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General solution of the equation sinx...

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

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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