Question -
Answer -
Given:
The equations of thelines are
2x − y + 3 =0 … (1)
x + y + 2 = 0 … (2)
Let m1 andm2 be the slopes of these lines.
m1 =2, m2 = -1
Let θ be theangle between the lines.
Then, by using theformula
tan θ = [(m1 –m2) / (1 + m1m2)]
= [(2 + 1) / (1 + 2)]
= 3
So,
θ = tan-1 (3)
∴ The acute anglebetween the lines is tan-1 (3).