Let L1 be a straight line passing through the origin and L2 be the straight line x+y=1. If the intercepts made by circle x2+y2-x+3y=0 on L1andL2 be equal ,then which of the following may represent L1? (a) x+y=0 (b) x-y=0 (c) x+7y=0 (d) x-7y=0
this type of ques r done faster if d options r given a view over the req conditions.
btw, the way of solving is first to say y=1-x for L2 , put it in circle, get diff. of roots, for y, and then for x. now , the intercept, then consider y=mx as the req line and get intercept, n equate with the calculated one 2 get 2 val. for m.
no need 2 even find da intercept... since da intercepts r supposed 2 b equal... simply equate da distances of da lines 4m da centre of da circle (taking da required line 2 b y=mx)... u will get a quadratic in m, solve it n get da answer
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