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  • Find the equation of the straight line is passing through point P(3,4) and and making ang

Find the equation of the straight line is passing through point P(3,4) and and making \frac{\pi}{3} angle with y-axis in clockwise direction ?

Option: 1

x-3+\sqrt{3}y+4\sqrt{3}=0


Option: 2

x-\sqrt{3}y+4\sqrt{3}+3=0


Option: 3

x-\sqrt{3}y+4\sqrt{3}=0


Option: 4

None of these


Answers (1)

best_answer

 

 

Equation of Straight Lines Passing Through a Given Point and Making a given Angle with a Given Line -

Equation of Straight Lines Passing Through a Given Point and Making a given Angle with a Given Line

The equation of the straight lines which pass through a given point (x1 , y1) and make an angle α with the given straight line y = mx + c are

y-y_{1}=\tan (\theta \pm \alpha)\left(x-x_{1}\right)

Where, m = tan ?

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\text{Angle with y-axis in clockwise direction is }\frac{\pi}{3}\\ \text{So angle with x-axis in anti-clockwise direction is }\frac{\pi}{6}\\ \text{Equation of line }\\ y-4=\tan{\frac{\pi}{6}}(x-3)\\ y-4=\frac{1}{\sqrt{3}}(x-3)\\ x-3-\sqrt{3}y+4\sqrt{3}=0

Posted by

Deependra Verma

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