Find the angle which the straight line y - -3 x - 4 makes with y-axis-

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Standard XII

Mathematics

Inclination of a Line

Find the angl...

Question

Find the angle which the straight line $y = \sqrt{3} x - 4$ makes with y-axis.

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Solution

We have, $y = \sqrt{3} x - 4$

Slope = $m = \sqrt{3}$

$t a n$ $θ$ = $\sqrt{3}$

$θ = 60^{o}$

This is the angle made by the line with the x-axis.

Therefore, the angle made by the line with the y-axis is $90 - 60 = 30^{o}$

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Find the angle which the straight line y=√3x−4 makes with y-axis.

We have, y=√3x−4Slope = m=√3tan θ = √3θ=60oThis is the angle made by the line with the x-axis.Therefore, the angle made by the line with the y-axis is 90−60=30o

Find the angle which the straight line $y = \sqrt{3} x - 4$ makes with y-axis.

We have, $y = \sqrt{3} x - 4$

Slope = $m = \sqrt{3}$

$t a n$ $θ$ = $\sqrt{3}$

$θ = 60^{o}$

This is the angle made by the line with the x-axis.

Therefore, the angle made by the line with the y-axis is $90 - 60 = 30^{o}$