Question

The acute angle between lines x - 3 = 0 and x + y = 19 is ______.

Options

• 60°

• 30°

• 90°

• 45°

Answer 1

The acute angle between lines x - 3 = 0 and x + y = 19 is 45°.

Explanation:

Given lines are x - 3 = 0   ...(i)

Slope of line (i), m₁ = ∞ ⇒ tan θ₁ = ∞ ⇒ θ₁ = 90° and x + y = 19

⇒ y = - x + 19    ...(ii)

Slope of line (ii), m₂ = tanθ₂ = - 1

⇒ θ₂ = 135°

∴ Acute angle between given lines is 45°.