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The equation whose roots are multiplied...

The equation whose roots are multiplied by 3 of those of `2x^(3) - 3x^(2) + 4x - 5 = 0` is

A

`x^(3) - x^(2) + 6x - 8 = 0`

B

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

C

`2x^(3) - 9x^(2) + 36x - 135 = 0`

D

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

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The equation whose roots are multipled by 3 of those of 2x ^2 +3x -1=0 is

A : the equation whose roots are multiplied by 2 of those of x^(5) - 2x^(4) + 3x^(3) - 2x^(2) + 4x + 3 =0 is x^(5) - 4x^(4) + 12x^(3) - 16x^(2) + 64x + 96 = 0 . R: the equation whose roots are multiplied by k of those of f(x) = 0 is f(x/k) = 0.

The equation whose roots are exceed by 1 then those of x^(3) - 5x^(2) + 6x - 3 = 0 is

A : the equation whose roots are exceed by 2 than those of 2x^(3) + 3x^(2) - 4x + 5 =0 is 2x^(3) - 9x^(2) + 8x + 9 =0 R : the equation whose roots are exceed by h than those of f(x) = 0 is f(x - h)= 0.

Assertion (A ) : the equation whose roos are multipled of by 2 of those of x^5 - 2x^4 +3x^3 -2x^2 +4x +3=0 is x^5 - 4x^4 +12 x^3 -16 x^2 +64 x+96=0 Reason (R ) : the equation whose roots are muliplied by k of those of f(x ) =0 is f((x )/(k ))=0

DIPTI PUBLICATION ( AP EAMET)-THEORY OF EQUATIONS-EXERCISE 1B
  1. The equation whose roots are the negatives of the roots of the equatio...

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  2. If -2, 5, 7, - 11 are the roots of ax^(4) + bx^(3) +cx^(2) + dx + e =...

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  3. The equation whose roots are multiplied by 3 of those of 2x^(3) - 3x^...

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

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  5. The cubic equation whose roots are thrice to each of the roots of x^(3...

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  6. Find the algebraic equation whose roots are 2 times the roots of x^5...

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  7. If alpha, beta, gamma are the roots of x^(3) + 2x^(2) - 4x - 3 = 0 the...

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  8. If 2, - 2, 4 are the roots of ax^(3) + bx^(2) + cx + d = 0 then the ...

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  9. If 1, -2, 3 are the roots of ax^(3) + bx^(2) + cx + d = 0 then the roo...

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

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

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

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

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

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

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

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

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

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

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