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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

Let a, b, c be the lengths of the sides of a triangle (no two of...

Let a,b,ca, b, c be the lengths of the sides of a triangle (no two of them are equal)andk∈Rand k \in R. If the roots of the equation x2+2(a+b+c)x+6k(ab+bc+ca)=0x^2 + 2(a+b+c)x + 6k(ab+bc+ca) = 0 are real, then:

Options

  1. Ak<2/3k < 2/3
  2. Bk>2/3k > 2/3
  3. Ck>1k > 1
  4. Dk<1/4k < 1/4.

Correct answer

A. k<2/3k < 2/3

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