If the coordinates of a vartiable point P be `(t+(1)/(t), t-(1)/(t))`, where t is the variable quantity, then the locus of P is

If the coordinates of a variable point P are (acostheta,bsintheta), where theta is a variable quantity, then find the locus of Pdot

If the coordinates of a variable point P are (acostheta,bsintheta), where theta is a variable quantity, then find the locus of Pdot

Find the locus of a variable point (at^2, 2at) where t is the parameter.

Find the locus of a point whose coordinate are given by x = t+t^(2), y = 2t+1 , where t is variable.

Let normals to the parabola y^(2)=4x at variable points P(t_(1)^(2), 2t_(1)) and Q(t_(2)^(2), 2t_(2)) meet at the point R(t^(2) 2t) , then the line joining P and Q always passes through a fixed point (alpha, beta) , then the value of |alpha+beta| is equal to

The locus of a point represent by x=(a)/(2)((t+1)/(t)),y=(a)/(2)((t-1)/(t)) , where t=in R-{0} , is

A=(sqrt(1-t^2)+t, 0) and B=(sqrt(1-t^2)-t, 2t) are two variable points then the locus of mid-point of AB is

Let z=1-t+isqrt(t^2+t+2) , where t is a real parameter.the locus of the z in argand plane is

Let z=1-t+isqrt(t^2+t+2) , where t is a real parameter.the locus of the z in arg and plane is

The locus of the point ( (e^(t) +e^(-t))/( 2),(e^t-e^(-t))/(2)) is a hyperbola of eccentricity