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If a quadratic equation has rational coefficients and a perfect-square discriminant, then its roots are:

Class 10Nature of Roots (Discriminant)Quadratic Equations
  • ARational and distinct
  • BIrrational
  • CImaginary
  • DAlways equal

Step-by-Step Solution

If and is a perfect square (with rational a, b, c), is rational so the roots are rational and distinct.
Answer: A) Rational and distinct

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