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If (x-a)^(3)+(x-b)^(3)+(x-c)^(3)-3(x-a)...

If `(x-a)^(3)+(x-b)^(3)+(x-c)^(3)-3(x-a)(x-b)(x-c)=0` , then x =

A

a

B

b

C

c

D

`(a+b+c)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • If (a^3(x-b)(x-c)(x-d))/((a-b)(a-c)(a-d))+(b^3(x-c)(x-d)(x-a))/((b-c)(b-d)(b-a))+(c^3(x-d)(x-a)(x-b))/((c-d)(c-a)(c-b))+(d^3(x-a)(x-b)(x-c))/((d-a)(b-d)(d-c)) =x^3 ,then the equation having

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    B
    one real and two imaginary roots
    C
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    D
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  • If (x-a)//(b+c) + (y-b)//(c+a)+(x-c)//(a+b) = 3 then the value of x is

    A
    abc
    B
    1/(abc)
    C
    a+b+c
    D
    1/(a+b+c)

  • If (x-a)/(b+c) + (x-b)/(c+a) + (x-c)/(a+b)=3 and 1/(b+c) +1/(c+a) +1 /(a+b) != ,then the value of x is

    A
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    C
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    D
    c+a-b

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