# CBSE Class 10-Mathematics: Chapter –7 Coordinate Geometry Part 6

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**Question 8:**

In what ratio is the line segment joining the points and divided by the ?

**Answer:**

Let and

and ratio be

Coordinate of P are

**Question 9:**

For what value of are the points and collinear?

**Answer:**

For Collinear

**Question 10:**

Find the third vertex of a , if two of its vertices are at and and the centroid is at the origin.

**Answer:**

Let third vertex of the be

Hence, third vertex is

**Question 11:**

In a seating arrangement of desks in a classroom, three students are seated at and respectively. Are they seated in line?

**Answer:**

Hence, they seated in a line.

**Question 12:**

Show that are the vertices of an equilateral triangle.

**Answer:**

Let

Since , then is equilateral triangle.