1

JEE Main 2018 (Offline)

MCQ (Single Correct Answer)

+4

-1

Out of Syllabus

If the curves y

^{2}= 6x, 9x^{2}+ by^{2}= 16 intersect each other at right angles, then the value of b is :2

JEE Main 2018 (Offline)

MCQ (Single Correct Answer)

+4

-1

Let $$f\left( x \right) = {x^2} + {1 \over {{x^2}}}$$ and $$g\left( x \right) = x - {1 \over x}$$,

$$x \in R - \left\{ { - 1,0,1} \right\}$$.

If $$h\left( x \right) = {{f\left( x \right)} \over {g\left( x \right)}}$$, then the local minimum value of h(x) is

$$x \in R - \left\{ { - 1,0,1} \right\}$$.

If $$h\left( x \right) = {{f\left( x \right)} \over {g\left( x \right)}}$$, then the local minimum value of h(x) is

3

JEE Main 2018 (Online) 15th April Morning Slot

MCQ (Single Correct Answer)

+4

-1

If a right circular cone, having maximum volume, is inscribed in a sphere of radius 3 cm, then the curved surface area (in cm

^{2}) of this cone is :4

JEE Main 2018 (Online) 15th April Morning Slot

MCQ (Single Correct Answer)

+4

-1

Out of Syllabus

If $$\beta $$ is one of the angles between the normals to the ellipse, x

^{2}+ 3y^{2}= 9 at the points (3 cos $$\theta $$, $$\sqrt 3 \sin \theta $$) and ($$-$$ 3 sin $$\theta $$, $$\sqrt 3 \,\cos \theta $$); $$\theta \in \left( {0,{\pi \over 2}} \right);$$ then $${{2\,\cot \beta } \over {\sin 2\theta }}$$ is equal to :Questions Asked from Application of Derivatives (MCQ (Single Correct Answer))

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