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If every pair from among the equations `x^2+px+qr=0,x^2+qx+rp=0` and `x^2+rx+pq=0` has a common root, then the sum of the three common roots is

A

`2(p+q+r)`

B

`p+q+r`

C

`-(p+q+r)`

D

`pqr`

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The correct Answer is:
B
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ARIHANT SSC-THEORY OF EQUATIONS-EXERCISE(LEVEL 1)
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  4. If roots of the equation ax^2 + bx + c = 0 are alpha/(alpha-1) and (a...

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  5. Equation ax^(2)+2x+1 has one double root if :

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  6. Find the number of quadratic equations, which are unchanged by squarin...

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  7. Find the value of sqrt(6+sqrt(6+sqrt(6+...oo)))

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  8. If alpha, beta, gamma, are the roots of the equation x^(3)+3x-1=0, the...

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  9. If f(x)=(x^(2)-x+1)/(x^(2)+x+1) ,then find f(1+b)

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  10. If x= sqrt(2 +sqrt( 2 +sqrt( 2 + ...))) then rrots of x

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  13. If alpha, beta, gamma are such that alpha +beta+gamma=2, alpha^(2)+bet...

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  14. The real values of a for which the quadratic equation 2x^2-(a^(3)+8a-1...

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  15. If alpha, beta are the roots of ax^(2)+bx+c=0 and alpha+k, beta+k are ...

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  16. If alpha, beta in R, are the roots of the equation ax^(2)+bx+c=0, k in...

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  17. If the equation x^(2) + 2 (1 + k ļx +k^(2)) = 0 has equal roots, then ...

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  18. The least integral value of 'a' for which the equation x^2+2(a - 1)...

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  19. The number of real soltuions of the equation 2^(3x^(2)-7x+4)=1 is :

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  20. The number of real soltuions of the equation 2^(3x^(2)-7x+4)=1 is :

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