Classes XI & XII Mathematics

Chapter 2: Relations and Functions

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Worksheet Details:

  • Title: Class XI Math: Relations and Functions Printable Sheet
  • Format: Print Optimized CSS stylesheet
  • Sections: Formulas checklist, 5 assessment questions, worked keys

NexPro Education Worksheet

Class XI Mathematics: Relations and Functions

Name: ______________________Date: __________________Score: ______ / 5

Section I: Key Formulas

Cartesian Product Cardinality
n(A \times B) = n(A) \times n(B)

Section II: Answer the Questions

1. Find the domain and the range of the function : f (x) = 2 4x -

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2. Find the domain and range of the real function f (x) = 29 x-

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3. Case-Study 3: Raj works at a book store. While arranging some books on the book shelf, he observed that there are 5 History books, 3 Mathematics books and 4 Science books which are to be arranged on the shelf. (i) In how many ways can he select either a History book or a Maths book? (1) (ii) If he selects 2 History books, 1 Maths book and 1 Science book to arrange them, then find the number of ways in which selection can be made. (1) (iii) Find the number of ways, if the books of same subject are put together. (1) (iv) Find the number of arrangements, if he selects 3 History books, 2 Maths Books, 2 Science books. (1)

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4. Evaluate: 1 1 1 3sin sin cos (cos ) tan (1)4 π π- - -( ) + +( )( )

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5. If show that .

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