Find the angle between two lines whose slopes are -5/6 and 1/11
Answers
Question :- Find the angle between two lines whose slopes are -5/6 and 1/11. ?
Solution :-
we know that, the acute angle θ between the two lines whose slopes are m₁ and m₂ is given by :-
- tanθ = | (m₁ - m₂) / (1 + m₁ * m₂) |
putting m₁ = (-5/6) and m₂ = (1/11) , we get,
→ tanθ = | {(-5/6) - (1/11)} / {1 + (-5/6) * (1/11)}
→ tanθ = | {(-55 -6) /66} / { 1 - (5/66) }
→ tanθ = | (-61/66) / {(66 - 5) / 66} |
→ tanθ = | (-61/66) / (61/66) |
→ tanθ = | (-1) |
→ tanθ = 1
→ tanθ = tan45°
→ θ = 45° .(Ans.)
Hence, angle between the given lines is 45° .
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