1

JEE Main 2016 (Online) 10th April Morning Slot

MCQ (Single Correct Answer)

+4

-1

Let f(x) = sin

^{4}x + cos^{4}x. Then*f*is an increasing function in the interval :2

JEE Main 2016 (Online) 10th April Morning Slot

MCQ (Single Correct Answer)

+4

-1

Out of Syllabus

Let C be a curve given by y(x) = 1 + $$\sqrt {4x - 3} ,x > {3 \over 4}.$$ If P is a point
on C, such that the tangent at P has slope $${2 \over 3}$$, then a point through which the normal at P passes, is :

3

JEE Main 2016 (Online) 10th April Morning Slot

MCQ (Single Correct Answer)

+4

-1

The integral $$\int {{{dx} \over {\left( {1 + \sqrt x } \right)\sqrt {x - {x^2}} }}} $$ is equal to :

(where C is a constant of integration.)

(where C is a constant of integration.)

4

JEE Main 2016 (Online) 10th April Morning Slot

MCQ (Single Correct Answer)

+4

-1

The value of the integral

$$\int\limits_4^{10} {{{\left[ {{x^2}} \right]dx} \over {\left[ {{x^2} - 28x + 196} \right] + \left[ {{x^2}} \right]}}} ,$$

where [x] denotes the greatest integer less than or equal to x, is :

$$\int\limits_4^{10} {{{\left[ {{x^2}} \right]dx} \over {\left[ {{x^2} - 28x + 196} \right] + \left[ {{x^2}} \right]}}} ,$$

where [x] denotes the greatest integer less than or equal to x, is :

Paper analysis

Total Questions

Chemistry

30

Mathematics

30

Physics

30

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