Relations and Functions
Subject matter experts of JagranJosh have developed chapter wise practice questions of Class 12th as per the relevancy of the chapter in the CBSE board exam. This practice set contains questions with detailed explanations on “Chapter: Relations and Functions” of Mathematics.

Q1.$$If\text{}\text{\hspace{0.17em}}f:R\left\{\frac{3}{5}\right\}\to R\text{\hspace{0.17em}}\text{be}\text{\hspace{0.17em}}\text{defined}\text{\hspace{0.17em}}\text{by}\text{\hspace{0.17em}}f\left(x\right)=\frac{3x+2}{5x3},\text{\hspace{0.17em}}\text{then}$$
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Q2.$$\begin{array}{l}Let\text{}f:\left[2,\text{}\infty \right)\text{}\to \text{}R\text{}be\text{}the\text{}function\text{}defined\text{}by\text{}f\left(x\right)={x}^{2}4x+5,\\ then\text{}the\text{}range\text{}of\text{}f\text{}is\end{array}$$
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Q3.Let A = {1, 2, 3, ….. n} and B = {a, b} Then the number of surjections from A into B is
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Q4.The set A contains 5 elements and the set B contains 6 elements, then the number of oneone and onto mappings from A to B is
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Q5.The identity element for the binary operation * defined on Q − {0} as a*b = ab/2 ∀ a, b ∈ Q − {0} is
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Q6.$$\begin{array}{l}Let\text{}f:\text{}R\to R\text{}be\text{}the\text{}functions\text{}defined\text{}by\text{}f(x)={x}^{3}+\text{}5.\text{}\\ Then\text{}{f}^{\u20131}\left(x\right)\text{}is\end{array}$$
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Q7.Which of the following functions from Z into Z are bijections?
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