 2 a , 0 ≤ x < 1 a , 1 ≤ x < 2 2 b 2 - 4 b x 3 , 2 ≤ x &#6

JEE Main 2016 Continuity and Differentiability Solution View → 19

If the function f x = - x , x < 1 a + cos - 1 ⁡ x + b , 1 ≤ x ≤ 2 is differentiable at x = 1 , then a b is equal to

JEE Main 2016 Continuity and Differentiability Solution View → 20

For x ∈ R , f x = log ⁡ 2 - sin ⁡ x and g x = f f x , then

JEE Main 2016 Continuity and Differentiability Solution View → 21

The value of ∫ - π 2 π 2 x 2 cos ⁡ x 1 + e x d x is equal to

JEE Advanced 2016 Definite Integration Solution View → 22

Let a , λ , u ∈ R . Consider the system of linear equations a x + 2 y = λ 3 x - 2 y = μ Which of the following statement(s) is (are) correc

JEE Advanced 2016 Determinants Solution View → 23

The total number of distinct x ∈ R for which x x 2 1 + x 3 2 x 4 x 2 1 + 8 x 3 3 x 9 x 2 1 + 27 x 3 = 10 is

JEE Advanced 2016 Determinants Solution View → 24

The number of distinct real roots of the equation, cos x sin x sin x sin x cos x sin x sin x sin x cos x = 0 in the interval - π 4 , π 4 is :

JEE Main 2016 Determinants Solution View →

Other years

2014 · 1182015 · 872017 · 882018 · 1302019 · 3492020 · 1,1412021 · 6632022 · 6502023 · 7522024 · 6342025 · 5072026 · 509
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