Let L1 be a st line passing through the origin and L2 be the st line x+y=1. If the intercepts made by the circle xsquare + y square-x+3y=0 on L1 and L2 are equal, then which of the following equations can represent L1?
a)x+y=0 b) y-x=0 c)x+7y=0 d)x-7y=0
Let the equation of line L1 be y = mx.
Intercepts made by L1 and L2 on the circle will be equal , i. e, L1 and L2 are at same distance from the centre of the circle.
Centre of the given circle is (1/2, -3/2)
therefore,
