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The values of 'a' for which x^2+ax+sin^...

The values of 'a' for which
`x^2+ax+sin^-1(x^2-4x+5)+cos^-1(x^2-4x+5)`=0, has at least one solution, is

A

`(-infty,-sqrt2pi) cup (sqrt2pi, infty)`

B

`-2+pi`

C

`(-infty,-sqrt2pi] cup [sqrt2pi, infty)`

D

`-2-pi/4`

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The correct Answer is:
D
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