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.
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 .