Show that the point `(x, y)`, where `x=a+r cos theta, y = b + r sin theta`, lies on a circle for all values of `theta`.

Show that the point (x, y) , where x=5 cos theta, y=-3+5 sin theta , lies on a circle for all values of theta

If x=r cos theta,y=r sin theta, show that

The line (x-1) cos theta + (y-1) sin theta =1, for all values of theta touches the circle

prove that all lines represented by the equation : (2 cos theta + 3 sin theta) x + (3 cos theta - 5 sin theta) y- (5 cos theta - 2 sin theta) = 0 pass through a fixed point for all values of theta . Find the coordinates of that point.

If x = r cos theta, y = r sin theta, r =a(1+cos theta) then find (dy)/(dx)

Prove that : x cos theta + y sin theta = a and x sin theta - y cos theta = b are the parametric equations of a circle for all theta satisfying 0le thetalt2pi

Show that the normal at any point theta to the curve x=a cos theta+a theta sin theta,y=a sin theta-a theta cos theta is at a constant distance from the origin.

Show that : x=a cos theta - b sin theta and y = a sin theta + b cos theta , represent a circle where theta is the parameter.

Show that equations x=a cos theta + b sin theta, y = a sin theta - b cos theta represents a circle, wheter theta is a parameter.