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Question
The inclination of the line `sqrt3 − 3y + 7 = 0` is ______.
Options
30°
45°
60°
75°
MCQ
Fill in the Blanks
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Solution
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°
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