Question

Find an equation of the line that bisects the acute angle formed by the graphs of 3x+5y+2=0 and 5x+3y-2=0 

Answer 1

Step 1:

The equations of the graphs are  and .

Equations of the bisectors formed by the graphs  and 

are  and 

If , then acute angle bisector is .

If , then acute angle bisector is .

Find .

Here  and .

Step 2:

Substitute corresponding values in the above formula.

.

Equation of the line that bisects the acute angle formed by the graphs of  and  is .

Solution:

Equation of the line that bisects the acute angle formed by the graphs of  and  is .