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If `alpha , beta, gamma` are the roots of the equation `x^3-4x^2+3x-1=0`, then the equation whose roots are `(alpha+beta+gamma), alphabetagamma` is :

A

`x^2-4x+5=0`

B

`x^2-5x-4=0`

C

`x^2-5x+4=0`

D

`x^3+5x+4=0`

Text Solution

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The correct Answer is:
C
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PREMIERS PUBLISHERS-THEORY OF EQUATIONS-Problems for practice (Choose the correct answer )
  1. The number of solution of x^2+|x+1|=1 is :

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

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  3. The sum of square of roots of the equation 2x^4+x^2+x+2=0 is :

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  4. If alpha , beta, gamma are the roots of the equation x^3-4x^2+3x-1=0,...

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  5. Form a polynomial equation with integer coefficients with sqrt((sqrt2)...

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  6. A straight line and parabola cannot intersect at more than points.

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  7. If a,b,c are rational , the roots of equation x^2-2ax+(a^2-b^2+2bc-c^...

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  8. If x^(2) + ax + 1 is a factor of ax^(3) + bx + c, them find the condi...

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  9. According to the rational root equation which number is not possible ...

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  10. P(x)=x^5-4x^3+2x^2+x+7 cannot have more than positive real root.

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  11. The value of k for which the equation x^2+kx+25=0 has equal roots is

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  12. If alphabetagamma are the roots of x^3-3x^2+4x+1=0 then sum1/(alphabet...

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  13. The only real root of x^3+2x^2+2x+1=0 is

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  14. Find the correct statement for the following :

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  15. Find the incorrect statement for the following :

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  16. Identify the correct pair from the following statements: (i)For an ...

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  17. Find the odd one out : If sqrtp+sqrtq is a root of a polynomial eq...

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  18. Assertion: The polynomial 5x^9+3x^5-x^4-2x^2+5 has atleast six imagina...

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  19. Find the odd one out : Given x^3-5x^2+6x=0

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  20. If x^2+2(k+2)x+9k=0 has equal roots then k is :

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