Coordinate Geometry Question 139
Question: If $ A(6,3), $
$ B(-3,5) $ , $ C(4,-2) $ and $ D(x,3x) $ are four points. If the ratio of area of $ \Delta DBC $ and $ \Delta ABC $ is 1 : 2, then the value of x, will be
[IIT 1959]
Options:
A) $ \frac{11}{8} $
B) $ \frac{8}{11} $
C) $ 3 $
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
$ \frac{\Delta DBC}{\Delta ABC}=\frac{1}{2}\Rightarrow 2\Delta DBC=\Delta ABC $
$ \Rightarrow 2(14x-7)=\frac{49}{2}\Rightarrow x=\frac{77}{56}=\frac{11}{8} $ .
BETA
