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Let a,b be the solutions of x^(2)+px+1=0...

Let a,b be the solutions of `x^(2)+px+1=0` and c, d be the solutions of `x^(2)+qx+1=0`. If (a-c)(b-c) and (a+d)(b+d) are the solutions of `x^(2)+ax+beta=0`, then `beta` equals

A

`p+q`

B

`p-q`

C

`p^(2)+q^(2)`

D

`p^(2)-q^(2)`

Text Solution

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The correct Answer is:
D
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