# CBSE Class 10-Mathematics: Chapter –7 Coordinate Geometry Part 5

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**Question 3:**

Prove that the points and taken in order form a rhombus.

**Answer:**

Let

Since

Hence, ABCD is a rhombus.

**Question 4:**

Show that are vertices of a right-angled triangle.

**Answer:**

Let and

Since

Hence, ABC is a right-angled triangle.

**Question 5:**

Find the coordinates of the points which divide the line segment joining the points and in four equal parts.

**Answer:**

Q is the mid-point of AB

Coordinate of

Coordinate of

Coordinate of

**Question 6:**

Find the area of the rhombus if its vertices are taken in order.

**Answer:**

Let and

Area of rhombus

**Question 7:**

If the coordinates A and B are and respectively. Find the coordinates of P such that and P lies on the line segment AB.

**Answer:**

Coordinate of P are