# NCERT Mathematics Class 10 Exemplar Ch 7 Coordinate Geometry Part 4

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EXERCISE 7.3

1. Name the type of triangle formed by the points , and .

2. Find the points on the x–axis which are at a distance of from the point How many such points are there?

3. What type of a quadrilateral do the points , and taken in that order, form?

4. Find the value of a , if the distance between the points and is 9 units.

5. Find a point which is equidistant from the points and ? How many such points are there?

Answer: the middle point of AB. Infinite number of points. In fact, all points which are solutions of the equation .

6. Find the coordinates of the point Q on the x–axis which lies on the perpendicular bisector of the line segment joining the points and . Name the type of triangle formed by the points Q, A and B.

7. Find the value of m if the points , and are collinear.

8. If the point is equidistant from and , find the values of y. Also find distance PQ.

9. Find the area of the triangle whose vertices are and .

10. In what ratio does the x–axis divide the line segment joining the points and ? Find the coordinates of the point of division.

11. Find the ratio in which the point P divides the line segment joining the points , and .