A line passes through the point and makes an angle of with the positive -axis

MATHEMATICS · Single correct · A Level · Mathematics · Coordinate geometry in the (x y) plane · Coordinate geometry in the (x y) plane

Problem

A line L1L_1 passes through the point (1,−2)(1,-2) and makes an angle of 135∘135^\circ with the positive xx-axis. Which of the following is the equation of the line perpendicular to L1L_1 and passing through the same point? (a) y=−x−1y = -x - 1 (b) y=x−3y = x - 3 (c) y=x+3y = x + 3 (d) y=−x+1y = -x + 1

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