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

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asked Feb 8, 2018 in Mathematics by Rohit Singh (61,782 points) 35 133 356

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

1 Answer

+1 vote
answered Feb 8, 2018 by sameer (82,980 points) 5 11 37
selected Feb 20, 2018 by sanjeev
 
Best answer

It is given that the slope of the first line, m1 = 2.
Let the slope of the other line be m2.
The angle between the two lines is 60°.

The equation of the line passing through point (2, 3) and having a slope of  (2 - √3) / (2√3 + 1) is given by

In this case, the equation of the other line is ( √3 - 2)x +(2√3 + 1)y = - 1 + 8√3

The equation of the line passing through point (2, 3) and having a slope of - (2 +√3) / (2√3-1) is

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