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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. + + 0 2. ^2 + ^2 0 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

B. 2 only

Step-by-step solution

Sum of roots = + =-b Multiplication of roots = =c Hence aligned & + + =-b+c ^2 + ^2= ( + )=-b c & ~b 0 & c 0 & - b + c 0 & - bc 0 aligned

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