Chapter testMathematicsIncluded in the seriesTest 8 of 18

Bihar Board Class 11 Science Mathematics · Ch 2: Relations and Functions

Bihar Board Class 11 Science Mathematics · Ch 2: Relations and Functions is an online chapter test in the Bihar Board Class 11 Science pattern, covering Relations and Functions. Attempt it on SeatBeat with a timer like the real exam, then see a detailed solution for every question and your score and weak-topic analysis.

30
Questions
20
Minutes
30
Marks
None
Negative marking
Unlock all 18 tests — ₹149Try Biology · Ch 1: The Living World free →

Topics in this test

TopicQuestions
Relations and Functions30

Difficulty: 7 medium · 23 hard

Relations and Functions MCQ questions with answers

The first 3 of 30 questions. Unlock the series for the rest, each with a solution.

  1. Q1. For the signum function defined by $f(x) = \dfrac{x}{|x|}$ for $x \neq 0$ and $f(0) = 0$, the range is:

    चिह्न फलन, जो $x \neq 0$ के लिए $f(x) = \dfrac{x}{|x|}$ और $f(0) = 0$ द्वारा परिभाषित है, का परिसर है:

    • A. $\mathbb{R}$
    • B. $\{-1, 1\}$
    • C. $\{0, 1\}$
    • D. $\{-1, 0, 1\}$
    Solution

    For positive $x$ the value is $+1$, for negative $x$ it is $-1$, and at $x = 0$ it is $0$, so the only outputs are $-1, 0, 1$.

    धनात्मक $x$ के लिए मान $+1$ है, ऋणात्मक $x$ के लिए यह $-1$ है, और $x = 0$ पर यह $0$ है, अतः केवल निर्गत मान $-1, 0, 1$ हैं।

  2. Q2. Consider the statements: (i) Every function is a relation. (ii) Every relation is a function. Which of the following is correct?

    निम्नलिखित कथनों पर विचार कीजिए: (i) प्रत्येक फलन एक संबंध है। (ii) प्रत्येक संबंध एक फलन है। निम्नलिखित में से कौन-सा सही है?

    • A. Neither (i) nor (ii) is correct / न तो (i) और न ही (ii) सही है
    • B. Both (i) and (ii) are correct / (i) और (ii) दोनों सही हैं
    • C. Only (i) is correct / केवल (i) सही है
    • D. Only (ii) is correct / केवल (ii) सही है
    Solution

    A function is a special relation in which each element of the domain has exactly one image, so every function is a relation, but not every relation satisfies this one-image condition.

    फलन एक विशेष संबंध है जिसमें प्रांत के प्रत्येक अवयव का ठीक एक प्रतिबिंब होता है, अतः प्रत्येक फलन एक संबंध है, परंतु प्रत्येक संबंध इस एक-प्रतिबिंब शर्त को संतुष्ट नहीं करता।

  3. Q3. If the ordered pairs are equal, $(2x - 3,\ y + 1) = (5,\ 4)$, then the values of $x$ and $y$ are:

    यदि क्रमित युग्म समान हैं, $(2x - 3,\ y + 1) = (5,\ 4)$, तो $x$ और $y$ के मान हैं:

    • A. $x = 4,\ y = 5$
    • B. $x = 1,\ y = 3$
    • C. $x = 4,\ y = 3$
    • D. $x = 1,\ y = 5$
    Solution

    Equal ordered pairs have equal corresponding entries: $2x - 3 = 5 \Rightarrow x = 4$, and $y + 1 = 4 \Rightarrow y = 3$.

    समान क्रमित युग्मों के संगत पद समान होते हैं: $2x - 3 = 5 \Rightarrow x = 4$, और $y + 1 = 4 \Rightarrow y = 3$।

Frequently asked questions

How many questions are in the Bihar Board Class 11 Science Mathematics · Ch 2: Relations and Functions?

30 questions for 30 marks, to be answered in 20 minutes.

Is there negative marking in the Bihar Board Class 11 Science Mathematics · Ch 2: Relations and Functions?

No — wrong answers are not penalised in this test.

Which topics does the Bihar Board Class 11 Science Mathematics · Ch 2: Relations and Functions cover?

Relations and Functions (30 questions).

Is the Bihar Board Class 11 Science Mathematics · Ch 2: Relations and Functions free?

It is part of the BSEB Class 11 Science Test Series 2027 — Chapter-wise + Full Tests (18 tests, ₹149). You can first try Biology · Ch 1: The Living World for free.

More tests in the BSEB Class 11 Science Test Series 2027 — Chapter-wise + Full Tests

See the full BSEB Class 11 Science Test Series 2027 — Chapter-wise + Full Tests → · Bihar Board Class 11 Science: pattern, notification & syllabus →

₹149
View the full series
Relations and Functions MCQ Questions with Answers | Bihar Board Class 11 | SeatBeat