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

If ` alpha , beta ` are the roots of `ax^2+bx +c=0` then `(1+ alpha + alpha ^2)(1+ beta + beta ^2)` is

A

`(1)/(a^(2))(a^(2)+b^(2)+c^(2)+ab+bc+ca)`

B

`(1)/(a^(2))(a^(2)+b^(2)+c^(2)-ab-bc-ca)`

C

`(1)/(a^(2))(a+b+c)`

D

`(1)/(a^(2))(a+b-c)^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
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