Pair Of Straight Lines Question 72
Question: If the angle between the two lines represented by $ 2x^{2}+5xy+3y^{2}+6x+7y+4=0 $ is $ {{\tan }^{-1}}m $ , then $ m= $
[MNR 1993]
Options:
A) 1/5
B) 1
C) 7/5
D) 7
Show Answer
Answer:
Correct Answer: A
Solution:
Angle $ ={{\tan }^{-1}}( \frac{2\sqrt{\frac{25}{4}-6}}{2+3} )={{\tan }^{-1}}( \frac{1}{5} ) $ and it is given by $ {{\tan }^{-1}}m $ . Hence $ m=\frac{1}{5} $ .
BETA
