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If the roots of ax^(3) + bx^(2) + cx +d ...

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

A

A.P

B

G.P

C

H.P

D

none

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DIPTI PUBLICATION ( AP EAMET)-THEORY OF EQUATIONS-EXERCISE 1B
  1. Let alpha ne 1 be a real root of the equation x^(3) - ax^(2) + ax - 1 ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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