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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.

  • Find multiplicative inverse (2,4) BISE Gujrawala(2015)
  • Find power set of {a,{b,c}} BISE Gujrawala(2015)
  • Prove that AB=ABcBISE Gujrawala(2015)
  • Write converse and contra positive of pq 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  (pq)p BISE Gujrawala(2017)
  • Prove that A(BC)=(AB)(AC) 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=b1a1 BISE Sargodha(2015)
  • For A={1,2,3} find the relation {(x,y)|x+y<5} BISE Sargodha(2015)
  • Write the set {x|xQx2=2} in descriptive and tabular form — BISE Sargodha(2015)
  • If a,b being elements of a group G then solve (a) ax=b (b) xa=b BISE Gujrawala(2015)
  • Write converse and contrapositive of qp 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 q BISE Sargodha(2016)
  • Solve the equation ax=b where a,bG and G is a group — BISE Sargodha(2016)
  • Write the converse and inverse of  pq BISE Sargodha(2016)
  • Convert the given theorem to logical form and prove by constructing truth table A(BC)=(AB)(AC) BISE Sargodha(2017)