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If A and B are two angles satisfying 0lt...

If A and B are two angles satisfying `0ltA,Blt(pi)/(2)and A+B=(pi)/(3),` then the minimum value of `sec A+sec B` is

A

`(2)/(sqrt3)`

B

`(4)/(sqrt3)`

C

`(1)/(sqrt3)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
`z=sec A+secB` will be minimum when `A=B=pi//6.`
`therefore` Minimum value of `z=cos (pi)/(6)+sec""(pi)/(6)=(4)/(sqrt3)`
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