MCQ
વિધેય $f(x) = \sqrt {x - {x^2}} + \sqrt {4 + x} + \sqrt {4 - x} $ નો પ્રદેશ મેળવો.
- A$[ - 4,\;\infty )$
- B$[-4, 4]$
- C$[0, 4]$
- ✓$[0, 1]$
Clearly $f(x)$ is defined, if $4 + x \ge 0$ ==> $x \ge - 4$
$4 - x \ge 0$ ==> $x \le 4$
$x(1 - x) \ge 0$ ==> $x \ge 0$ and $x \le 1$
$\therefore$ Domain of $f = ( - \infty ,\,4] \cap [ - 4,\,\infty ) \cap [0,\,1]$$ = [0,\,1]$.
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.