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)
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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
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