Home
Class 12
MATHS
Consider the following relations from A ...

Consider the following relations from A to B where
A={u, v, w, x, y, z} and B={p, q, r, s}.
1. {(u,p),(v,p),(w,p),(x,q),(y,q),(z,q)}
2. {(u,p),(v,q),(w,r),(z,s)}
3. {(u,s),(v,r),(w,q),(u,p),(v,p),(z,q)}
4. {(u,q),(v,p),(w,s),(x,r),(y,q),(z,s)}
Which of the above relations are not functions ?

Promotional Banner

Similar Questions

Explore conceptually related problems

If P={p,q,r,s,t,u} and Q capR={q,r,v,w} , find (P-Q)cup(P-R)

If P={p,q,r,s,t,u} and Q capR={q,r,v,w} , find (P cup Q) cap(PcupR)

If [[ p , q-y , r-z],[ p-x , q , r-z ],[ p-x , q-y , r ]]=0 , then (p)/(x)+(q)/(y)+(r)/(z)=

Complete the given series: r-D u O h w Q K z S o - U -

Without, prove that : |{:(1+b,b+c,c+a),(p+q,q+r,r+p),(x+y,y+z,z+x),:}|=2|{:(a,b,c),(p,q,r),(x,y,z):}|

Without expanding, prove that |(a+b x, c+dx, p+q x), (a x+b, c x+d, p x+q),( u, v, w)|=(1-x^2)|(a, c, p),( b, d, q),( u, v, w)| .

Prove that |(a+bx ,c+dx,p+qx),(ax + b, cx +d, px +q),(u,v,w)|= (1- x^3) |(a,c,p),(b,d,q),(u,v,w)|

Without expanding prove that , |{:(a+bx,c+dx,p+qx),(ax+b,cx+d,px+q),(u,v,w):}|=(1-x^2)|{:(a,c,p),(b,d,q),(u,v,w):}|