Math miscellaneousHard

Question

If (-2, 6) is the image of the point (4, 2) with respect to the line L = 0, then L =

Options

A.3x - 2y + 5
B.3x - 2y + 10
C.2x + 3y - 5
D.6x - 4y - 7

Solution

Clearly, L = 0 is the perpendicular bisector of the segment joining (-2, 6) and (4, 2). The equation of which is
y - 4 = (x - 1) ⇒ 3x - 2y + 5 = 0
∴  L = 3x - 2y + 5

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