Show that the relation R defined in the set A of all triangles as `R={(T_1,T_2): T_1( i s s i m i l a r t o T)_2}`, is equivalence relation. Consider three right angle triangles `T_1`with sides 3, 4, 5, `T_2`with sides 5, 12, 13 and `T_3`w

Show that the relation R defined in the set A of all triangles as R={(T_(1),T_(2)):T_(1) is similar to T_(2) }, is equivalence relation.

Show that the relation R defined on the set A of all triangles in a plane as R={(T_(1),T_(2)):T_(1) is similar to T_(2) ) is an equivalence relation.Consider three right angle triangle T_(1) with sides 3,4,5;T_(2),10. sides 5,12,13 and T_(3) with sides 6,8,10. Which triangles among T_(1),T_(2) and T_(3) are related?

Show that the relation R ,defined on the set A of all polygons as R={(P_(1),P_(2)):P_(1) and P_(2) have same number of sides } ,is an equivalence relation.What is the sides all elements in A related to the right angle triangle T with sides 3,4 and 5?

Let T be the set of all triangles in a plane with R as relation in T given by R={(T_(1),T_(2)):T_(1)~=T_(2)}. Show that R is an equivalence relation.

The V-i graph for a conductor at temeratures T_1 and T_2 are as shown in the figure. (T_2 - T_1) is alphaortional to. .

Find the locus of the point (t^(2)-t+1,t^(2)+t+1),t in R