1

JEE Main 2019 (Online) 9th April Morning Slot

MCQ (Single Correct Answer)

+4

-1

Let S be the set of all values of x for which the
tangent to the curve

y = ƒ(x) = x

y = ƒ(x) = x

^{3}– x^{2}– 2x at (x, y) is parallel to the line segment joining the points (1, ƒ(1)) and (–1, ƒ(–1)), then S is equal to :2

JEE Main 2019 (Online) 9th April Morning Slot

MCQ (Single Correct Answer)

+4

-1

If the tangent to the curve, y = x

^{3}+ ax – b at the point (1, –5) is perpendicular to the line, –x + y + 4 = 0, then which one of the following points lies on the curve ?3

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 :4

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

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

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