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Black Book Advanced Problems in MathematicsMathematicsQuadratic Equation

Which of the following statement(s) is/are correct?

Options

  1. AThe number of quadratic equations having real roots which remain unchanged even after squaring their roots is
  2. BThe number of solutions of the equation 2 + 3 = 0 , in the interval [0, ] is equal to 6.
  3. CFor x₁, x₂, x₃ > 0 , the minimum value of 2x₁ x₂ + 128x₃^3 x₂^2 + x₂^2 4x₁x₃^3 equals 24.
  4. DThe locus of the mid-points of chords of the circle x^2 + y^2 - 2x - 6y - 1 = 0 , which are passing through or

Correct answer

A. The number of quadratic equations having real roots which remain unchanged even after squaring their roots is

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