Find the locus of the point of intersection of tangents to the circle `x=acostheta,y=asintheta` at the points whose parametric angles differ by `(i) pi/3, `

Find the locus of the point of intersection of tangents to the circle x=a cos theta,y=a sin theta at the points whose parametric angles differ by (i)(pi)/(3)

The locus of the point of intersection of tangents to the circle x=a cos theta, y=a sin theta at points whose parametric angles differ by pi//4 is

The loucs of the point of intersection of the tangents to the circle x=4 cos theta, y=4 sin theta at the points whose parametric angles differ by (pi)/3 is

The locus of the point of intersection of the tangents to the circle x=r cos theta, y=r sin theta at points whose parametric angles differ by pi//3 is

The locus of the point of intersection of tangents to the circles x=a cos theta, y = a sin theta at points whose parametric angle differs by pi//4 is