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

If a + b + c = 0, then `x^((a^(2))/(bc)), x^((b^(2))/(ca)) , x((c^(2))/(ab))` equals :

A

1

B

x

C

`x^(2)`

D

`x^(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
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MODERN PUBLICATION-QUADRATIC EQUATIONS -MULTIPLE CHOICE QUESTIONS (LEVEL-II)
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  2. If the product of the roots of the equation x^(2) - 3kx + 2e^(2 log k)...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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