Match the LIST-I with LIST-II (Consider N and R as set of natural numbers and set of real numbers respectively) | | LIST-I
Function | | LIST-II | |---|---|---|---| | A. | f: N N, f(x) = x^2 is | I. | Neither one-one nor onto | | B. | f: R R, f(x) = 3 - 2x is | II. | one-one but not onto | | C. | f: R R, f(x) = x^2 is | III. | onto but not one-one | | D. | f: \-1,1\ \1\, f(x) = x is | IV. | one-one and onto | Choose the correct answer from the options given below:

Question

Match the LIST-I with LIST-II (Consider N and R as set of natural numbers and set of real numbers respectively) | | LIST-I
Function | | LIST-II | |---|---|---|---| | A. | f: N N, f(x) = x^2 is | I. | Neither one-one nor onto | | B. | f: R R, f(x) = 3 - 2x is | II. | one-one but not onto | | C. | f: R R, f(x) = x^2 is | III. | onto but not one-one | | D. | f: \-1,1\ \1\, f(x) = x is | IV. | one-one and onto | Choose the correct answer from the options given below: Option 1: A - III, B - II, C - I, D - IV Option 2: A - II, B - IV, C - III, D - I Option 3: A - II, B - IV, C - I, D - III Option 4: A - III, B - I, C - II, D - IV

AfterBoards · Accepted Answer

The answer is 'A - II, B - IV, C - I, D - III'. View full solution:

	LIST-I Function		LIST-II Nature
A.	$f: R \to R, f(x) = \sin^2 x + \cos^2 x$	I.	Bijective
B.	$f: Z \to Z, f(x) = x^3$	II.	Surjective but not injective
C.	$f: R \to R, f(x) = x^3 - x$	III.	Injective but not surjective
D.	$f: R \to R, f(x) = 3 - 4x$	IV.	Neither injective nor surjective

CUET Mathematics 2026 29th May Shift 2 PYQs

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