The value of ‘a’ for which $a x^{2} + s i n^{- 1} (x^{2} - 2 x + 2) + c o s^{- 1} (x^{2} - 2 x + 2) = 0$ has a real solution is

\frac{π}{2}

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- \frac{π}{2}

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\frac{2}{π}

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- \frac{2}{π}

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Solution

The correct option is B $- \frac{π}{2}$
Clearly x = 1 is the only solution $\Rightarrow a + \frac{π}{2} = 0 \Rightarrow a = - \frac{π}{2}$

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