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.

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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

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