If ${a^2} + {b^2} + {c^2} = 1,$ then $ab + bc + ca\;$ lies in the interval

$\left[ {0,\frac{1}{2}} \right]$

JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

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Application +4 | -1

{a^2} + {b^2} + {c^2} = 1,

then

ab + bc + ca\;

lies in the interval

View answer and explanation

Correct option: A

\left[ { - \frac{1}{2},1} \right]

Option A

\left[ { - \frac{1}{2},1} \right]

is correct because it represents the interval in which

ab + bc + ca

lies, derived from the given condition and algebraic manipulations.

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