Math, asked by kritibudhathoki, 2 months ago

find the acute angle between the lines having slopes -✓3 and ✓3. ​

Answers

Answered by Anonymous
1

Answer:

0

Step-by-step explanation:

Slopes are equal

So the angle between them must be 0

Answered by talpadadilip417
0

Step-by-step explanation:

Let \tt{m_1=-\sqrt{3}} And m_2=\sqrt{3}

Let \theta be the acute angle between them.

 \red{ \bf \therefore \:  \: \tan \theta=\left|\frac{m_{1}-m_{2}}{1+m_{1} m_{2}}\right|}

  \tt \pink{\therefore \:  \: \tan \theta=\left|\frac{ -  \sqrt{3} - \sqrt{3} }{1+( -  \sqrt{3} ) ( \sqrt{3}) }\right|}

 \tt \blue{ \therefore \:  \: \tan \theta=\left|\frac{ - 2 \sqrt{3} }{1 -  \sqrt{9} }\right|}

 \tt \orange{ \therefore \:  \: \tan \theta=\left|\frac{  \cancel{- 2 }\sqrt{3} }{ \cancel{ - 2}}\right|}

 \tt \purple{ \therefore \:  \: \tan \theta=\left| \sqrt{3} \right|}

 \red{\xcancel{\boxed{ \boxed{\boxed{ \boxed{\boxed{ \boxed{\boxed{ \boxed{\boxed{ \boxed{\boxed{ \boxed{\boxed{ \boxed{\boxed{ \boxed{\boxed{ \boxed{\boxed{ \boxed{\boxed{ \boxed{\boxed{ \boxed{ \boxed{ \boxed{ \tt \green{ \therefore \:  \:  \theta = 60 {}^{ \circ} }}}}}}}}}}}}}}}}}}}}}}}}}}}}}

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