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If alpha, beta are the roots of the equ...

If ` alpha, beta` are the roots of the equation `x^(2)+px+q=0` and `gamma, delta` are the roots of the equation `x^(2)+4x+s=0` evaluate `(alpha-gamma)(alpha-delta)(beta-gamma)(beta-delta)` in terms of p,q,r and s. Deduce the condition that the equations have a common root.

A

`2q^2`

B

`2p^3`

C

`(q+r)^2`

D

`(q-r)^2`

Text Solution

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The correct Answer is:
C
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