Question

the equation of bisector of obtuse angle between the lines ​

Answer 1

Answer:

We will learn how to find the equations of the bisectors of the angles between two straight lines.

Prove that the equation of the bisectors of the angles between the lines a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 are given by

a1x+b1y+c1

√

a

2

1

+b

2

1

= ±

a2x+b2y+c2

√

a

2

2

+b

2

2

.

Let us assume the two given straight lines be PQ and RS whose equations are a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 respectively, where c1 and c2 are of the same symbols.

First we will find the equations of the bisectors of the angles between the lines a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0.