0

Guest

Courses New

Please explain how to identify the acute and obtuse angle bisectors using the angle bisectory formula.

Please explain how to identify the acute and obtuse angle bisectors using the angle bisectory formula. 

Grade:11

1 Answers

Ajay Verma
askIITians Faculty 33 Points
9 years ago
if two lines are:
L1 : a1x + b1y + c1= 0
L2 : a2x + b2y + c2= 0


then eqn of angle bisectors
(a1x + b1y + c1) / {(a1)2 + (b1)2}1/2= +-(a2x + b2y + c2) / {(a2)^2+ (b2)^2}^1/2


we write the eqns of L1 and L2 in that way....that constent terms are positive.
now.. we check..

1. if a1*a2 + b1*b2 > 0
then for taking + sign in bisector formula we get Obtuse angle bisector..
for taking - sign in bisector formula we get acute angle bisector..

2. if a1*a2 + b1*b2 < 0
then for taking + sign in bisector formula we get acute angle bisector..
for taking - sign in bisector formula we get obtuse angle bisector..



thanks and regards.

Think You Can Provide A Better Answer ?

Other Related Questions on Analytical Geometry

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More