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Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 8

If the points P(5, 3) Q(−3, 3) R(−3, −4) and S form a rectangle then find the coordinate of S - Mathematics

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Question

If the points P(5, 3) Q(−3, 3) R(−3, −4) and S form a rectangle then find the coordinate of S

Graph

Solution

Plotting the points on a graph ...(approximately)

Steps:

  • Plot P, Q, R approximately on a graph.
  • As it is a rectangle, RS should be parallel to PQ and QR should be parallel to PS
  • S should lie on the straight line from R parallel to x-axis and straight line from P parallel to y-axis
  • Therefore, we get S to be (5, -4)

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Geometrical Representation of a Linear Equation by Line Parallel to the Coordinate Axes
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Chapter 3: Algebra - Exercise 3.9 [Page 118]

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Samacheer Kalvi Mathematics [English] Class 8 TN Board
Chapter 3 Algebra
Exercise 3.9 | Q 5 | Page 118
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