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In each question, you are given certain data followed by two statements. For answering the questions:

Mark a, if both the statements together are insufficient to answer the question.

Mark b, if any one of the two statements is sufficient to answer the question.

Mark c, if each statement alone is sufficient to answer the question.

Mark d, if both the statements together are sufficient to answer the question, but neither statement alone is sufficient.

If $\alpha, \beta$ are the roots of the equation $(ax^{2}+bx+c=0)$, then what is the value of $(\alpha^{2}+\beta^{2})$?

1. $\alpha+\beta=-(b/a)$

2. $2\alpha \beta=(c/a)$

  1. if both the statements together are insufficient to answer the question.
  2. if any one of the two statements is sufficient to answer the question.
  3. if each statement alone is sufficient to answer the question.
  4. if both the statements together are sufficient to answer the question, but neither statement alone is sufficient.
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we can answer this question using both the statements. If equation and the two statements are given, we can find out the value of α2 + β2 

α2 + β2 = (α + β)2 - 2αβ

Option D is the Correct Answer.

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