A general point on a curve is P(3+4costheta,2+4sintheta). Show that the locus of P is a circle and find the centre and radius

Answer 1

x = 3+4cosθ
y = 2+4sinθ

since cos^2θ + sin^2θ = 1,

(x-3)^2 + (y-2)^2 = 4^2