Straight Line Question 3
Question: The angle between the lines whose intercepts on the axes are a, -b and b, -a respectively, is
Options:
A) $ {{\tan }^{-1}}\frac{a^{2}-b^{2}}{ab} $
B) $ {{\tan }^{-1}}\frac{b^{2}-a^{2}}{2} $
C) $ {{\tan }^{-1}}\frac{b^{2}-a^{2}}{2ab} $
D) None of these
Correct Answer: C
Show Answer
Answer:
Solution:
Þ $ m_1=\frac{b}{a} $ and $ m_2=\frac{a}{b} $ Therefore $ \theta ={{\tan }^{-1}}\frac{\frac{b}{a}-\frac{a}{b}}{1+\frac{b}{a}.\frac{a}{b}}={{\tan }^{-1}}\frac{b^{2}-a^{2}}{2ab} $ .
BETA
