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Mathematics

The inclination of the line y = 3x−5\sqrt{3}x - 5 is

  1. 30°

  2. 60°

  3. 45°

  4. 0°

Straight Line Eq

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Answer

Given, y = 3x−5\sqrt{3}x - 5 comparing with y = mx + c we get,

m = 3\sqrt{3}.

Slope is given by m = tan θ or,

⇒3=tan θ⇒tan 60°=tan θ⇒θ=60°.\Rightarrow \sqrt{3} = \text{tan θ} \\[1em] \Rightarrow \text{tan } 60° = \text{tan θ} \\[1em] \Rightarrow \text{θ} = 60°.

Hence, Option 2 is the correct option.

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