A point has coordinates in a plane

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

Problem

A point PP has coordinates (3 m,−2 m)(3\,\text{m}, -2\,\text{m}) in a plane. A new coordinate system is obtained by moving the origin to (5 m,1 m)(5\,\text{m}, 1\,\text{m}) while keeping the axes parallel to the original ones. What are the coordinates (x′,y′)(x',y') of PP in the new system? (a) (8 m,−1 m)(8\,\text{m}, -1\,\text{m}) (b) (−2 m,−3 m)(-2\,\text{m}, -3\,\text{m}) (c) (2 m,3 m)(2\,\text{m}, 3\,\text{m}) (d) (−3 m,−2 m)(-3\,\text{m}, -2\,\text{m})

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