Direction vector =(1−(−2),−2−(−3),4−(−4))=(3,1,8). Vector form using point (−2,−3,−4): r=(−2i^−3j^−4k^)+λ(3i^+j^+8k^).
Which of the following statements are correct ? (A) If f : R → R then f(x) = |x| is continuous everywhere. (B) If f : R → R then f(x) = |x| is…
CUET UG 2023 — Mathematics Calculus
2023mcqmedium
Which of the following statements are correct ?
(A) If f:R→R then f(x)=∣x∣ is continuous everywhere.
(B) If f:R→R then f(x)=∣x∣ is continuous everywhere but not differentiable at x=0.
(C) Let f:R−{0}→R then f(x)=x1 is continuous everywhere.
(D) Let f:R→R then f(x)=∣x−1∣+∣x−2∣ is continuous everywhere but not differentiable at exactly 2 points.
(E) If f:R→R then f(x)=cotx is continuous everywhere.
Choose the correct answer from the options given below :
Official previous-year question
Held on 30 May 2023 · Verified 13 Jul 2026.
Options
- A
(A) only
- B
(A), (C) only
- C
(A), (B), (C), (D) only
- D
(D), (E) only
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