Find locus of curve defined by `x=a cos theta, y=b sin theta`

Find locus of points given by x=a cos^(2)theta,y=b sin^(2)theta

The equation of tangent to the curve given by x = 3 cos theta , y = 3 sin theta , at theta = (pi)/(4) is

Write the equation of the curve from the given relation x=a cos theta,y=b sin theta

Find the normal to the curve x=a(1+cos theta),y=a sin theta at theta. Prove that it always passes through a fixed point and find that fixed point.

Find the equation of the normal to the curve x=a cos theta and y=b sin theta at theta

If the coordinates of a variable point P be (a cos theta, b sin theta) , where theta is a variable quantity, find the locus of P .

The equation of normal at any point o to the curve x=a cos theta+a sin theta,y=a sin theta-a cos theta is always at a distance of

x=a cos theta,y=b sin theta then find dy/dx

Find the Cartesian equation of the curves whose parametric equation are : x=5 cos theta, y = 5 sin theta

Find the equation of normal to the curve x = a cos^(3)theta, y=b sin^(3) theta" at point "'theta'.