[ ( x _ 1 - x _ 2 ]^ 2 + [12+ 1- x _ 1 ^ 2 - 4 x _ 2 ]^ 2 ] x _ 1 , x _ 2 R is
Mathematics · JEE Main · NTA Exams — Sets, Relations and Functions
\(\min \left[\left(\mathbf{x}_{1}-\mathbf{x}_{2}\right]^{2}+\left[12+\sqrt{1-\mathbf{x}_{1}^{2}}-\sqrt{4 \mathbf{x}_{2}}\right]^{2}\right] \forall \mathbf{x}_{1}, \mathbf{x}_{2} \in R\) is
- \(4 \sqrt{5}+1\)
- \(4 \sqrt{5}-1\)
- \(\sqrt{5}+1\)
- \(\sqrt{5}-1\)
Answer
(B) 4 5 -1
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