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Questions  >>  CBSE XI  >>  Math  >>  Mathematical Reasoning
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By giving counter example show that the statement "The equation $x^2-1=0$ does not have a root lying between $0$ and $2$." is false.

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The given statement is
The equation $x^2-1=0$ does not have a root lying between $0$ and $2$."
Let $y$ be a root of $x^2-1=0$ and let $y \notin (0,2)$
$\Rightarrow\:y^2-1=0$, $\Rightarrow\:y=\pm1$
$1$ lies in $(0,2)$
$\therefore$ The given statement is not true.
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