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NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions Exercise 1.1

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Jasmine Grover

Education Journalist | Study Abroad Lead

NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions Exercise 1.1 is covered in this article. This Chapter 1 Relations and Functions Exercise includes questions on types of relations - symmetric, reflexive, and transitive relations.

Download PDF of NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions Exercise 1.1

Read More: NCERT Solutions For Class 12 Mathematics Chapter 1 Relation and Functions

Check other exercise solutions of Class 12 Maths Chapter 1 Relations and Functions

Class 12 Chapter 1 Relations and Functions Topics:
Types of Functions Binary Operations Difference Between Relation and Functions
Onto Function Modulus Function Signum Function
Composition of Functions and Invertible Function Binary Multiplication Binary Addition

Also check:

CBSE Class 12 Mathematics Study Guides:
Algebra Arithmetic Calculus
Mensuration Trigonometry Geometry
Permutation and Combination Math Study Notes Math MCQs
NCERT Solutions for Class 12 Maths Math Formula Difference between in Math

CBSE CLASS XII Related Questions

  • 1.

    Check whether the function \[ f(x)= \begin{cases} \dfrac{|x-3|}{2(x-3)}, & x<3,\\[6pt] \dfrac{x-6}{6}, & x\geq 3 \end{cases} \] is continuous at \(x=3\) or not. 

        View Solution

      • 2.
        For \[ f(x)=x+\frac{1}{x}, \quad x\neq 0. \]

          • local maximum value is 2
          • local minimum value is \( -2 \)
          • local maximum value is \( -2 \)
          • local minimum value \( < \) local maximum value
          View Solution

        • 3.
          A function \[ f:\mathbb{R}-\left\{\frac{3}{5}\right\} \to \mathbb{R}-\left\{\frac{3}{5}\right\} \] is defined as \[ f(x)=\frac{3x+2}{5x-3}. \] Show that \(f\) is one-one and onto.

              View Solution

            • 4.

              If \[ B(\operatorname{adj} B)= \begin{bmatrix} \frac{1}{3} & 0 & 0\\ 0 & \frac{1}{3} & 0\\ 0 & 0 & \frac{1}{3} \end{bmatrix}, \] then the value of \[ \det(B^{-1}) \] is: 

                • \(\frac{1}{3}\)
                • \(\frac{1}{9}\)
                • \(3\)
                • \(9\)
                View Solution

              • 5.
                The least value of \[ f(x)=e^{-x} \] in the interval \[ [0,3] \] is:

                  • \( e^{-3} \)
                  • \( -1 \)
                  • \( 1 \)
                  • \( -e^3 \)
                  View Solution

                • 6.
                  For a square matrix \(A\), \[ (3A)^{-1}= \]

                    • \( 3A^{-1} \)
                    • \( 9A^{-1} \)
                    • \( \frac{1}{3} A^{-1} \)
                    • \( \frac{1}{9} A^{-1} \)
                    View Solution
                  View All

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