Q. 254.0( 6 Votes )

# Two lines passing through the point (2, 3) intersects each other at an angle of 60^{o}. If slope of one line is 2, find equation of the other line.

Answer :

Let the slope of the first line be m_{1}

Given, m_{1} = 2

Let the slope of the other line be m_{2}.

Angle between the two lines is 60°.

⇒

Case 1: When

The equation of the line passing through point (2, 3) and having a slope m_{2} is

⇒

∴ Equation of the other line is

Case 2: When

The equation of the line passing through point (2, 3) and having a slope m_{2} is

Equation of the other line is

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