Question

What is the opposite and the reciprocal of -1 respectively?
(a). 1 and $ - 1$
(b). $1$ and $1$
(c). Cannot be determined
(d). None of these

Answer 1

Hint: The given problem revolves around the most eccentric concepts of reciprocals and the opposite, which is the most influencing factor in the field of algebra and geometry respectively. As a result, the terms OPPOSITE and RECIPROCALS are the two different parameters having variants in their respective signs between the two.

Complete step-by-step solution:
Since, we have to find the respective opposite and reciprocal of -1,
Basically, the opposite of any constraint number or any parameter seems to be frontal in the sense of negative to positive sign particularly.
As a result, it is defined as the opposite of -1 is $1$.
And that for the reciprocalness for any instance,
It is defined as,
Such as in certain conditions we take reciprocal on both sides $($ which is also known as ‘multiplicative inverse’$)$ means dividing the equation with respect to on that is, $\dfrac{1}{x}=x^{-1}$ where, ‘’x is any number) !
As a result, the reciprocal of seems to equals that,
$\dfrac{1}{{\left( { - 1} \right)}} = {\left( { - 1} \right)^{ - 1}}$
$ = \left( { - 1} \right)$
$\therefore$ The option (a) is correct!

Note: One must able to know the basic mathematics such as solving the algebraic equations by adding, subtracting, multiplication, dividing, etc. which seems to be efficient while solving the complex algebraic solutions and in geometry too (also, real life problems or applications based on mensuration of measurement). Remember the factors asked in the question are extremely different, so as to be sure of our final answer.