A gardener lays a straight sprinkler pipe across a rectangular lawn

MATHEMATICS · Subjective · CBSE · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

A gardener lays a straight sprinkler pipe across a rectangular lawn. One end is fixed at A(−8, −3). The midpoint of the pipe is at M(0, 5) on the y-axis. (a) Find the coordinates of the other end B of the pipe. (b) Determine the length of the pipe. (c) If every point on the pipe is shifted 3 units upward, write the new coordinates of A and B after the shift.

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