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If the equation of the pair of straight lines passing through the point `(1,1)` , one making an angle `theta` with the positive direction of the x-axis and the other making the same angle with the positive direction of the y-axis, is `x^2-(a+2)x y+y^2+a(x+y-1)=0,a!=2,` then the value of `sin2theta` is `a-2` (b) `a+2` `2(a+2)` (d) `2/a`

A

a-2

B

a+2

C

`(2)/((a+2))`

D

`2/a`

Text Solution

Verified by Experts

The correct Answer is:
C
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