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Ifa^(2)+b^(2)+c^(2)=1 then ab+bc+ca lies...

If`a^(2)+b^(2)+c^(2)=1` then `ab+bc+ca` lies in the interval

A

`[1,2]`

B

`[0, (1)/(2)]`

C

`[-(1)/(2) , 1]`

D

`[0,1]`

Text Solution

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The correct Answer is:
C
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