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JEE Advance - Mathematics (1984 - No. 19)
If $$\,{a^2} + {b^2} + {c^2} = 1$$, then ab + bc + ca lies in the interval
$$[{1 \over 2},2]\,\,$$
$$[ - 1,2]$$
$$\,[ - {1 \over 2},1]\,$$
$$\,[ - 1,{1 \over 2}]\,\,$$
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