Pair Of Straight Lines Question 90

Question: The angle between the two straight lines $ 2x^{2}-5xy+2y^{2}-3x+3y+1=0 $ is

Options:

A) $ 45^{o} $

B) $ 60^{o} $

C) $ {{\tan }^{-1}}\frac{4}{3} $

D) $ {{\tan }^{-1}}\frac{3}{4} $

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Answer:

Correct Answer: D

Solution:

$ \theta ={{\tan }^{-1}}( \frac{2\sqrt{\frac{25}{4}-4}}{4} )={{\tan }^{-1}}\frac{3}{4} $ .