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STD 11 - 9. straight line — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEESTD 11 - 9. straight line4 Marks
Question
The angle between the lines $y = (2 - \sqrt 3 )x + 5$ and $y = (2 + \sqrt 3 )x - 7$ is.......$^o$
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Answer

b
(b)$\theta = {\tan ^{ - 1}}\left( {\frac{{2 - \sqrt 3 - 2 - \sqrt 3 }}{{1 + 4 - 3}}} \right) = {\tan ^{ - 1}}( - \sqrt 3 ) = {120^o}$
Considering smaller angle $\theta ' = {60^o}$.

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