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

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 .

The centre of the circle x=2+3 cos theta, y=3 sin theta-1 , is

Show that the line (x-2)costheta+(y-2)sintheta=1 touches a circle for all values of theta .Find the circle.

Let x= cos theta and y = sin theta for any real value theta . Then x^(2)+y^(2)=

If sin7theta=cos5 theta , then general value of theta is:

If x = 4 + 5cos theta and y = 3 + 5 sin theta , show that the locus of the point (x, y) as theta varies, is a circle. Find the centre and radius of the circle.

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.

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 pass through a fixed point for all theta What are the coordinates of this fixed point ?

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.

If x +y= 3-cos4theta and x-y=4sin2theta then