(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.

1. abc >=20
2. abc >=25
3. abc <=16
4. abc =9.

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.