Correct option (B) x - y = 0, (D) x - 7y = 0
Explanation :
The equation of the circle can be written as
(x - 1/2)2 + (y + 3/2)2 = 5/2
so that its centre is at (1/2, -3/2) and radius is √5/2. Let y = mx be the equation of L1. Since the intercepts are
made by the circle on L1 and L2 , it follows that the two chords are equidistant from the centre. Therefore
m = 1, -1/7
Hence, the equations of L1 are y = -x /7 and y = -x/7. That is, x - y = 0 and x + 7y = 0