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NDA2015MathematicsQuadratic EquationActual

If the sum of the roots of the equation a x^2+b x+c=0 is equal to the sum of their squares, then

Options

  1. Aa ^2+ b ^2= c ^2
  2. Ba^2+b^2=a+b
  3. Cab + b ^2=2 ac
  4. Dab - b ^2=2 ac

Correct answer

C. ab + b ^2=2 ac

Step-by-step solution

a x^2+b x+c=0 Let the root be and . aligned & + =- b a , = c a & + = ^2+ ^2 & (given) & + =( + )^2-2 & - b a = (- b a )^2- 2 c a & b^2+a b=2 ac aligned

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