A curve is given by the equations `x=sec^2theta,y=cotthetadot` If the tangent at `Pw h e r etheta=pi/4` meets the curve again at `Q ,t h e n[P Q]` is, where [.] represents the greatest integer function, _________.

A curve is represented by the equations x=sec^(2)t and y=cot t, where t is a parameter.If the tangent at the point P on the curve where t=(pi)/(4) meets the curve again at the point Q, then |PQ| is equal to (5sqrt(3))/(2) (b) (5sqrt(5))/(2) (c) (2sqrt(5))/(3) (d) (3sqrt(5))/(2)

If the tangent at (1,1) on y^(2)=x(2-x)^(2) meets the curve again at P, then find coordinates of P.

Evaluate: int_(-100)^(100)[tan^(-1)x]dx ,w h e r e[x] represents greatest integer function.

Tangent at (2,8) on the curve y=x^(3) meets the curve again at Q.Find the coordinates of Q .

Tangent at P(2,8) on the curve y=x^(3) meets the curve again at Q.Find coordinates of Q.