Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • Solve! If A = {1}; B = {1,2}; C = {3}; D = {1,3} then AxC is a subset of

If A = {1}; B = {1,2}; C = {3}; D = {1,3} then AxC is a subset of 

  • Option 1)

    {(1,1);(1,2)}

  • Option 2)

    {(1,3);(2,3)}

  • Option 3)

    {(1,1);(1,3);(2,1);(2,3)}

  • Option 4)

    {(1,1);(1,2);(3,1);(3,2)}

 

Answers (1)

best_answer

As we have learnt,

 

Theorem of Cartesian Product -

If A\subseteq B\ and\ C\subseteq D, then (AXC)\subseteq(BXD).

-

 

 A\times C \subseteq B\times D

i.e A\times C \subseteq {(1,1);(1,3);(2,1);(2,3)}

 


Option 1)

{(1,1);(1,2)}

Option 2)

{(1,3);(2,3)}

Option 3)

{(1,1);(1,3);(2,1);(2,3)}

Option 4)

{(1,1);(1,2);(3,1);(3,2)}

Posted by

Himanshu

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Mains 2026 Exam City Slip LIVE: NTA session 2 test centre allotment soon; admit card date
anam-khan

JEE Main 2026: NTA reopens Session 2 registration; apply by March 13 at jeemain.nta.nic.in
anam-khan

JEE Mains 2026 LIVE: NTA session 2 city slip soon; admit card, exam dates, here's how to prepare

Latest Question