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If b^(2)-4acle0 ("where" ane0 and a,b,c,...

If `b^(2)-4acle0` ("where" `ane0 and a,b,c,x,y in R`) satisfies the system `ax^(2)+x(b-3)+c+y=0 and ay^(2)+y(b-1)+c+3x=0`, then value of `(y)/(x)` is ___________.

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Verified by Experts

The correct Answer is:
3
Given equations are
`ax^(2)+bx+c=3x-y" "...(1)`
`ay^(2)+by+c=y-3x" "...(2)`
Now, `b^(2)-4acge 0`
`therefore ax^(2)+bx+cle0anday^(2)+by+cle0`
`therefore 3x-yge0andy-3xge0`
`rArr3x=y`
or
`therefore ax^(2)+bx+cle0anday^(2)+by+cle0`.
`therefore3x-yle0 and y-3xle0`
`rArr 3x=y`
So, `(y)/(x)=3`
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