The equations of the acute and the obtuse angle bisectors of the lines and are…

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

Problem

The equations of the acute and the obtuse angle bisectors of the lines 5x+12y+13=05x + 12y + 13 = 0 and 5x−12y+13=05x - 12y + 13 = 0 are respectively (1) y=0,x=−135y = 0, x = -\frac{13}{5} (2) y=0,x=135y = 0, x = \frac{13}{5} (3) x=0,y=−135x = 0, y = -\frac{13}{5} (4) x=0,y=135x = 0, y = \frac{13}{5}

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