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NCERT Exemplar · Class 9 · Maths

Chapter 3: Coordinate Geometry

Practice each question, then open the answer or worked solution.

Exercise 3.4

Textbook page 32 · 2 questions
Q1Written answer

Points A (5, 3), B (–2, 3) and D (5, –4) are three vertices of a square ABCD. Plot these points on a graph paper and hence find the coordinates of the vertex C.

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Worked solution

NCERT Exemplar Class 9 Maths Chapter 3 Ex.3.4-1

From the graph, we get that,

The coordinates of C = (-2, -4).

Q2Written answer

Write the coordinates of the vertices of a rectangle whose length and breadth are 5 and 3 units, respectively, with one vertex at the origin, the longer side lies on the x-axis, and one of the vertices lies in the third quadrant.

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Worked solution

NCERT Exemplar Class 9 Maths Chapter 3 Ex.3.4-2

From the graph, we get that,

The coordinates of the points of the rectangle are (0, 0), (-5, 0), (-5, -3) and (0, -3).