Multiple choice

If $\alpha , \beta$ are the roots of the equation $x ^ { 2 } - \left( 1 + a ^ { 2 } \right) x + \dfrac { 1 } { 2 } \left( 1 + a ^ { 2 } + a ^ { 4 } \right) = 0,$ then $\alpha ^ { 2 } + \beta ^ { 2 }$ is equal to :

  1. $a ^ { 4 } + a ^ { 2 }$
  2. $a ^ { 2 }$
  3. $\left( a ^ { 2 } + a ^ { 4 } \right) ^ { 2 }$

  4. None of these
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