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NDA2011MathematicsQuadratic EquationActual

If one of the roots of the equation a(b-c) x^2+b(c-a) x+c(a-b)=0 is 1 , what is the second root?

Options

  1. A- b(c-a) a(b-c)
  2. Bb(c-a) a(b-c)
  3. Cc(a-b) a(b-c)
  4. D- c(a-b) a(b-c)

Correct answer

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

Step-by-step solution

Let other root is of the equation a(b-c) x^2+b(c-a) x+c(a-b)=0 product of roots = c a 1 = c(a-b) a(b-c) other root ( )= c(a-b) a(b-c) .

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