JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

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Analyzing +4 | -1

f\;:R \to R

is defined by

f\left( x \right) = x - \left[ x \right] - \frac{1}{2}

for all

x \in R,

, where

\left[ x \right]

denotes the greatest integer function, then

\left\{ {x \in R\;:f\left( x \right) = \frac{1}{2}} \right\}

is equal to

View answer and explanation

Correct option: C

\phi

The correct answer is C (

\phi

) because the equation f(x) = 1/2 leads to a contradiction, implying there are no real solutions for x.

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