Maths-
General
Easy
Question
If A =
and A2 =
, then
= 2ab,
= a2 + b2
= a2 + b2,
= ab
= a2 + b2,
= 2ab
= a2 + b2 ,
= a2 – b2
The correct answer is:
= a2 + b2,
= 2ab
we are given A and
and asked to find α and β
![A squared space equals A space A space equals space open square brackets table row a b row b a end table close square brackets open square brackets table row a b row b a end table close square brackets
A squared space equals space open square brackets table row cell a squared plus b squared end cell cell a b plus b a end cell row cell b a plus a b end cell cell a squared plus b squared end cell end table close square brackets space equals space open square brackets table row alpha beta row beta alpha end table close square brackets
alpha space equals space a to the power of 2 space end exponent plus b squared
beta space equals space 2 a b space](data:image/png;base64,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)
Therefore the correct option is choice 3
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