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Black Advanced Problems in Mathematics
Exam
Black Advanced Problems in Mathematics
Subject
Mathematics
Chapter
Quadratic Equation

Black Advanced Problems in Mathematics · Mathematics · Quadratic Equation

If (a^3)/(a-1), (a^2-3)/(a-1); (b^3)/(b-1), (b^2-3)/(b-1);...

If a3a−1,a2−3a−1;b3b−1,b2−3b−1;c3c−1,c2−3c−1\frac{a^3}{a-1}, \frac{a^2-3}{a-1}; \frac{b^3}{b-1}, \frac{b^2-3}{b-1}; \frac{c^3}{c-1}, \frac{c^2-3}{c-1} lie on L:lx+my+n=0L: lx + my + n = 0; where a,b,ca, b, c are real numbers different from 11; then

Options

  1. Aa+b+c=−mla+b+c = -\frac{m}{l}
  2. Babc=m+nlabc = \frac{m+n}{l}
  3. Cab+bc+ca=nlab+bc+ca = \frac{n}{l}
  4. Dabc−(ab+bc+ca)+3(a+b+c)=0abc - (ab+bc+ca) + 3(a+b+c) = 0.

Correct answer

C. ab+bc+ca=nlab+bc+ca = \frac{n}{l}

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