Question

find the locus of P, if for all values of alpha, the coordinates of a moving point P is (9 cos alpha, 6 sin alpha)​

Answer 1

Answer :-

Locus of the point is (x²/81) + (y²/36) = 1

Step-by-step explanation :-

∅ Let P(h, k) be the required moving point.

∅ ATP :

h = 9 Cos α and k = 6 Sin α

∅ We get :

Cos α = h/9 and Sin α = k/6

∅ Cos²α + Sin²α = 1

(h/9)² + (k/6)² = 1

h²/81 + k²/36 = 1

∴ Locus of the point is (x²/81) + (y²/36) = 1