Two lamp posts in a playground are located at and

MATHEMATICS · Multi-part · CBSE · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

Two lamp posts in a playground are located at P(−4,7)P(-4, 7) and Q(6,−13)Q(6, -13). A security camera is to be mounted at a point RR on the straight cable that directly connects the two lamp posts such that the distances satisfy PR:RQ=3:5PR:RQ = 3:5. (i) Find the coordinates of the point RR. (ii) Identify the quadrant in which the point RR lies, giving a brief reason.

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