CBSE Class 10-Mathematics: Chapter – 7 Coordinate Geometry Part 8 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Question 16:

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

Answer:

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 .

Answer:

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 .

Answer:

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 .

Answer:

Let divides line segment joining the points and in .

Using Section formula, we get

Therefore, the ratio is which is equivalent to .

Therefore, divides line segment joining the points and in .