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AP EAMCET202421 May 2024Morning ShiftMathematicsQuadratic EquationActual

Roots of the equation a(b-c) x^2+b(c-a) x+c(a-b)=0 are

Options

  1. Aa(b-c) c(a-b) , 1
  2. Bb(c-a) c(a-b) , 1
  3. Cc(a-b) a(b-c) , 1
  4. Dc(a-b) b(c-a) , 1

Correct answer

C. c(a-b) a(b-c) , 1

Step-by-step solution

a(b-c) x^2+b(c-a) x+c(a-b)=0x=1 satisfies his equation Product of roots = c(a-b) a(b-c) =1 = c(a-b) a(b-c) = other root Roots are c(a-b) a(b-c) and 1

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