Question

The inclination of the line `sqrt3 − 3y + 7 = 0` is ______.

विकल्प

• 30°

• 45°

• 60°

• 75°

Answer 1

The inclination of the line `sqrt3 − 3y + 7 = 0` is 30°.

Explanation:

Given, equation:

⇒ `sqrt3 − 3y + 7 = 0`

⇒ `3y = sqrt3 + 7`

⇒ y = `(sqrt3)/3x + 7/3`

⇒ y = `1/(sqrt3)x + 7/3`

Comparing above equation with y = mx + c, we get:

⇒ m = `1/(sqrt3)`

⇒ tan θ = tan 30°

⇒ θ = 30°