Relations Test ...

Let S be the set of all triangles in a plane and let R be a relation on S defined by $$\Delta_1S\Delta_2\Leftrightarrow \Delta_1\equiv \Delta_2$$. Then, R is?

Let R be a relation on $$N\times N$$, defined by $$(a, b)$$ R $$(c, d)\Leftrightarrow a+d=b+c$$. Then, R is?

Let A be the set of all points in a plane and let O be the origin. Let $$R=\{(P, Q):OP=OQ\}$$. Then, R is?

Let us define a relation $$R$$ in $$R$$ as $$aRb$$ if $$a \ge b$$. Then $$R$$ is

If $$a$$ relation $$R$$ on the set $$\left\{1,2,3\right\}$$ be defined by $$R=\left\{(1,2)\right\}$$, then $$R$$ is

If A  = { a , b , c , d} and B = { p , q ,r ,s} then relation from A and B is

Rule from of relation {(1 ,2) , ( 2 , 5) , (3 , 10) , ( 4 , 17), ......} in N

A relation R in N is defined such that $$ xRy \Leftrightarrow  x +  4y  =  16 ,$$ then the range of R is

If A  = { a ,b , c} , then numbers of possible non zero relations in A is

Let R be the relation in the set {1, 2, 3, 4} given by:
R = {(1, 2), (2, 2), (1, 1), (4, 4), (1, 3), (3, 3), (3, 2)}. Choose the correct answer.