If a,b,c are distinct real numbers then the equation (b-c) x^ 2 +(c-a) x+(a-b)=0 has

Mathematics · JEE Main · NTA ExamsComplex Numbers and Quadratic Equations

If a,b,c are distinct real numbers then the equation \((b-c) x^{2}+(c-a) x+(a-b)=0\) has
  1. equal roots
  2. irrational roots
  3. rational roots
  4. none of these

Answer

(C) rational roots

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