1.

If \[x{{\sin }^{3}}\alpha +y{{\cos }^{3}}\alpha =\sin \alpha \cos \alpha \] and \[x\sin \alpha -y\cos \alpha =0,\] then \[{{x}^{2}}+{{y}^{2}}=\] [WB JEE 1984]

A. -1
B. ±1
C. 1
D. None of these
Answer» D. None of these


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