Let be any point on the Cartesian plane that satisfies the conditions and .

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

Problem

Let AA be any point on the Cartesian plane that satisfies the conditions x<0,  y>0,  ∣x∣≤5x<0,\;y>0,\;|x|\le 5 and ∣y∣≤5|y|\le 5. (i) Give three distinct examples of ordered pairs that can serve as the coordinates of AA. (ii) Plot the three points obtained in part (i) on graph paper. (iii) For each point chosen, verify algebraically that it satisfies all the given inequalities. (iv) If BB is the point whose coordinates are (−x,−y)(-x,-y), determine the quadrant in which BB lies and explain your reasoning.

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