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The transformed equation of x^(3) - (5)/...

The transformed equation of `x^(3) - (5)/(2) x^(2) - (7)/(18) x + (1)/(108) = 0 `, by removing fractional coefficients, is

A

`x^(4) - 25x^(3) + 357x^(2) - 11700 = 0 `

B

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

C

`x^(3) - 3x^(2) - 24x - 216 = 0 `

D

`x^(3) - 15x^(2) - 14x + 2 = 0`

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When the origin is shifted to the point (2 , 3) the transformed equation of a curve is x^(2) + 3xy - 2y^(2) + 17 x - 7y - 11 = 0 . Find the original equation of curve.

DIPTI PUBLICATION ( AP EAMET)-THEORY OF EQUATIONS-EXERCISE 1B
  1. The transformed equation of x^(3) - 4x^(2) + (1)/(4)x - (1)/(9) = 0 , ...

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  2. The transformed equation with integer coefficients and unity for the c...

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  3. The transformed equation of x^(3) - (5)/(2) x^(2) - (7)/(18) x + (1)/(...

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  4. The transformed equation of a^(4) b^(3) x^(4) + a^(3) b^(2) x^(3) + a^...

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  5. The transformed equation of x^(3) - 6x^(2) + 5x + 8 = 0, by eliminatin...

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  6. Each of the roots of the equation x^(3) - 6x^(2) + 6x - 5 = 0 are incr...

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  7. The transformed equation of x^(4) + 8x^(3) + x - 5 = 0 by eliminating ...

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  8. The transformed equation of x^(4) + 4x^(3) + 2x^(2) - 4x - 2 = 0, by e...

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  9. The transformed equation of x^(5) + 5x^(4) + 3x^(3) + x^(2) + x -1 = 0...

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  10. Number of transformed equations of x^3 +2x^2 +x+1=0 by eliminating...

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  11. The transformed equation of x^(4) + 2x^(3) - 12x^(2) + 2x - 1= 0 by e...

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  12. The equation whose roots are square of the roots of x^(3) - 2x^(2) - 2...

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  13. The cubic equation whose roots are the squares of the roots of x^(3) -...

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  14. The equation whose roots are square of the roots of x^(3) + x^(2) + x ...

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  15. Find the polynomial equation whose roots are the squares of the roots ...

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  16. The equation whose roots are square of the roots of x^(4) + x^(3) + x^...

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

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  18. Form the polynomial equation whose roots are cubes of the roots of x^...

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  19. If alpha , beta , gamma are the roots of x^(3) + qx + r = 0 then the e...

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  20. If alpha, beta, gamma are the roots of x^(3) + 2x + 5 = 0 thent the eq...

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