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A quadratic equation whose roots are ((g...

A quadratic equation whose roots are `((gamma)/(alpha))^(2)` and `((beta)/(alpha))^(2)` , where `alpha , beta , gamma` are roots of `x^(3) + 27 = 0 `, is :

A

`x^(2) -x + 1 = 0`

B

`x^(2) + 3x + 9 = 0`

C

`x^(2) + x + 1 =0`

D

`x^(2) - 3x + 9 = 0`

Text Solution

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The correct Answer is:
C
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MODERN PUBLICATION-QUADRATIC EQUATIONS -MULTIPLE CHOICE QUESTIONS (LEVEL-II)
  1. The number of real solutions of the equation : | x^(2) + 4x + 3 | + ...

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  2. Let p, p ne { 1,2,3,4}. The number of equations of the form px^(2) + q...

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  3. A quadratic equation whose roots are ((gamma)/(alpha))^(2) and ((beta...

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  4. If alpha and beta be the roots of the equation x^(2) + 7x + 12 = 0. T...

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  5. If the ratio of the equation x^(2) + qx + r = 0 , is the same as that ...

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  6. If (1 + 2i) is a root of the equation x^(2) + bx + c = 0 . Where b and...

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  7. The non-trival values of (a,b) such that roots of the equation x^(2) +...

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  8. The number of values of 'k' for which the equation x^(2) - 3x + k = 0 ...

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  9. If the roots of the equation (x^(2) -bx)/(ax - c) = (lambda - 1)/(lamb...

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  10. If b gta, then the equation (x -a)(x - b) - 1 = 0 has :

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  11. Let f (x) = (1 + b)^(2) x^(2) + 2bx + 1 and let m(b) be the minimum ...

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  12. The number of solutions of : log(4) (x - 1)= log(2) (x - 3) is :

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  13. If alpha ne beta and alpha^(2) = 5 alpha - 3, beta^(2) = 5 beta - 3 , ...

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  14. The number of real roots of 3^2x^2-7x+7=9 is (A) 0 (B) 2 (C) 1 (D) 4

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  15. The number of values of k, for which the system of eauations: (k+1)x...

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  16. The set of all real numbers x for which x^2-|x+2| +x gt 0 is

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  17. Find the value of a for which one root of the quadratic equation (a^2-...

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  18. If minimum value of f(x)=(x^(2)+2bx+2c^(2)) is greater than the maximu...

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  19. If (1 - p) is a root of quadratic equation x^(2) + px + (1 - p) = 0 , ...

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  20. If one root of the equation x^(2) + px + q = 0 is square of the other...

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