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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

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

B

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

C

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

D

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

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The correct Answer is:
A
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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

AAKASH SERIES-THEORY OF EQUATIONS-EXERCISE-I
  1. If alpha , beta , gamma are the roots of the equation x^3 +px...

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  2. If alpha , beta , gamma are the roots of x^3 +2x^2 -3x -1=0 the...

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  3. If f(x) =x^4 + 3x ^2 - 6x -2 then the coefficient of x^3 in ...

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

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

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  6. The equation whose roots are those of equation x^4 - 3x^3 +5x...

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  7. If alpha , beta , gamma are the roots of x^3 +x^2 + 2x +3=0 th...

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  8. If alpha , beta , gamma are the roots of x^3 + 3x^2 -4x +2=0 t...

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  9. to remove the 2^(nd) term of the equation x^4 -10 x^3 +35 x^2 -5...

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

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

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  12. If the roots of x^4 +5x^3 - 30 x^2 - 40 x+64=0 are in G.P then...

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

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

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  15. If 1,3,4,0 are the roots of ax^4 +bx^3 +cx^2 +dx +e =0 then the...

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  16. The reciprocal equation is

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  17. The equation x^4 + 3x^3 -3x -1=0 is a reciproca, equation of

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  18. The reciprocal equation is

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  19. If alpha is a positive root of the equation x^4 +x^3 -4x^2 +x...

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  20. If 2,3 are two roots of the reciprocal equation 6x^5 - 29 x^4 ...

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