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A man high walks at a uniform speed away from a lamp post high. The rate at which the length of his shadow increases is
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Important Questions on Basic Mathematics
EASY
JEE Main
IMPORTANT
A ladder in length is resting against vertical wall. The bottom of the ladder is pulled along the ground away from the wall at the rate of . The length of the highest point of the ladder when the foot of the ladder away from the wall decreases at the rate of
EASY
JEE Main
IMPORTANT
If by dropping a stone in a quiet lake a wave moves in circle at a speed of then the rate of increase of the enclosed circular region when the radius of the circular wave is is
EASY
JEE Main
IMPORTANT
A ladder is resting with the wall at an angle of A man is ascending the ladder at the rate of . His rate of approaching the wall is
EASY
JEE Main
IMPORTANT
If the edge of a cube increases at the rate of , at what rate the volume is increasing when the edge is ?
MEDIUM
JEE Main
IMPORTANT
If the rate of increase of the area of a circle is not constant but the rate of increase of perimeter is constant, then the rate of increase of area varies
MEDIUM
JEE Main
IMPORTANT
The sides of an equilateral triangle are increasing at a rate of . The rate at which the area increases, when the side is is
HARD
JEE Main
IMPORTANT
A spherical iron ball in radius is coated with a layer of ice of uniform thickness that melts at a rate of . When the thickness of ice is, then the rate at which the thickness of ice decreases, is
MEDIUM
JEE Main
IMPORTANT
A spherical balloon is being inflated at a rate of . The rate of increase of the surface area of the balloon when its diameter is is
