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Black Book Advanced Problems in MathematicsMathematicsQuadratic Equation

If a^3 a-1 , a^2-3 a-1 ; b^3 b-1 , b^2-3 b-1 ; c^3 c-1 , c^2-3 c-1 lie on L: lx + my + n = 0 ; where a, b, c are real numbers different from 1 ; then

Options

  1. Aa+b+c = - m l
  2. Babc = m+n l
  3. Cab+bc+ca = n l
  4. Dabc - (ab+bc+ca) + 3(a+b+c) = 0 .

Correct answer

C. ab+bc+ca = n l

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