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If $a>0$ and $b^2-4 a c=0$, then the curve $y=a x^2+b x+c$
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touches the $x$-axis and lies above it
Given, $y=a x^2+b x+c$
Since, $a>0$ and $b^2-4 a c=0$
Therefore, given curve touch the $x$-axis and lies above it.
Since, $a>0$ and $b^2-4 a c=0$
Therefore, given curve touch the $x$-axis and lies above it.
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