COMEDK · Maths · 24. Functions
The domain of the function \(y=\sqrt{x-2}+\sqrt{1-x}\) is
- A \(x \leq 2\)
- B \(x \geq 2\)
- C Null set
- D The set of all numbers
Answer & Solution
Correct Answer
(C) Null set
Step-by-step Solution
Detailed explanation
Given, function is \[ y=\sqrt{x-2}+\sqrt{1-x} \] Since, \(x-2 \geq 0\) and \(1-x \geq 0\) \(\begin{array}{ll}\Rightarrow & x \geq 2 \quad \text{...(i)}\\ \Rightarrow & x \leq 1 \quad \text{...(ii)} \\ \therefore \text { From Eqs. (i) and (ii), } x=\phi\end{array}\)
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