NCERT Mathematics Class 9 Exemplar Ch 3 Coordinate Geometry Part 10

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Exercise 3.4

Q.1. Points and are three vertices of a square ABCD. Plot these points on a graph paper and hence find the coordinates of the vertex C.

Points A (5,3),B (– 2,3) and D (5,– 4) are three vertices of a square ABCD

Three Vertices of a Square ABCD

Points A (5,3),B (– 2,3) and D (5,– 4) are three vertices of a square ABCD

Answer: C

Q.2. Write the coordinates of the vertices of a rectangle whose length and breadth are 5 and 3 units respectively, one vertex at the origin, the longer side lies on the x axis and one of the vertices lies in the third quadrant.

Figure shows the coordinates of the vertices of a rectangle whose length and breadth are 5 and 3 units

The Coordinates

Figure shows the coordinates of the vertices of a rectangle whose length and breadth are 5 and 3 units

Answer:

3. Plot the points P (1, 0), Q (4, 0) and S (1, 3). Find the coordinates of the point R such that PQRS is a square.

Answer:

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