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If `a ,b ,p ,q` are nonzero real numbers, then how many oon roots would two equations `2a^2x^2-2a b x+b^2=0a n dp^2x^2+2p q x+q^2=0` have?

A

no common root

B

one common root if `2a^(2)+b^(2)=p^(2)+q^(2)`

C

two common roots if `3pq=2ab`

D

two common roots if `3qb=2ap`

Text Solution

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The correct Answer is:
A
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