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If a+b+c=0 and a,b,c are rational. Prove...

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

A

Rational

B

Irrational

C

Imaginary

D

Equal

Text Solution

Verified by Experts

The correct Answer is:
A
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AAKASH INSTITUTE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-Assignment (Section -B) (objective Type Questions ( one option is correct)
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  20. if p,q,r are real numbers satisfying the condition p + q +r =0 , then ...

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