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} ) $ .