If ( ), then the maximum value of…

MATHEMATICS · Single correct · CBSE · Mathematics · Inverse Trigonometric Functions · Inverse Trigonometric Functions

Problem

If cos⁡−1xa−sin⁡−1yb=θ\cos^{-1}\frac{x}{a} - \sin^{-1}\frac{y}{b} = \theta ( a,b,≠0a, b, \neq 0 ), then the maximum value of b2x2+a2y2+2abxysin⁡θb^2x^2 + a^2y^2 + 2abxy \sin \theta equals (1) abab (2) (a+b)2(a+b)^2 (3) 2(a+b)22(a+b)^2 (4) a2b2a^2b^2

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