If a point (α, β) lies on  the circle x2+y2=1then the locus of the point ( 3a + 2, P), (3α+2, β), is

Let h=3α+2 and k=β. Then,α=13−2 and β=k∵ (x,15) lies on the circle x2+y2=1∴ a2+β2=1⇒h−232+k2=1Hence, locus of (h, k) is (x−2)29+y2=1,  which is an ellipse.