Pair Of Straight Lines Question 68
Question: Angle between the lines represented by the equation $ x^{2}+2xy\sec \theta +y^{2}=0 $ is
Options:
A) $ \theta $
B) $ 2\theta $
C) $ \frac{\theta }{2} $
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
Let angle between both the lines is $ \alpha $ , then $ \alpha ={{\tan }^{-1}}( \frac{2\sqrt{h^{2}-ab}}{a+b} )={{\tan }^{-1}}( \frac{2\sqrt{{{\sec }^{2}}\theta -1}}{1+1} )=\theta $ .
BETA
