Coordinate Geometry Question 147

Question: If the vertices of a triangle are $ (5,2),(2/3,2) $ and $ (-4,3) $ , then the area of the triangle is

[Kurukshetra CEE 2002]

Options:

A) 28/6

B) 5/2

C) $ 43 $

D) 13/6

Show Answer

Answer:

Correct Answer: D

Solution:

$ \Delta =\frac{1}{2}| { 5(2-3)+\frac{2}{3}(3-2)+(-4)(2-2) } | $

$ =\frac{1}{2}| ( \frac{-13}{3} ) |=\frac{13}{6} $ .