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$If \cos^{- 1} x + \cos^{- 1} y = \frac{π}{2} and \tan^{- 1} x - \tan^{- 1} y = 0$ , then x² + xy + y², is equal to

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Correct option is C

∵tan−1⁡x−tan−1⁡y=0⇒x=y Also, cos−1⁡x+cos−1⁡y=π2 ⇒2cos−1⁡x=π2⇒cos−1⁡x=π4⇒x=12⇒x2=12 Hence, x2+xy+y2=3x2=32

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If cos−1⁡x+cos−1⁡y=π2 and tan−1⁡x−tan−1⁡y=0, then x2 + xy + y2, is equal to

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$If \cos^{- 1} x + \cos^{- 1} y = \frac{π}{2} and \tan^{- 1} x - \tan^{- 1} y = 0$ , then x² + xy + y², is equal to