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Class 12 Mathematics: Relations and Functions
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MCQs on relations and functions types, binary operations, functions and invertible function composition.

Class 12 Mathematics: Relations and Functions
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25 Questions

1. Let the function f be defined by f(x)=\(\frac{9+3x}{7-2x}\), then f-1(x) is ______
2. Which of the following relations is reflexive but not transitive for the set T = {7, 8, 9}?
3. Let M={7,8,9}. Determine which of the following functions is invertible for f:M→M.
4. Which of the following relations is transitive but not reflexive for the set S={3, 4, 6}?
5. Let R be a relation in the set N given by R={(a,b): a+b=5, b>1}. Which of the following will satisfy the given relation?
6. Let '*' be a binary operation defined by a*b=3ab+5. Find 8*3.
7. Let f:R+→[9,∞) given by f(x)=x2+9. Find the inverse of f.
8. Let '*' be defined on the set N. Which of the following are both commutative and associative?
9. Let I be a set of all lines in a XY plane and R be a relation in I defined as R = {(I1, I2):I1 is parallel to I2}. What is the type of given relation?
10. Let '*' be a binary operation on N defined by a*b=a-b+ab2, then find 4*5.
11. If f:R→R is given by f(x)=(5+x4)1/4, then fοf(x) is _______
12. A function f∶N→N is defined by f(x)=x2+12. What is the type of function here?
13. Let '&' be a binary operation defined on the set N. Which of the following definitions is commutative but not associative?
14. Let M={5,6,7,8} and N={3,4,9,10}. Which one of the following functions is neither one-one nor onto?
15. Which of the following relations is symmetric but neither reflexive nor transitive for a set A = {1, 2, 3}.
16. If f:R→R f(x)=cos⁡x and g(x)=7x3+6, then fοg(x) is ______
17. The function f:R→R defined as f(x)=7x+4 is both one-one and onto.
18. Let a binary operation '*' be defined on a set A. The operation will be commutative if ________
19. Let A={1,2,3} and B={4,5,6}. Which one of the following functions is bijective?
20. If f:N→N, g:N→N and h:N→R is defined f(x)=3x-5, g(y)=6y2 and h(z)=tan⁡z, find ho(gof).
21. The following figure depicts which type of function?
mathematics-questions-answers-types-functions-q1
22. Which of the following relations is symmetric and transitive but not reflexive for the set I = {4, 5}?
23. Let '*' and '^' be two binary operations such that a*b=a2 b and a ^ b = 2a+b. Find (2*3) ^ (6*7).
24. Which of the following is not a type of binary operation?
25. The following figure depicts which type of function?mathematics-questions-answers-types-functions-q6

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