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secθ=a2+b2a2b2, where a,b,R, gives real values of θ if and only if

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a
a=b0
b
|a||b|0
c
a+b=0,a0
d
none of these

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detailed solution

Correct option is B

Clearly,

a2+b2a2b2 for all ||a||b∣≠0,

 a2+b2a2b21 or. a2+b2a2b21

 secθ=a2+b2a2b2 is meaningful.

Thus, secθ=a2+b2a2b2 gives real values of θ if and only |a||b|0

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