Coordinate Geometry Question 137
Question: Three points are $ A(6,3),B(-3,5),C(4,-2) $ and P (x, y) is a point, then the ratio of area of $ \Delta $ PBC and $ \Delta $ ABC is
[IIT 1983]
Options:
A) $ | \frac{x+y-2}{7} | $
B) $ | \frac{x-y+2}{2} | $
C) $ | \frac{x-y-2}{7} | $
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
$ \frac{\Delta PBC}{\Delta ABC}=| \frac{[-3(-2-y)+4(y-5)+x(5+2)]}{[6(5+2)-3(-2-3)+4(3-5)]} | $
$ =| \frac{7x+7y-14}{49} |=| \frac{x+y-2}{7} | $ .
BETA
