Let $f(x)=\frac{x^2-6 x+5}{x^2-5 x+6}$.

• Correct answer
  A

  A-p; B-q; C-q; D-p
• B

  A-r; B-s; C-q; D-r
• C

  A-s; B-p; C-q; D-p
• D

  A-r; B-q; C-p; D-r

Solution

$$ f(x)=\frac{(x-1)(x-5)}{(x-2)(x-3)} $$ The graph of $f(x)$ is shown
(A) If $-1 < x < 1 \Rightarrow 0 < f(x) < 1$ (B) If $1 < x < 2 \Rightarrow f(x) < 0$ (C) If $3 < x < 5 \Rightarrow f(x) < 0$ (D) If $x>5 \Rightarrow 0 < f(x) < 1$

Hence, the correct answer is option: 'A'.