General solution of the equation : sinx ...

General solution of the equation : `sinx + cos x= min_(aepsilonR) {1,a^2-4a+6}` is :

A

`(npi)/(2) + (-1)^(n) (pi)/(4)`

B

`2n pi +(-1)^(n) (pi)/(4)`

C

`n pi + (-1)^(n+1) (pi)/(4)`

D

`npi +(-1)^(n) (pi)/(4) - (pi)/(4)`

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The correct Answer is:

D

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