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Aditya Nijampurkar Grade: 12
        Find the equation of the bisector of the angle between   4x+y-7=0 and  x-4y+3=0 which contains the origin.
6 years ago

Answers : (2)

A S
36 Points
										

Dear Aditya,


Suppose we have two equations ax++by+c=0 and px+qy+r=0. First we make c and r positive. Then equations of bisectors are-


955_17036_temp.jpg


For bisector containing origin, + sign is used and - sign for the other.


For your question, this method could be used.


Post all your doubts here. Kindly approve the answer if you like it.


Best of Luck!


Regards,


A S

6 years ago
Nehal Wani
21 Points
										

The Bisector Of These Lines Passes Through The Point Of Intersection Of These Lines As Well As Origin.


4x+y-7=0


    or


16+4y-28.......................(i)


x-4y+3=0........................(ii)


Solving (i) and (ii)


We get:


x=25/17 and y=19/17


The Required Line Passes Through (0,0) and (25/17,19/17)


Therefore Equation:


19y-25x=0


6 years ago
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