====== Ch 02: Functions and Groups ======
The important questions of Chapter 2 of Textbook of Algebra and Trigonometry Class XI is published by Punjab Textbook Board (PTB) Lahore, Pakistan has been given on this page. These questions are selected from old papers.
<list-group>
  * Find multiplicative inverse $(2,4)$   --- // BISE Gujrawala(2015)//
  * Find power set of $\{a,\{b,c\}\}$   ---  // BISE Gujrawala(2015)//
  * Prove that $A-B=A \cup B^c$  ---  //BISE Gujrawala(2015)//
  * Write converse and contra positive of $p \longrightarrow q$   ---  // BISE Gujrawala(2015)//
  * Write the inverse of $\{(1,2),(2,5),(3,7),(4,9),(5,11)\}$  ---  // BISE Gujrawala(2015)//
  * What is the difference between $\{a,b \}$ and $\{\{a,b\}\}$  ---  // BISE Gujrawala(2017)//
  * Show that $~(p \longrightarrow q) \longrightarrow p$     ---  // BISE Gujrawala(2017)//
  * Prove that $A \cap(B \cup C)=(A \cap B)\cup(A \cap C)$    ---  // BISE Gujrawala, BISE Lahore (2017)//
  * If $A=\{1,2,3,4\}$, $B=\{3,4,5,6,7,8\}$ and $C=\{5,6,7,9,10\}$ then verify associativity of union  ---   // BISE Sargodha(2015)//
  * If $A,B$ are elements of a group $G$ then show that $(ab)^{-1}=b^{-1}a^{-1}$   ---    // BISE Sargodha(2015)//
  * For $A=\{1,2,3\}$ find the relation $\{(x,y)| x+y<5\}$   ---   // BISE Sargodha(2015)//
  * Write the set $\{x|x \in Q \wedge x^2=2\}$ in descriptive and tabular form   ---   // BISE Sargodha(2015)//
  * If $a,b$ being elements of a group $G$ then solve (a) $ax=b$       (b) $x a=b$   ---    // BISE Gujrawala(2015)//
  * Write converse and contrapositive of $q \longrightarrow p$  ---     // BISE Sargodha(2015)//
  * Write down the power set of $\{a,b,c\}$   ---    // BISE Sargodha(2015)//
  * Write down the power set of $\{9,11\}$  ---     // BISE Sargodha(2016)//
  * Find converse, inverse of the conditional $~p \longrightarrow ~q$   ---  // BISE Sargodha(2016)//
  * Solve the equation $a \divideontimes x=b$ where $a, b \in G$ and $G$ is a group   ---   // BISE Sargodha(2016)//
  * Write the converse and inverse of $~p \longrightarrow q$   ---   // BISE Sargodha(2016)//
  * Convert the given theorem to logical form and prove by constructing truth table $A \cup (B \cap C)=(A \cup B)\cap (A \cup C)$  ---    // BISE Sargodha(2017)//
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{{tag>FSc FSc_Part1 Important_Questions_FSc_1}}