CUET · MATHS · PYQ PAPER 2025
match List - I with List - II
| List - I (function) | List - II (inceasing on the interval) |
| (A) f(x) = -\(x^2\) - 2x + 1 | (I) \((-\infty,-1)\) |
| (B) f(x) = \(x^2\) + 1 | (II) \((1, \infty)\) |
| (C) f(x) = \(x^2\) - 2x + 3 | (III) \((-\infty, 0)\) |
| (D) f(x) = \(- x^2\) | (IV) \((0, \infty)\) |
- A (A) - (I), (B) - (IV), (C) - (II), (D) - (III)
- B (A) - (I), (B) - (II), (C) - (IV), (D) - (III)
- C (A) - (III), (B) - (II), (C) - (IV), (D) - (I)
- D (A) - (I), (B) - (II), (C) - (III), (D) - (IV)
Answer & Solution
Correct Answer
(A) (A) - (I), (B) - (IV), (C) - (II), (D) - (III)
Step-by-step Solution
Detailed explanation
(A) f(x) = \(x^2\) - 2x + 1 \(f'(x) = 2x - 2\) \(2x - 2 > 0 \Rightarrow x > 1\) Increasing on \((1, \infty)\). Matches (II). (B) f(x) = \(x^2\) + 1 \(f'(x) = 2x\) \(2x > 0 \Rightarrow x > 0\) Increasing on \((0, \infty)\). Matches (IV). (C) f(x) = \(x^2\) - 2x + 3…
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