If , let , , and be points in the plane. What is…

MATHEMATICS · Single correct · CBSE · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

If k>4k>4, let P(k,0)P(k,0), Q(0,4)Q(0,4), R(4,0)R(4,0) and S(0,−4)S(0,-4) be points in the plane. What is ar⁡(△PQR):ar⁡(△PQS)\operatorname{ar}(\triangle PQR):\operatorname{ar}(\triangle PQS)? (a) (k+4):2k(k+4):2k (b) (k−4):k(k-4):k (c) (k−4):2k(k-4):2k (d) (k−4):4k(k-4):4k

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