Class 12th Mathematics Relations and Functions MCQ mock test quiz

Are you student of Class 12th Mathematics? If yes! Test your proficiency in Class 12 Mathematics with our Relations and Functions MCQ Mock Test Quiz. Strengthen your understanding, tackle diverse questions, and enhance your exam readiness with this comprehensive practice resource.

Chapter 01 Relations and Functions

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12th Math: Relations and Functions

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1. 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?

Reflexive relation

Transitive relation

Symmetric relation

Equivalence relation

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2. Let f:R₊→[9,8) given by f(x)=x²+9. Find the inverse of f.

(sqrt{x-9})

(sqrt{9-x})

$sqrt{x^2-9}$

x²+9

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3. The following figure represents which type of function?

one-one

onto

many-one

neither one-one nor onto

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4. If f: ℝ+ → ℝ+, g: ℝ+ → ℝ+, and h: ℝ+ → ℝ are defined as follows:

• f(x) = 3x⁻¹
• g(y) = 6y²
• h(z) = tan(πz/2)

Find ho(gof(x)).

fgho²(x)

3⁻¹g(6x⁻¹)²h(3⁻¹x)

6(3⁻¹x)²h(π(3⁻¹x)/2)

18x⁻²h(πx/2)

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5. If f:R→R is given by f(x)=(5+x⁴)^1/4, then f?f(x) is -----

x

10+x⁴

5+x⁴

(10+x⁴)^1/4

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6. A function is invertible if it is -----

surjective

bijective

injective

neither surjective nor injective

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7. The following figure depicts which type of function?

injective

bijective

surjective

neither injective nor surjective

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8. (a,a) ∈ R, for every a ∈ A. This condition is for which of the following relations?

Reflexive relation

Symmetric relation

Equivalence relation

Transitive relation

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9. Let ‘*’ be defined on the set N. Which of the following are both commutative and associative?

a*b=a+b

a*b=a-b

a*b=ab²

a*b=a^b

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10. Let M={7,8,9}. Determine which of the following functions is invertible for f:M→M.

f = {(7,7),(8,8),(9,9)}

f = {(7,8),(7,9),(8,9)}

f = {(8,8),(8,7),(9,8)}

f = {(9,7),(9,8),(9,9)}

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Class 12 Relations and Functions MCQ Quiz – Test Your Understanding!
Relations and Functions is a vital chapter in Class 12 Mathematics, laying the foundation for many advanced topics. This chapter focuses on understanding different types of relations, functions, their domain and range, types of functions such as one-to-one, onto, and inverse functions, and composition of functions. Our free Relations and Functions MCQ quiz is designed strictly based on the NCERT Class 12 syllabus to help students practice and assess their conceptual clarity.

Whether you are preparing for the CBSE board exam or competitive exams like JEE, this quiz covers all key areas of the chapter, enhancing your problem-solving skills and speed. Sharpen your understanding with these objective questions and boost your exam confidence!

FAQs

Q1: What topics are included in the Class 12 Relations and Functions MCQ quiz?
Ans: The quiz covers definitions and types of relations, domain and range of functions, types of functions (one-one, onto, bijective), inverse and composite functions, and their properties.

Q2: Is this Relations and Functions quiz useful for CBSE board exam preparation?
Ans: Yes, the quiz follows the latest NCERT syllabus and is tailored to help students prepare for the CBSE Class 12 board examinations effectively.

Q3: Can practicing this Relations and Functions quiz help in JEE preparation?
Ans: Definitely! Relations and Functions is an important topic in JEE Main and Advanced, and practicing MCQs on this chapter is highly beneficial.

Q4: How many questions does the Relations and Functions MCQ quiz contain?
Ans: The quiz typically has 10 to 15 questions, ensuring comprehensive coverage of all important concepts.

Q5: Is there any cost to attempt the Class 12 Relations and Functions MCQ quiz?
Ans: No, the quiz is completely free and accessible to all students without any registration or payment.

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