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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)
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  2. If alpha , beta are roots of 375x^(2) - 25x - 2 = 0 and s(n) = alpha^...

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

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  4. If alpha, beta are the roots of lambda(x^(2)+x)+x+5=0 and lambda(1), l...

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  5. The least integer satisfying : 49.4 - ((27 - x)/(10)) lt 47.4 - ((2...

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  6. If the equation ax^(2) + 2bx - 3c = 0 has non-real roots and ((3c)/(4)...

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  7. Let a, b, c be positive real numbers. The following system of equation...

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  8. If f (x) = x - [x], x (ne 0 ) in R, where [x] is the greatest integer ...

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  9. The real values of x for which 3^(72) ((1)/(3))^(x) ((1)/(3))^(sqrt(x)...

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  10. If the ratio of the roots of a(1)x^(2) + b(1) x + c(1) = 0 be equal ...

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  11. If the product of the roots of the equation x^(2) - 3kx + 2e^(2 log k)...

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  12. If a + b + c = 0, then x^((a^(2))/(bc)), x^((b^(2))/(ca)) , x((c^(2))/...

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  13. The equation ax^(2) + bx + c = 0 , where a, b,c are real number conne...

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  14. If 3p^(2) = 5p + 2 and 3q^(2) = 5q + 2, where p ne q , then the equati...

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  15. If P(x) = ax^(2) + bx + c and Q(x) = -ax^(2) + dx + c, where ac ne 0 ...

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  16. If one root of the ax^(2) + bx + c = 0 is equal to nth power of the o...

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  17. The number of real solutions of the equation : | x^(2) + 4x + 3 | + ...

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

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

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

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