The length of the sub tangent   of the curve y²=x³/2a-x at (a, a) is

The length of the sub normal to the curve y²=4ax at any point

The point on the curve x²+y²-2x-3=0 at which the tangent is parallel to x-axis is

The equation of the tangent to the curve 2x²-xy+3y2=18 at (3, 1) is

If there is an error of 0.02 cm in the measurement of the side 10 cm of a cube, then error in the surface area is

The side of an equilateral triangle increases at the uniform rate 0.05 cm/sec. the rate of increase in the area of the triangle when the side is 20 cm is

The equation of the normal to the curve 2x²-xy+3y²=18 at (3, 1) is

The length of the normal of the curve y²=x³/2a-x at (a, a) is

If h is the height of the maximum cone inscribed in a sphere of radius r then h:r=

The radius and height of a cylinder are measured as 5 cm and 10 cm respectively and there is an error of 0.02 cm in both the measurements. The approximate error in the volume of the cone is