Two lines passing through the point (2, 3) intersects each other at an angle of 60o. If slope of one line is 2, find equation of the other line.
Let the slope of the first line be m1
Given, m1 = 2
Let the slope of the other line be m2.
Angle between the two lines is 60°.
⇒
Case 1: When
The equation of the line passing through point (2, 3) and having a slope m2 is
⇒
∴ Equation of the other line is
Case 2: When
The equation of the line passing through point (2, 3) and having a slope m2 is
Equation of the other line is