1

JEE Main 2016 (Online) 9th April Morning Slot

MCQ (Single Correct Answer)

+4

-1

If the tangent at a point P, with parameter t, on the curve x = 4t

^{2}+ 3, y = 8t^{3}−1,*t*$$ \in $$**R**, meets the curve again at a point Q, then the coordinates of Q are :2

JEE Main 2016 (Online) 9th April Morning Slot

MCQ (Single Correct Answer)

+4

-1

The minimum distance of a point on the curve y = x

^{2}−4 from the origin is :3

JEE Main 2016 (Offline)

MCQ (Single Correct Answer)

+4

-1

A wire of length $$2$$ units is cut into two parts which are bent respectively to form a square of side $$=x$$ units and a circle of radius $$=r$$ units. If the sum of the areas of the square and the circle so formed is minimum, then:

4

JEE Main 2016 (Offline)

MCQ (Single Correct Answer)

+4

-1

Consider :

f $$\left( x \right) = {\tan ^{ - 1}}\left( {\sqrt {{{1 + \sin x} \over {1 - \sin x}}} } \right),x \in \left( {0,{\pi \over 2}} \right).$$

f $$\left( x \right) = {\tan ^{ - 1}}\left( {\sqrt {{{1 + \sin x} \over {1 - \sin x}}} } \right),x \in \left( {0,{\pi \over 2}} \right).$$

A normal to $$y = $$ f$$\left( x \right)$$ at $$x = {\pi \over 6}$$ also passes through the point:

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

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