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a,b,c are real constants such that all the lines represented by ax+by+c=0 are concurrent at a point P. This point P lies on the line ax+by+c=0 such that 7a+2b+8c=0. What are the coordinates of P?

 Dec 30, 2020
 #1
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Not sure about this.....but....

 

This must imply  that

 

(7/8) a  + (2/8)b  +  c   = 0

 

a(7/8)  + b (2/8)  +  c   =    0 

 

(x , y)   = (7/8 , 2/8)  =  (7/8, 1/4)  =  P

 

cool cool cool

 Dec 30, 2020

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