If m 1- m 2 are the slopes of two intersecting lines m 1- m 2-1 - is the acute angle between them- then tan- m 1- m 2-1- m 1- m 2-A- TrueB- False

The correct option is B False If m_1 & m_2 are the slopes of two straight lines (m_1.m_2 ≠ 1) & θ is the acute angle between them Then, tan θ=|m_1 m_2 ...

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Byju's Answer

Standard XII

Mathematics

Slope of a Line

If m 1& m 2 a...

Question

If $m_{1} & m_{2}$ are the slopes of two intersecting lines $(m_{1} . m_{2} \neq - 1) & θ$ is the acute angle between them, then $t a n θ = | \frac{m_{1} + m_{2}}{1 - m_{1} . m_{2}} |$

True

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False

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Solution

The correct option is B
False

If $m_{1} & m_{2}$ are the slopes of two straight lines $(m_{1} . m_{2} \neq - 1) & θ$ is the acute angle between them
Then,
$t a n θ = | \frac{m_{1} - m_{2}}{1 + m_{1} . m_{2}} |$

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Similar questions

Let L₁ and L₂ be two non-vertical lines with slopes m₁ and m₂ respectively. If α₁ and α₂ are the inclinations of lines L₁ and L₂, respectively. the acute angle (say θ) between lines L1 and L2 , is given by