AP EAMCET · Maths · Functions
The set of all solutions of the inequation \(x^2-2 x+5 \leq 0\) in \(R\) is
- A \(R-(-\infty,-5)\)
- B \(R-(5,\infty)\)
- C \(\phi\)
- D \(R-(-\infty,-4)\)
Answer & Solution
Correct Answer
(C) \(\phi\)
Step-by-step Solution
Detailed explanation
Given inequation is \(x^2-2 x+5 \leq 0\). \(\therefore\) Roots are \[ x=\frac{+2 \pm \sqrt{4-20}}{2}=\frac{2 \pm 4 i}{2} \] \(\therefore\) Roots are imaginary, therefore no real solutions exist.
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