CBSE Class 10-Mathematics: Chapter – 7 Coordinate Geometry Part 12 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Question 7:

Show that the points and are collinear.

Answer:

For collinear

Question 8:

The length of a line segment is 10. If one end point is and the abscissa of the second end point is , show that its ordinate is either or .

Answer:

Let be the first end point and be the second end point.

Question 9:

Using section formula, show that the points are collinear

Answer:

If points are collinear, then one point divides the join of other two in the same ratio. Let divides the join of in the ratio

Hence Proved

Question 10:

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

Answer:

Let be equidistant from the points

Question 11:

Determine the ratio in which the line divides the line segment joining the points

Answer:

Let the ratio be

Coordinate of P are

P lies on the line