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Question -

If a2 + b2 + c2 = 20 and a + b + c = 0, find ab + bc + ca.



Answer -

a2┬а+b2┬а+ c2┬а= 20, a + b + c = 0
тИ┤ (a + b+ c)2┬а= 0
a2┬а+ b2┬а+ c2┬а+ 2(ab + bc + ca)= 0
тЗТ┬а20 + 2(ab + be + ca) = 0
тЗТ┬а2(ab + bc + ca) = -20
ab + bc + ca =┬а
тИТ202┬а=-10

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