MHT CET 2024 Mathematics question

A line 4x + y = 1 passes through the point A(2, -7) meets the line BC whose equation is 3x – 4y + 1 = 0 at the point B. The equation of the line AC so that AB = AC is

(A)52x + 89y + 519 = 0Correct
(B)52x + 89y – 727 = 0
(C)52x – 89y + 519 = 0
(D)52x – 89y – 727 = 0

Answer: (A)

Solution

Since with and both on line , the lines and make equal angles with but on opposite sides, so when measured from . Slope of (line ) is ; slope of is . The angle from to :

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Question ID VK-094940