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Multiple choice

Necessary conditions when taken together for equation $x^{2}+a^{2}x+b^{2}=0, (a,b\epsilon R)$ to have distinct roots, each of which exceeds 'c' are

  1. $a^{4} > 4b^{2}$
  2. $c^{2}+a^{2}c + b^{2} > 0$
  3. $-\frac{a^{2}}{2} > c$
  4. $-\frac{a^{2}}{2} < c$
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