Point is fixed in the plane

MATHEMATICS · Multi-part · CBSE · Mathematics · Straight Lines · Straight Lines

Problem

Point Q(2,−1)Q(2,-1) is fixed in the plane. A variable point P(k,5)P(k,5) is chosen so that the line joining PP and QQ is perpendicular to the line 3x−4y+6=03x-4y+6=0. (i) Find the value of kk. (ii) Hence write the equation of the line PQPQ.

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