The displacement of a body of mass 100kg in a rectilinear motion is given by the formula s=2t²+3t+1. The K.E of the body 5 sec after the start is

If the slope of the tangent to the curve xy+ax=by at (1, 1) is 2, then (a, b)

The function f(x)=a sin x+1/3x has maximum value at x =π/3. The value of a is

The portion of the tangent drawn at any point on x^2/3+y^2/3=a^2/3 (a>0), except the points on the coordinate axes, included between the coordinate axes is

The length of the tangent of the curve 2x²+3xy-2y²=8 at (2, 3) is

The stationary point of f(x)=2x³-9x²+12x-3 is

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