MHT CET 2022 Mathematics question

N (3, -4) is the foot of the perpendicular drawn from the origin to a line L. Then the equation of the line L is

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

Answer: (C)

Solution

The line from the origin to has slope . The required line is perpendicular to at , so its slope is . Using point-slope form: , option (C). Verify: satisfies it

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Question ID VK-093708