What is the acute angle between the pair of straight lines $\sqrt 2 {\rm{x}} + \sqrt 3 {\rm{y}} = 1$ and $\sqrt 3 {\rm{x}} + \sqrt 2 {\rm{y}} = 2?$

Question

What is the acute angle between the pair of straight lines $\sqrt 2 {\rm{x}} + \sqrt 3 {\rm{y}} = 1$ and $\sqrt 3 {\rm{x}} + \sqrt 2 {\rm{y}} = 2?$

TuteeHUB · Accepted Answer

${\tan ^{ - 1}}\left( {\frac{1}{{\sqrt 2 }}} \right)$

TuteeHUB · Answer

${\tan ^{ - 1}}\left( {\frac{1}{{2\sqrt 6 }}} \right)$

TuteeHUB · Answer

tan-1 (3)

TuteeHUB · Answer

${\tan ^{ - 1}}\left( {\frac{1}{{\sqrt 3 }}} \right)$

1.	What is the acute angle between the pair of straight lines \(\sqrt 2 {\rm{x}} + \sqrt 3 {\rm{y}} = 1\) and \(\sqrt 3 {\rm{x}} + \sqrt 2 {\rm{y}} = 2?\)
A.	\({\tan ^{ - 1}}\left( {\frac{1}{{2\sqrt 6 }}} \right)\)
B.	\({\tan ^{ - 1}}\left( {\frac{1}{{\sqrt 2 }}} \right)\)
C.	tan-1 (3)
D.	\({\tan ^{ - 1}}\left( {\frac{1}{{\sqrt 3 }}} \right)\)
Answer» B. \({\tan ^{ - 1}}\left( {\frac{1}{{\sqrt 2 }}} \right)\)

What is the acute angle between the pair of straight lines \(\sqrt 2 {\rm{x}} + \sqrt 3 {\rm{y}} = 1\) and \(\sqrt 3 {\rm{x}} + \sqrt 2 {\rm{y}} = 2?\)