Think again

Algebra Level 3

If a a is any real number, then a a \dfrac{a}{a} is always equals to:

There is no fixed value. Undefined. 1

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2 solutions

Rishabh Jain
Jan 21, 2016

For a = 0 , a a \Large a=0,~ \color{forestgreen}{\dfrac{a}{a}} is undefined. While for a 0 , a a \Large a\neq 0, \color{forestgreen}{\dfrac{a}{a}} is 1. Hence the correct option is

There is no fixed value. \color{goldenrod}{\text{There is no fixed value.}}

But "None of the choices" is a choice. Thus creating a rip in the spacetime continuum.

Isaac Buckley - 5 years, 4 months ago

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Yeah... exactly... Nice observation... We are actually selecting one choice instead of the fact that the correct answer is ' N o n e None of the choices'.

Rishabh Jain - 5 years, 4 months ago

'None of the other choices' will do.

Kushagra Sahni - 5 years, 4 months ago

Thanks, i have edited the choices so that there is no "rip in the spacetime continuum."

Aareyan Manzoor - 5 years, 4 months ago
Sravanth C.
Jan 21, 2016

If a a is a real number, the the value of a a \dfrac aa is always equal to 1 1 , for all reals except 0 0 , because when you substitute a = 0 a=0 we get: 0 0 \dfrac 00 which is not defined. Hence the answer is None of the above.

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