Straight Line Question 206
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 is equal to:
Options:
A) $ \frac{1}{5} $
B) 1
C) $ \frac{7}{5} $
D) 7
Correct Answer: A $ \therefore \tan \theta =\frac{2\sqrt{h^{2}-ab}}{a+b}=\frac{2\sqrt{\frac{25}{4}-2\times 3}}{2+3} $ $ =\frac{2\sqrt{\frac{1}{4}}}{5}=\frac{2\times \frac{1}{2}}{5}=\frac{1}{5}\tan \theta =\frac{1}{5}\Rightarrow m=\frac{1}{5} $
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Answer:
Solution:
BETA
