1

JEE Main 2019 (Online) 8th April Evening Slot

MCQ (Single Correct Answer)

+4

-1

Given that the slope of the tangent to a curve y
= y(x) at any point (x, y) is
$$2y \over x^2$$. If the curve passes through the centre of the circle x

^{2}+ y^{2}– 2x – 2y = 0, then its equation is :2

JEE Main 2019 (Online) 8th April Evening Slot

MCQ (Single Correct Answer)

+4

-1

The height of a right circular cylinder of maximum
volume inscribed in a sphere of radius 3 is

3

JEE Main 2019 (Online) 8th April Morning Slot

MCQ (Single Correct Answer)

+4

-1

If S

ƒ(x) = 9x

_{1}and S_{2}are respectively the sets of local minimum and local maximum points of the function,ƒ(x) = 9x

^{4}+ 12x^{3}– 36x^{2}+ 25, x $$ \in $$ R, then :4

JEE Main 2019 (Online) 8th April Morning Slot

MCQ (Single Correct Answer)

+4

-1

Let ƒ : [0, 2] $$ \to $$ R be a twice differentiable
function such that ƒ''(x) > 0, for all x $$ \in $$ (0, 2).
If $$\phi $$(x) = ƒ(x) + ƒ(2 – x), then $$\phi $$ is :

Questions Asked from Application of Derivatives (MCQ (Single Correct Answer))

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