0

Guest

Courses New

The line lx+my+n=0 bisects the angle between a pair of straight lines, of which one is px+qy+r=0. Show that eqn of other line is (px+qy+r)(l 2 +m 2 ) -2 (lp+mq)(lx+my+n)=0

The line  lx+my+n=0 bisects the angle between
a pair of straight lines, of which one is px+qy+r=0.
Show that eqn of other line is
(px+qy+r)(l2+m2) -2 (lp+mq)(lx+my+n)=0

Grade:11

1 Answers

Arun
25750 Points
5 years ago
Dear student
 
Form a family of straight lines passing through the point of intersection oflx+my+n=0 andpx+qy+r=0.(px+qy+r)+µ(lx+my+n)=0Find the angle betweenlx+my+n=0 andpx+qy+r=0 and equate it to the angle between lx+my+n=0 and the family of straight lines[with slope=-(p+µl)/(q+µm)] to get the value ofµ. Put the value ofµ in the eqn of family of straight lines to the get the eqn of the required line. RegardsArun

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