If the two lines with slope m1 and m2 are perpendicular then thei… - Vidyadip

MCQ

If the two lines with slope m₁ and m₂ are perpendicular then their slopes has relation:

A
m₁ + m₂ = 1
B
m₁ × m₂ = 1
C
m₁ × m₂ = -1
D
m₁ + m₂ = -1

✓

Answer

m₁ × m₂ = -1

Solution:

If the two lines are perpendicular then if one line form angle $\alpha$ with positive x-axis then the other line form angle $90^\circ + \alpha$

If $\text{m}_{1} = \tan \alpha$ then m₂ will be $\tan (90^\circ + \alpha) = -\cot\alpha = \frac{-1}{\tan\alpha}$

⇒ m₁ × m₂ = -1.

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