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If ` alpha , beta ` are the roots of ` x^2 + px +1=0` and ` gamma , delta ` are the roots of ` x^2 +qx +1=0` then `(alpha - gamma )(beta - gamma)(alpha + delta )( beta + delta )=`

A

`2p^2`

B

`2p^2`

C

`p^2-q^2`

D

`q^2-p^2`

Text Solution

Verified by Experts

The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-QUADRATIC EXPRESSIONS-EXERCISE 1A (QUADRATIC EQUATIONS)
  1. If alpha , beta are the roots of x^2+ax -b=0 and gamma , sig...

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  2. If alpha , beta are the roots of x^2 +px -q=0 and gamma , de...

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

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  4. If alpha , beta are the roots of ax ^2+2bx +c=0 and alpha + si...

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  5. alpha , beta are the roots of ax ^2+bx +c=0 and gamma , sigma...

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  6. The ratio of the roots of the equation ax ^2 + bx +c=0 is same ...

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  7. alpha , beta are the roots of ax ^2+bx +c=0 and gamma , sigma...

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  8. Let p and q be the roots of x^2 - 2x + A =0 and let r and s b...

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  9. Let x1 , x2 , be the roots of the equation x^2 - 3x +p=0 an...

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  10. Let alpha , beta be the roots of x^2 - x +p=0 and gamma , ...

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  11. x1 and x3 are the roots of the equation Ax ^2 - 4x +1=0 and x2...

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  12. The coefficient of x in a quadratic equation x^2 + px +q=0 was ...

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  13. The students while solving a quadratic equation in x, one copi...

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

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  15. IF x1 and x2 are the real roots of the equation x^2 - kx +c=...

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  16. If one root of the equation I x ^2 - 2(1+i) x+ (2-i) =0 is 2- I ...

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  17. If one root of x^2+ax +8=0 is 4 and the equation x^2 + ax +b=0...

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  18. IF the roots of the equation x^2-5x +16=0 are alpha , beta an...

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  19. IF x^2-3x +2 is a factor of x ^4 -px^2 +q=0 then (p,q)=0

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  20. IF the product of the roots of 5x^2-4x+2+m(4x^2-2x-1) =0 is 3,...

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