NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions Exercise 1.2

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NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions Exercise 1.2 is mainly based on types of relations. 

Check NCERT Solution for Class 12 Maths Chapter 1 relations and functions Exercise 1(PDF Link)

Check Class 12 NCERT Maths Chapter 1 Relations and Functions Exercises: 

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CBSE Class 12 Mathematics Study Guide:

CBSE CLASS XII Related Questions

  • 1.
    Let three toys A, B and C be placed in the same straight line. If the position vectors of A, B and C are \( 55\hat{i} - 2\hat{j} \), \( 5\hat{i} + 8\hat{j} \) and \( a\hat{i} - 52\hat{j} \) respectively, find the value of ‘a’.


      • 2.
        Solve the following Linear Programming Problem graphically :
        Maximize \( Z = \frac{2x}{5} + \frac{3y}{10} \)
        subject to constraints
        \( 2x + y \leq 1000 \)
        \( x + y \leq 800 \)
        \( x, y \geq 0 \).


          • 3.
            If \( \vec{a} \), \( \vec{b} \) and \( \vec{c} \) are unit vectors, then prove that \( |\vec{a} - \vec{b}|^2 + |\vec{b} - \vec{c}|^2 + |\vec{c} - \vec{a}|^2 \leq 9 \).


              • 4.
                Evaluate : \( \int_0^2 \frac{1}{\sqrt{x^2 + 2x + 3}} \, dx \).


                  • 5.
                    Three students A, B and C go to a book-store to buy art books, story books and puzzle solving books. A buys one of each type of book for a total of RS 21. B buys 4 art books, 3 story books and 2 puzzle solving books for RS 60. C buys 6 art books, 2 story books and 3 puzzle solving books and pays RS 10 more than B. Use matrix method to find the cost of each type of book.


                      • 6.
                        A die is rolled. Consider events : \( A = \{1, 2, 5\} \), \( B = \{3, 5\} \), \( C = \{2, 3, 4, 5\} \). Find \( P(A \cap B|C) \) and \( P(A \cup B|C) \).

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