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MHT CET202015 Oct 2020Evening ShiftMathematicsQuadratic EquationActual

If the A.M. and G.M. of the roots of a quadratic equation in x are p and q respectively, then its equation is

Options

  1. Ax²+2 p x+q²=0
  2. Bx²+p x+q²=0
  3. Cx²-p x+q²=0
  4. Dx²-2 p x+q²=0

Correct answer

D. x²-2 p x+q²=0

Step-by-step solution

v^ =2 v x₁+x₂ 2 =p & x₁ x₂ =q None a x²+b x+c=0b=- (x₁+x₂ )c=x₁ x₂b=-2 p r q^ n =x²-2 p x+q²=0

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