Question

let l1 and l2 be two lines with well defined then l1 is perpendicular to l2 if and if only​

Answer 1

Answer:

please tell full questions

Answer 2

SOLUTION

TO DETERMINE

Let l1 and l2 be two lines with well defined then l1 is perpendicular to l2 if and if only

EVALUATION

$\sf{Let \: m_1 \: \: and \: \: m_2 \: be \: the \: solpes \: of \: the \: lines \: l_1 \: \: and \: \: l_2}$

Let θ be the angle between them

$\displaystyle \sf{ \tan \theta = \bigg| \frac{m_1 - m_2}{1 + m_1 m_2} \bigg| }$

Now the lines are perpendicular

∴ θ = 90°

$\displaystyle \sf{1 + m_1 m_2 = 0 }$

$\displaystyle \sf{ \implies \: m_1 m_2 = - 1 }$

So the product of slopes = - 1

FINAL ANSWER

let l1 and l2 be two lines with well defined then l1 is perpendicular to l2 if and if only product of the slopes = - 1

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