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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.
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise14-5
sec-b
easy
q4-2
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asked
Jul 29, 2014
by
rvidyagovindarajan_1
retagged
Aug 4, 2014
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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.
answered
Jul 29, 2014
by
rvidyagovindarajan_1
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