1

JEE Main 2019 (Online) 12th April Morning Slot

MCQ (Single Correct Answer)

+4

-1

If m is the minimum value of k for which the function f(x) = x$$\sqrt {kx - {x^2}} $$ is increasing in the interval [0,3]
and M is the maximum value of f in [0, 3] when k = m, then the ordered pair (m, M) is equal to :

2

JEE Main 2019 (Online) 12th April Morning Slot

MCQ (Single Correct Answer)

+4

-1

A 2 m ladder leans against a vertical wall. If the top of the ladder begins to slide down the wall at the rate
25 cm/sec, then the rate (in cm/sec.) at which the bottom of the ladder slides away from the wall on the
horizontal ground when the top of the ladder is 1 m above the ground is :

3

JEE Main 2019 (Online) 10th April Evening Slot

MCQ (Single Correct Answer)

+4

-1

A spherical iron ball of radius 10 cm is coated with a layer of ice of uniform thickness that melts at a rate of
50 cm

^{3}/min. When the thickness of the ice is 5 cm, then the rate at which the thickness (in cm/min) of the ice decreases, is :4

JEE Main 2019 (Online) 10th April Evening Slot

MCQ (Single Correct Answer)

+4

-1

Out of Syllabus

If the tangent to the curve $$y = {x \over {{x^2} - 3}}$$
, $$x \in \rho ,\left( {x \ne \pm \sqrt 3 } \right)$$, at a point ($$\alpha $$, $$\beta $$) $$ \ne $$ (0, 0) on it is parallel to the line
2x + 6y – 11 = 0, then :

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

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