Origin containing angle bisector of two lines L_1 a_1x+b_1y+c_1=0 and L_2 a_2x+b_2y+c_2=0 (where c_1c_2<0) is

JEE Main Mathematics question

Origin containing angle bisector of two lines and (where ) is

(A)
(B)Correct
(C)
(D)Depends on the value of and

Answer: (B)

Solution

The bisector of the angle containing the origin is obtained when both constants have the same sign, so one equation must be multiplied by ; since , is replaced by . The

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Question ID VK-024461