Class 11 Relations and Functions worksheet

Sample questions

Real questions from this chapter, as the app sets them. Tap Answer to see the answer and working.

Section A · multiple choice

1. 1.

   If n(A) = 2 and n(B) = 3, the number of relations from A to B is:

   1. 2⁵
   2. 6
   3. 2³
   4. 2⁶

   Answer

   (d) 2⁶

   subsets of A × B, which has 6 elements

2. 2.

   If (x + 6, y − 3) = (8, 6), then (x, y) is:

   1. (14, 3)
   2. (9, 2)
   3. (2, 9)
   4. (2, 3)

   Answer

   (c) (2, 9)

   equal ordered pairs: first = first, second = second

3. 3.

   The domain of the relation R = {(2, 2), (5, 2), (8, 1), (8, 6), (4, 7)} is:

   1. {2, 4, 5}
   2. {2, 4, 5, 8}
   3. {1, 2, 6, 7}
   4. {1, 2, 4, 5, 6, 7, 8}

   Answer

   (b) {2, 4, 5, 8}

Section B · short answer

1. 4.

   Find x and y if (x + 5, y − 2) = (23/4, −3/2).

   Answer

   x = 3/4, y = 1/2

   equate first and second elements

2. 5.

   If A = {4, 5} and B = {3, 5}, write A × B. How many elements does it have?

   Answer

   {(4, 3), (4, 5), (5, 3), (5, 5)}; 4 elements

Section C · long answer

1. 6.

   A relation R on A = {1, 2, 3, 4, 5, 6} is defined by R = {(x, y) : x divides y and x ≠ y; x, y ∈ A}. Write R in roster form and find its domain, codomain and range.

   Answer

   R = {(1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 4), (2, 6), (3, 6)}; domain {1, 2, 3}; codomain {1, 2, 3, 4, 5, 6}; range {2, 3, 4, 5, 6}

Fresh sheets for your child

In the app, every Relations and Functions sheet is new: the app remembers the questions your child has already had and leaves them out. Print the sheet as a PDF, or use notebook mode and write the answers in a notebook.

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