Coordinate Geometry Question 43

Question: Vertices of figure are (-2,2), (-2,­-1), (3,-1), (3,2). It is a

[Karnataka CET 1998]

Options:

A) Square

B) Rhombus

C) Rectangle

D) Parallelogram

Show Answer

Answer:

Correct Answer: C

Solution:

Let the points A, B, C and D are $ (-2,2) $ , $ (-2,-1),(3,-1) $ and (3, 2) respectively. Then, $ AB=3,BC=5 $

$ CD=3,DA=5 $ Clearly angle between the diagonals is $ 90^{o} $ . So rectangle.