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The equation whose roots are reciprocals...

The equation whose roots are reciprocals of the roots of `6x^(6) - 25x^(5) + 31x^(4) - 31x^(2)` + 25x - 6 = 0 ` is

A

`x^(3) - 6x^(2) + 7x + 2 = 0 `

B

`4x^(3) - 2x^(3) + 6x^(2) - 3x - 1 = 0`

C

`6x^(6) - 25x^(5) + 31x^(4) - 31x^(2) + 25x - 6 = 0`

D

`x^(4) + 3x^(3) + 4x^(2) - 28x - 16 = 0`

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Find the equation whose roots are reciprocals of the roots of 5x^(2)+6x+7=0 .

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Find the equation whose roots are squares of the roots of x^4 +x^3 +2x^2 +x +1=0

DIPTI PUBLICATION ( AP EAMET)-THEORY OF EQUATIONS-EXERCISE 1B
  1. If 1, -2, 3 are the roots of ax^(3) + bx^(2) + cx + d = 0 then the roo...

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  2. If the roots of ax^(3) + bx^(2) +cx + d = 0 are in G.P. then the root...

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  3. The equation whose roots are reciprocals of the roots of 6x^(6) - 25x^...

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  4. Let alpha ne 1 be a real root of the equation x^(3) - ax^(2) + ax - 1 ...

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  5. If 3/4, -5/2, 1/2 , -3 are the roots of ax^(4) + bx^(3) + cx^(2) + dx ...

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  6. If the roots of ax^(3) + bx^(2) + cx +d = 0 are in A.P then the roots ...

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  7. If the roots of ax^(3) + bx^(2) + cx +d = 0 are in H.P then the roots ...

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  8. If the roots of ax^(3) + bx^(2) + cx +d = 0 are in G.P then the roots ...

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  9. The equation whose roots are exceed by 1 then those of x^(3) - 5x^(2) ...

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  10. The equation whose roots are exceed by 2 then those x^(4) + x^(3) - 10...

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  11. The equation whose roots are exceed by 1 then those of x^(5) + 5x^(4) ...

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  12. The equation whose roots are diminish by 1 than those of x^(3) + 2x^(2...

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  13. The equation whose roots are diminish by 3 then those of x^(4) - 5x^(3...

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  14. The equation whose roots are diminish by 3 then those x^(5) - 4x^(4) +...

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  15. If 2, -3 , 5 are the roots of ax^(3) + bx^(2) + cx + d = 0 then the ro...

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  16. If pm 2, pm 3 are the roots of ax^(4) + bx^(3) + cx^(2) + dx + e = 0...

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  17. If the roots of ax^3 + bx^2 + cx +d=0 are in A.P then the roots...

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  18. Form the equation whose roots are m times the roots of the equation x^...

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  19. The transformed equation with integer coeficients whose roots are mul...

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  20. The transformed equation with integer co-effcients whose roots ...

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