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Ask iit jee aieee pet cbse icse state board community Discussion Response Post to: Straight Line Doubt
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rooney (894)

Blazing goIITian

Olaaa!! Perrrfect answer. 152  bad job dude!! I dont approve of this answer! 1  [221 rates]

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See. L1 passes through (-2,3) and (0,0). So slope is 3/-2. Similarly you get slope of L2.
Slope of side of triangle perpendicular to L1 is (y+1)/(x-5) as it passes through (x,y) and (5,-1). Similarly you get slope of the slope of the line perpedicular to the other altitude.

Since they are perpendicular, product of their slopes is -1.

Thats how we get the 2 equations

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