A. πsq.cm/sec
B. 0.05πsq.cm/sec
C. 0.2πsq.cm/sec
D. 3πsq.cm/sec
A particle moves on a line according to the law s=at2+bt+c. if the displacement after one second is 16 cm, the velocity after 2 second is 24 cm/sec and the acceleration is 8 cm /sec2, then (a, b, c)=
A rectangular vessel is of 2mt long 0.5mt breadth and 1mt deep. If water flows in at the rate of 900 cubic cm per sec, than the rate of increase of water level when 25 cm deep is
The sum of the length of the sub tangents and subnormal at θ=π/3 on the cycloid x=a(θ-sinθ), y=a(1-cosθ) is
A stone is dropped into a quiet pond and waves move in circles outward from the place where it strikes, at a speed of 30 cm per second. At the instant when the radius of the wave ring is 50 mt, the rate increase in the circumference of the wave ring is
The angle A ofABC is found by measurement to be 630 an the area is calculated by the formula 1/2bc sin A. the percentage error in the calculated value of the area due to an error of 15 minutes in the measured value of A is
A line segment of length 10 cm is divided into two parts and a rectangle is formed with these as adjacent sides, then the dimensions of the rectangle in order that its area is maximum is
If the tangent at any point on the curve x4+y4=a4 cuts off intercepts p and q on the coordinates axes then p-4/3+q-4/3=
If the rate of change of the side of a square is 0.05 cm/sec, then the rate of change in the area of the square when the side is 10 cm is
The length of the subnormal to the curve 2x2+3xy-2y2=8 at (2, 3) is
Water is being poured into the inverted conical vessel at the rate of 1.5 cubic meter per minute. Its depth is always equal to twice its radius. The level of water is rising at the rate of 3/8π meter per minute when its depth is