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IF `alpha , beta ` are the roots of the equation `x^2+2ax +b=0` , then the quadratic equation with rational coefficient one of whose roots is ` alpha + beta + sqrt(alpha ^2+ beta ^2)` is

A

`x^2 - 4ax + 12=0`

B

` x^2 + 4ax - 2b=0`

C

` x^2 -4ax -2b =0`

D

`x^2 +4ax +2b =0`

Text Solution

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The correct Answer is:
D
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