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If ` alpha , beta ` are the roots of ` x^2+ax -b=0` and ` gamma , sigma ` are the roots of `x^2 + ax +b=0` then ` (alpha - gamma )(beta - gamma )( alpha - sigma )( beta - sigma )=`

A

`4b^(2)`

B

`b^(2)`

C

`2b^(2)`

D

`3b^(2)`

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The correct Answer is:
A
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AAKASH SERIES-QUADRATIC EQUATIONS & EXPRESSIONS-EXERCISE-I
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  2. The values of p for which the difference between the roots of the equa...

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  3. If alpha , beta are the roots of x^2+ax -b=0 and gamma , sig...

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  4. If the roots of x^(2)-bx+c=0 are two consecutive integers, then b^(2) ...

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  5. If p != 0, q != 0 and the roots of x^(2) + px +q = 0 are p and q, then...

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  6. IF the sum of the square of the roots of x ^2+px -3=0 is 10 t...

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  7. If 8 and 2 are the roots of x^2 + ax + beta = 0 and 3,3 are...

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  8. IF k gt 0 and the product of the roots of the equation x^2 - 3kx...

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  9. If x+1 is a factor of x^(4) +(p - 3)x^(3) - (3p-5)x^(2) + (2p-9)x +6, ...

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  10. If sin theta, cos theta are the roots of 6x^(2)-px+1=0, then p^(2) =

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  11. Which of the following statements are correct E(1)) If a + b + c = 0...

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  12. IF alpha , beta are the roots of the equation ax^2+ bx +c=0the...

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  13. If alpha, beta are the roots of x^(2) - x + 1 = 0 then the quadratic e...

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  14. the equation formed by decreasing each root of ax ^2 +bx+C=0 by...

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  15. If alpha, beta are the roots of x^(2)+2x-1=0, then the equation whose ...

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  16. If alpha, beta are the roots of x^(2)+6x+9=0, then the equation whose ...

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  17. The equation whose roots are 'K' times the roots of the equation ax^(2...

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  18. If alpha, beta be the roots of the equation ax^(2)+bx+c=0, then the ro...

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  19. If alpha, beta are the roots of x^(2)+2x+5=0, then the equation whose ...

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  20. If r is the ratio of the roots of ax ^2 + bx +C=0 then ((r +1)^2)...

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