The acute angle between the line having the slope -3 and x-axis is

The correct option is A π3 The acute angle between the line having the slope #160; √(3) and X axis isslope, #160; #160; m=tanθ √(3)=ta ...

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Standard XII

Mathematics

Slope of a Line

The acute ang...

Question

The acute angle between the line having the slope $\sqrt{3}$ and $x$ -axis is

\frac{π}{3}

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\frac{π}{6}

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\frac{π}{4}

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\frac{π}{2}

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Solution

The correct option is A $\frac{π}{3}$
The acute angle between the line having the slope $\sqrt{3}$ and X-axis is
slope, $m = tan θ$
$\sqrt{3} = tan θ$
$θ = {tan}^{- 1} (\sqrt{3})$
$θ = \frac{π}{3}$

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The acute angle between the line having the slope √3 and x-axis is

The correct option is A π3The acute angle between the line having the slope √3 and X-axis isslope, m=tanθ√3=tanθ θ=tan−1(√3)θ=π3

The acute angle between the line having the slope $\sqrt{3}$ and $x$ -axis is

The correct option is A $\frac{π}{3}$
The acute angle between the line having the slope $\sqrt{3}$ and X-axis is
slope, $m = tan θ$
$\sqrt{3} = tan θ$
$θ = {tan}^{- 1} (\sqrt{3})$
$θ = \frac{π}{3}$