CUET · MATHS · PYQ PAPER 2025
The function \(f(x)=x^2-4 x+6\) is
(A) Strictly decreasing on \((-\infty, 2) \cup(2, \infty)\)
(B) Strictly increasing on ( \(2, \infty\) )
(C) Strictly increasing on \((-\infty, \infty)\)
(D) Strictly decreasing on \((-\infty, 2)\)
Choose the correct answer from the options given below :
- A (A) and (B) only
- B (B) and (D) only
- C (A), (B) and (C) only
- D (C) and (D) only
Answer & Solution
Correct Answer
(B) (B) and (D) only
Step-by-step Solution
Detailed explanation
\(f'(x) = 2x-4\) \(2x-4=0 \Rightarrow x=2\) For \(x For \(x > 2\), \(f'(x) > 0\), so \(f(x)\) is strictly increasing on \((2, \infty)\). Thus, (B) and (D) are correct. The correct answer is "(B) and (D) only".
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