A. 1sq.inch/min
B. 2sq.inch/min
C. 3sq.inch/min
D. 4sq.inch/min
If an error of 0.01 cm is made while measuring the radius 5 cm of a circle, then the relative error in the area is
A particle is moving along a straight line according to the law s=16+48+t-t3. Then distance travelled by the particle before coming to rest at an instant is
The base radius of a cylindrical vessel full of oil is 30 cm. Oil is drawn at the rate of 27000 cubic cm per minute. The rate at which the level of oil is falling in the vessel is
The length of the sub tangent of the curve 2x2+3xy-2y2=8 at (2, 3) is
The equation of the tangent to the curve y(x+1) =4 at the point (2, 4/3) is
The value of a such that x3+3ax2+3a2x+b is increasing on R-{-a} are
The equation of the tangent to the curve y=x3+3x2-5 and which is perpendicular to y=2x-6y+1=0 is
The circumfernce of a circle is measured as 56 cm with error 0.02 cm. the percentage error in its area is
The difference of two positive numbers is 10. If the square of the greater exceeds twice the square of the smaller by maximum value then they are
The radius of the base of certain cone is increasing at the rate of 3 cm per minute and the altitude is decreasing at the rate of 4 cm per minute. The rate of change of the total surface of the cone when the radius is 7 cm and the altitude is 24 cm is