Pair Of Straight Lines Question 87
Question: The angle between the pair of lines $ 2x^{2}+5xy+2y^{2}+3x+3y+1=0 $ is
[EAMCET 1994]
Options:
A) $ {{\cos }^{-1}}( \frac{4}{5} ) $
B) $ {{\tan }^{-1}}( \frac{4}{5} ) $
C) 0
D) p/2
Show Answer
Answer:
Correct Answer: A
Solution:
Here $ a=2,\ b=2,\ h=\frac{5}{2},g=\frac{3}{2},f=\frac{3}{2},c=1 $ So angle q between the lines is given by
$ \therefore $ $ c=k $
$ \Rightarrow \theta ={{\cos }^{-1}}( \frac{4}{5} ) $ .