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If a,b, c in Q then roots of the equatio...

If `a,b, c in Q` then roots of the equation `(b+c-2a)x^(2)+(c+a-2b)x+(a+b-2c)=0` are

A

irrational

B

non-real

C

rational

D

equal

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • If a+b+c=0, then the roots of the equation (b+c-a) x^(2)+(c+a-b) x + (a+b-c)=0 are

    A
    imaginary
    B
    real and equal
    C
    real and unequal
    D
    none of these

  • If a+b+c=0, a,b,c in Q then roots of the equation (b+c-a) x ^(2) + (c+a-c) =0 are:

    A
    rational
    B
    irrational
    C
    imaginary
    D
    none of these

  • The roots of the equation (b-c) x^(2)+ (c-a) x + (a-b)=0 are

    A
    `(c-a)/(b-c),1`
    B
    `(a-b)/(b-c),1`
    C
    `(b-c)/(a-b),1`
    D
    `(c-a)/(a-b),1`

    • Similar Questions

    Explore conceptually related problems

    If a+b+c=0 and a,b,c are ratiional. Prove that the roots of the equation (b+c-a)x^(2)+(c+a-b)x+(a+b-c)=0 are rational.

    The roots of the quadratic equation (a+b-2c)x^(2)+(2a-b-c)x+(a-2b+c)=0 are

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    The roots of the equation a(b-2x)x^(2)+b(c-2a)x+c(a-2b)=0 are, when ab+bc+ca=0

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