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Show that the roots of (x-b)(x-c)+(x-c)(...

Show that the roots of `(x-b)(x-c)+(x-c)(x-a)+(x-a)(x-b)=0` are real, and that they cannot be equal unless a=b=c.

A

`a gt b gt bt c`

B

`a=b=c`

C

`a lt b lt c`

D

a+b+c=0

Text Solution

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The correct Answer is:
B
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