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The value of 'a' for which
$a x^{2} + \sin^{- 1} (x^{2} - 2 x + 2) + \cos^{- 1} (x^{2} - 2 x + 2) = 0$ has a real
solution, is

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detailed solution

Correct option is B

We have,x2−2x+2=(x−1)2+1≥1.So, the given equation is meaningful for x = 1.Putting x = 1, we havea+sin−1⁡(1)+cos−1⁡(1)=0⇒a=−π2

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The value of 'a' for whichax2+sin−1⁡x2−2x+2+cos−1⁡x2−2x+2=0 has a realsolution, is

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The value of 'a' for which
$a x^{2} + \sin^{- 1} (x^{2} - 2 x + 2) + \cos^{- 1} (x^{2} - 2 x + 2) = 0$ has a real
solution, is