Home
Class 11
MATHS
State whether each of the following stat...

State whether each of the following statements are true or false. If the statement is false, rewrite the given statement correctly.(i) If `P = {m , n} " and " Q = {n , m}, " then " P xxQ = {(m , n), (n , m)}`.

Text Solution

AI Generated Solution

To determine whether the statement is true or false, let's analyze the given sets and the Cartesian product step by step. ### Step 1: Identify the Sets We are given two sets: - \( P = \{m, n\} \) - \( Q = \{n, m\} \) ### Step 2: Determine the Number of Elements in Each Set ...
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    NCERT ENGLISH|Exercise MISCELLANEOUS EXERCISE|12 Videos
  • RELATIONS AND FUNCTIONS

    NCERT ENGLISH|Exercise EXERCISE 2.3|5 Videos
  • RELATIONS AND FUNCTIONS

    NCERT ENGLISH|Exercise SOLVED EXAMPLES|22 Videos
  • PROBABILITY

    NCERT ENGLISH|Exercise All Questions|71 Videos
  • SEQUENCES AND SERIES

    NCERT ENGLISH|Exercise EXERCISE 9.5|6 Videos

Similar Questions

Explore conceptually related problems

State whether each of the following statements are true or false. If the statement is false re-write the given statement correctly: (i) If p={m , n}a n d\ Q={n , m},\ t h e n\ PxxQ={(m , n),\ (n , m)} (ii) If A and B are non empty sets then AxxB is a non empty set of ordered pairs (x , y) such that x in B\ a n d\ y in Adot (iii) If A={1,2},\ B={3,4},\ t h e n\ Axx(Bnnvarphi)=varphidot

Find whether the following statements are true or false. If the statement is false, then write its correct statement: (i) If P={m,n} and Q={n,m},then PxxQ={(m,n),(n,m)} . (ii) If A and B are non-empty sets, then AxxB is a non-empty set of the ordered pairs (x,y) such that x in A and y in B .

If P={m,n) and Q={n,m} , then PxxQ={(m,n),(n,m)}

Mark whether the following statements are true or false. Rewrite the false statement in its correct form. Ligaments connect muscle to bone.

State whether the following statements are true or false. Rewrite the false statements in their correct form Grana helps in diffusion of gases.

State whether the following statements are true or false. Rewrite the false statements in their correct form: Linked genes are never separated.

State whether the following statements are true or false. Rewrite the false statements in their correct form Stomata is stimulated by light.

Which of the following statements is false when p is true and q is false?

State in each case, whether the given statement is true or false : 0 in phi

State whether the following statements are true or false. Rewrite the false statements in their correct form: Crossing over produces recombinants.