What will be the angle between the lines y – x – 7 =

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What will be the angle between the lines y – x – 7 = 0 and √3y – x + 6 = 0 ?

1. θ = tan^–1(2 + √3)
2. θ = tan^–1(2 - √3)
3. θ = tan^–1(1 + √3)
4. θ = tan^–1(1 - √3)

Correct Option: B

We know that angle between the lines is

tanθ =		m₁ + m₂
		√1 + m₁m₂

Here, Equation of line is y – x – 7 = 0
⇒ m₁ = 1
similarly,

m₂ =	1
	√3

Now,

tanθ = (2 - √3)
θ = tan^–1(2 - √3)