# CBSE Class 10-Mathematics: Chapter –7 Coordinate Geometry Part 8

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Question 16:

Find the values of y for which the distance between the points and is units.

Using Distance formula, we have

Squaring both sides, we get

Solving this Quadratic equation by factorization, we can write

Question 17:

Find a relation between x and y such that the point is equidistant from the point and .

It is given that is equidistant from and .

Using Distance formula, we can write

Squaring both sides, we get

Question 18:

Find the coordinates of the point which divides the join of and in the ratio .

Let

Using Section Formula to find coordinates of point which divides join of and in the ratio , we get

Therefore, the coordinates of point are which divides join of and in the ratio .

Question 19:

Find the ratio in which the line segment joining the points and is divided by .