CBSE Class 10-Mathematics: Chapter –7 Coordinate Geometry Part 12

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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 .

The length of a line segment

The Length of a Line Segment

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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

Then one point divides the join of two in same ratio

Then One Point Divides the Join of Two in Same Ratio

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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