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The quadratic equation for which th...

The quadratic equation for which the sum of the roots is `12` and the sum of the cubes of the roots is 468 is

A

`x^2 - 7x +12=0`

B

` x^2 +- 54x +6=0`

C

` x^2 - 12 x + 35 =0`

D

` 5x^2 +2x +11=0`

Text Solution

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-QUADRATIC EXPRESSIONS-EXERCISE 1A (QUADRATIC EQUATIONS)
  1. IF alpha , beta are the roots of the equation x^2+2ax +b=0 , the...

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  2. The quadratic equation for which the sum of the roots is 7 and...

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  3. The quadratic equation for which the sum of the roots is 12 an...

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  4. IF alpha + beta =- 2 and alpha ^3 + beta ^3 =- 56 , then the ...

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  5. Two complex numbers alpha and beta are such that alpha + ...

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  6. IF the arithmetic mean of the roots of a quadratic equation is...

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  7. Let two numbers have arthmetic mean 9 geometric mean 4. then...

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  8. The equation whose roots are the arthmatic mean and twice the ...

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  9. IF alpha, beta are the roots of 9x^2+6x+1=0 then the equation ...

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  10. The equation whose roots are greater by 1 than those of 2x ^2-3x ...

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  11. IF alpha , beta are the roots of ax^2 + bx +c=0 then the equat...

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  12. The equation whose roots are smaller by 1 then those of 2x ^2-5...

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  13. the equation formed by decreasing each root of ax ^2 +bx+C=0 by...

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  14. If alpha , beta are the roots of a ^2 x + bx +c=0 and alpha + ...

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  15. IF alpha , beta are the roots of x^2+bx +c=0 and alpha + h, b...

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  16. IF alpha and beta are the roots of the equation ax ^2+bx +C=...

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  17. The equation whose roots are numerically equal but opposite in ...

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  18. The equation whose roots are multipled by 3 of those of 2x ^2 ...

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  19. The condition that one root of ax ^2+bx +c=0 may be n times th...

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  20. The condition that one root of ax ^2 + bx +c=0 may be the dou...

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