If a 2 + b 2 + c 2 = 1, then ab + bc + ca lies in the interval

Mathematics · JEE Advanced · NTA ExamsSets, Relations and Functions

If a2 + b2 + c2 = 1, then ab + bc + ca lies in the interval
  1. \(\left[-\frac{1}{2}, 1\right]\)
  2. \(\left[0, \frac{1}{2}\right]\)
  3. [0, 1]
  4. [1, 2]

Answer

(A) [- 1 2 , 1 ]

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