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Q.

If a2+b2+c2=3  then the range of ab+bc+ca is

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a

[−32, 3]

b

[−12, ∞)

c

[1, ∞)

d

(−∞,  1]

answer is A.

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Detailed Solution

a2+b2+c2=p=3             Range of ab+bc+ca=[−ρ2,ρ] = -32,3
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If a2+b2+c2=3  then the range of ab+bc+ca is