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(ax^2)-bx+c=0 has distinct roots lyin b/w 0 & 1.then which of the following holds if a,b,c E N.
Here, b/a=0+1=1, c/a=0*1≠0 ( here 0 is not exactly 0)
b=a, c=na(n is any integer )
let, ax2-ax+na=0
a(x2-x+n)=0
x2-x+n=0
x2=x
12=1. so x=1 is true.
a-b+c=0
-bx+na= 0
-bx=-na
b=na
hit and trial, b=a=√3 and c=3 .then,
abc = 9. this is the answer. plz aprove the answer.
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