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NDA2016MathematicsQuadratic EquationActual

Let and ( ) be the roots of the equation x ^2+ bx + c =0 , where b 0 and c 0 . Consider the following: 1. - 2. | | Which of the above is/are correct?

Options

  1. A1 only
  2. B2 only
  3. CBoth 1 and 2
  4. DNeither 1 nor 2

Correct answer

C. Both 1 and 2

Step-by-step solution

Given quadratic equation, x^2+b x+c=0 and roots are and where . Hence roots of given quadratic equation are aligned & = -b+ b^2-4 c 2 & = -b- b^2-4 c 2 ( ) & - = b+ b^2-4 c 2 and | |= b+ b^2-4 c 2 & - and | | both are correct. aligned

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