Home
Class 12
MATHS
If A = {p,q,r, s} and B = {1, 2, 3}, fi...

If `A = {p,q,r, s} and B = {1, 2, 3}`, find which of the following is not a function from A to B?

A

`R_(1) = {(p, 1), (q, 2), (r, 1), (s, 2)}`

B

`R_(2) = {(p, 1), (q, 2), (r, 1), (s, 1)}`

C

`R_(3) = {(p, 1), (q, 2), (r, 2), (r, 2)}`

D

`R_(4) = {(p, 2), (q, 3), (r, 2), (s, 2)}`

Text Solution

Verified by Experts

The correct Answer is:
C
`because` x - coordinates of two brackets are same.
Promotional Banner

Similar Questions

Explore conceptually related problems

Let S = {a,b,c} and T = {1,2,3} . Find F^(-1) of the following functions F from S to T , if it exists . F = {(a,3),(b,2),(c,1)}

Let S = {a,b,c} and T = {1,2,3} . Find F^(-1) of the following functions F from S to T , if it exists . F = {(a,2),(b,1),(c,1)}

If A={p,q,r} and B={q,p,r}. Then check whether A=B or not.

Let A={1, 2, 3} and B={-2, -1, 0, 1, 2,3} . The probability of increasing functions from A to B, is

Consider the sets A ={p,q,r,s} and B={1,2,3,4}. Are they equal?

If A = [[a,b,c],[x,y,z],[p,q,r]], B= [[q , -b,y],[-p,a,-x],[r,-c,z]] and if A is invertible, then which of the following is not true?

Let ** be the binary operation defined on Q. Find which of the following binary operations are commutative. a**b=a^2+b^2, AA a,b in Q

Let ** be the binary operation defined on Q. Find which of the following binary operations are commutative. a**b=a-b, AA a,b in Q

Let V_r denote the sum of the first r terms of an arithmetic progression (AP) whose first term is r and the common difference is (2r-1) . Let T_r=V_(r+1)-V_r-2 and Q_r =T_(r+1)-T_r for r=1,2 Which one of the following is a correct statement? (A) Q_1, Q_2, Q_3………….., are in A.P. with common difference 5 (B) Q_1, Q_2, Q_3………….., are in A.P. with common difference 6 (C) Q_1, Q_2, Q_3………….., are in A.P. with common difference 11 (D) Q_1=Q_2=Q_3