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.

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

Coordinate of P Are