JEE Advanced · Mathematics · 25. AOD
Let \(f(x)=\frac{x^2-6 x+5}{x^2-5 x+6}\).
- 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
Answer & Solution
Correct Answer
(A)
A-p; B-q; C-q; D-p
Step-by-step Solution
Detailed explanation
\[
f(x)=\frac{(x-1)(x-5)}{(x-2)(x-3)}
\]
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 \(x>5 \Rightarrow 0 < f(x) < 1\)
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 \(x>5 \Rightarrow 0 < f(x) < 1\)
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