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If roots of the equation ax^2 + bx + c =...

If roots of the equation `ax^2 + bx + c = 0` are `alpha/(alpha-1)` and `(alpha+1)/alpha` and then `(a+b+c)^2` equals

A

`b^(2)-2ac`

B

`b^(2)-4ac`

C

`2b^(2)-ac`

D

`4b^(2)-2ac`

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The correct Answer is:
B
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ARIHANT SSC-THEORY OF EQUATIONS-EXERCISE(LEVEL 1)
  1. The ratio of the roots of the equation ax^(2)+bx+c=0 is same as the ra...

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  2. If every pair from among the equations x^2+px+qr=0,x^2+qx+rp=0 and x...

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  3. If roots of the equation ax^2 + bx + c = 0 are alpha/(alpha-1) and (a...

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

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

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

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

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

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

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

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  11. If x^(2)-ax-21=0 and x^(2)-3ax+35=0, a gt 0 have a common root, then a...

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

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

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

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

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

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

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

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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. Find the number of real roots of the equation (x-1)^2+(x-2)^2+(x-3)^2=...

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