MHT CET 2022 Mathematics question

The joint equation of two lines passing through the origin and perpendicular to the lines given by is

(A)
(B)Correct
(C)
(D)

Answer: (B)

Solution

Factorise: , so the lines are and with slopes and . Lines through the origin perpendicular to them have slopes and , i.e. and , so the joint equation is . Expanding, . Hence

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Question ID VK-093902