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A pair of straight lines is passing thro...

A pair of straight lines is passing through the point (1, 1). One of the lines makes an angle `theta` with the positive direction of X-axis and the other makes the same angle with the positive direction of Y-axis. If the equation of the pair of straight lines is
`x^(2)-(a+2)xy+y^(2)+a(x+y-1)=0,a ne-2`, then the value of `theta` is

A

`(1)/(2)sin^(-1)((2)/(a+2))`

B

`(1)/(2)sin((2)/(a+2))`

C

`(1)/(2)tan^(-1)((2)/(a+2))`

D

`(1)/(2)tan((2)/(a+2))`

Text Solution

Verified by Experts

The correct Answer is:
A
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