Ask Questions, Get Answers

Want to ask us a question? Click here
Browse Questions
Home  >>  CBSE XI  >>  Math  >>  Mathematical Reasoning
0 votes

Show that the statement "For any real numbers $a$ and $b$, $a^2=b^2$ implies that $a=b$" is not true by giving counter example.

Can you answer this question?

1 Answer

0 votes
The given statement is
"For any real numbers $a$ and $b$, $a^2=b^2$ implies that $a=b$"
To show that this statement is false,
Let $a=5$ and $b=-5$
Here $a^2=25$ and $b^2=25$
$i.e.,$ $a^2=b^2$. But $5\neq -5$ $i.e.,$ $a\neq b$
$\therefore$ The given statement is false.
answered Jul 26, 2014 by rvidyagovindarajan_1

Related questions

Ask Question
student study plans
JEE MAIN, CBSE, NEET Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App