Coordinate Geometry Question 145
Question: $ P(2,1),Q(4,-1),R(3,2) $ are the vertices of triangle and if through P and R lines parallel to opposite sides are drawn to intersect in S, then the area of PQRS is
Options:
A) 6
B) 4
C) 8
D) 12
Show Answer
Answer:
Correct Answer: B
Solution:
Since PQRS is a parallelogram with an area which is twice the area of $ \Delta PQR $ . Therefore, area PQRS $ =2.\frac{1}{2} \begin{vmatrix} 2 & 1 & 1 \\ 4 & -1 & 1 \\ 3 & 2 & 1 \\ \end{vmatrix} =4 $ .
BETA
