Pair Of Straight Lines Question 110
Question: The area of the triangle formed by the lines $ x^{2}-4y^{2}=0 $ and $ x=a $ , is
Options:
A) $ 2a^{2} $
B) $ \frac{a^{2}}{2} $
C) $ \frac{\sqrt{3}a^{2}}{2} $
D) $ \frac{2a^{2}}{\sqrt{3}} $
Show Answer
Answer:
Correct Answer: B
Solution:
According to the figure, Area = $ \frac{1}{2} \begin{vmatrix} 0 & 0 & 1 \\ a & -\frac{a}{2} & 1 \\ a & \frac{a}{2} & 1 \\ \end{vmatrix} $ $ =\frac{a^{2}}{2} $ .
BETA
