A: f(x)=3x is bijective on R, true. B: x4 has f(1)=f(−1), not one-one, also range is [0,∞), not onto, false. C: x2 on Z is not one-one nor onto, true. D: ∣x∣ on R is not one-one nor onto, true. So A, C, D.
Which of the following statements are true?
(A) f:R→R given by f(x)=3x is one-one onto.
(B) f:R→R given by f(x)=x4 is one-one and onto.
(C) f:Z→Z given by f(x)=x2 is neither one-one nor onto.
(D) f:R→R given by f(x)=∣x∣ is neither one-one nor onto.
(Where R is the set of all real numbers and Z is the set of all integers)
Choose the correct answer from the options given below:
Held on 16 Jul 2022 · Verified 13 Jul 2026.
A, B only
B, C only
A, C, D only
A, B, D only
Sign in to track your attempts and accuracy.
Sign in to keep a private note on this question. Nothing you write is ever public.
If f(x) = 2x + 3, then f⁻¹(x) is:
If a random variable $X$ has the following probability distribution: | X | 0 | 1 | 2 | 3 | 4 | |---|---|---|---|---|---| | P(X) | k | 2k | 3k | k² | 6k² | , then Match List-I with List-II | List-I | List-II | |---|---| | (A) k | (I) 3/7 | | (B) $P(X < 2)$ | (II) 6/49 | | (C) $P(X > 3)$ | (III) 1/7 | | (D) $P(2 \leq X \leq 3)$ | (IV) 22/49 | Choose the correct answer from the options given below:
If the roots of the equation x² - 5x + k = 0 are in the ratio 2:3, then the value of k is:
It is known that 3% of plastic bags manufactured in a factory are defective. Using the Poisson distribution on a sample of 100 bags, the probability of at most one defective bag is:
If R and S are two equivalence relations on a set A, then
Work through every CUET UG Algebra PYQ, year by year.