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$C o s^{- 1} (\frac{x}{a}) + C o s^{- 1} (\frac{y}{b}) = θ$ $t h e n$ $\frac{x^{2}}{a^{2}} - \frac{2 x y}{a b} \cos θ + \frac{y^{2}}{b^{2}} =$

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Correct option is A

cos-1xa+cos-1yb=θ ⇒cos-1xayb-1-xa21-yb2=θ ⇒xayb-1-xa21-yb2=cosθ ⇒xayb-cosθ=1-xa21-yb2 ⇒xayb-cosθ2=1-xa21-yb2 ⇒x2a2-2xyabcosθ+y2b2=1-cos2θ=sin2θ

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Cos−1xa+Cos−1yb=θ then x2a2−2xyabcosθ+y2b2=

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$C o s^{- 1} (\frac{x}{a}) + C o s^{- 1} (\frac{y}{b}) = θ$ $t h e n$ $\frac{x^{2}}{a^{2}} - \frac{2 x y}{a b} \cos θ + \frac{y^{2}}{b^{2}} =$