CUET · MATHS · PYQ PAPER 2023
The set of points where the function given by \(f(x) = |x - 2|\) is differentiable is:
- A \(\mathbb{R}\)
- B \((0, \infty)\)
- C \(\mathbb{R} - \{2\}\)
- D \(\mathbb{R} - \{0\}\)
Answer & Solution
Correct Answer
(C) \(\mathbb{R} - \{2\}\)
Step-by-step Solution
Detailed explanation
\(f(x) = |x - 2|\) is not differentiable when \(x - 2 = 0\). \(x = 2\). The set of points where \(f(x)\) is differentiable is \(\mathbb{R} - \{2\}\).
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