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Mathematics Concepts Quiz

A colorful illustration of mathematical symbols, graphs, and formulas, representing various branches of mathematics such as algebra, calculus, and set theory, evoking a sense of learning and intelligence.

Mathematics Concepts Quiz

Test your knowledge of essential mathematics concepts with this engaging quiz. Each question is designed to challenge your understanding of functions, sets, and relations.

Topics covered include:

Ordered pairs
Cartesian products
Functions and their ranges
Inverse functions
Domain of functions

8 Questions2 MinutesCreated by CalculatingStar42

Statement:- The ordered pair ( 1, b) and (1,c) are equal Reason:- Two ordered pair are equal if and only if the corresponding first elements are equal.

Both statement and reason are true.

Statement is true but reason is false.

Both statement and reason are false.

Statement is false but reason is true.

If A= { x, y ,z} and B= { s, t},then

A x B = B x A

A x B ≠ B x A

A x B = {}

A x B has 4 ordered pairs

Let P = { 1, 2, 3} and Q ={ 6, 7}, then the number of relations from P into Q will be

Range of function f: R →R given by f(x) = x^2

[-infinity, + infinity]

[ 0, + infinity]

[- infinity, 0]

If P = {1,3} , Q= {2,4,6} and R={4,5}, then P x (Q ꓵ R) is:

{ (1, 2), (1, 4), (1, 5), (1, 6), (3,2), (3, 4), (3, 5), (3, 6)}

{ (1,4), (3, 4), (1, 5), (3,5)}

{(1,4), (3, 4)}

None of these

Let set S= {1,2,3}. Then the function f: S -> S given as f = { (3,1), (2,3), (1,2)} will have the inverse:

{ (1,2), (2,2), (2,3)}

{ (1,2), (2,1), (3,1)}

{ (1,3), (2,3), (2,1)}

{ (1,3), (3,2), (2,1)}

Let A = {-2, -1, 0} and f(x) = 2x – 3 then the range of f is

{7, -5, -3}

{-7, 5, -3}

{-7, -5, 3}

{-7, -5, -3}

The domain of the function f(x) = x/(1 + x²) is

R – {1}

R – {-1}

None of these

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