If S be the set of all triangles and `f : S -> R^+, f(Delta) =` Area of `Delta`, then f is-

Let S be the set of all triangles and R^(+) be the set of positive real numbers,then the function f:S rarr R^(+),f(Delta)= Perimeter of Delta in S then ^( tf is )

Let S be the set of all triangles and R^+ be the set of positive real numbers. Then the function f: SrarrR^+,f(Delta)=a r e aof Delta ,w h e r e in S , is

Let S be the set of all triangles and R^+ be the set of positive real numbers. Then the function f: SrarrR^+,f(Delta)=area of Delta ,where Delta in S , is injective but not surjective. surjective but not injective injective as well as surjective neither injective nor surjective

Let S be the set of all triangles and R^+ be the set of positive real numbers. Then the function f: SrarrR^+,f(Delta)=area of Delta ,where Delta in S , is injective but not surjective. surjective but not injective injective as well as surjective neither injective nor surjective

Let S be the set of all triangles and R^+ be the set of positive real numbers. Then the function f: SrarrR^+,f(Delta)=a r e aof Delta ,w h e r e in S , is injective but not surjective. surjective but not injective injective as well as surjective neither injective nor surjective

Let S be the set of all triangles and R^(+) be the set of positive real numbers. Then the function f: S rarr R, f(Delta)= area of Delta , where Delta in S , is

Let U = the set of all triangles , P = the set of all isosceles triangles, Q - the set of all equilateral triangles , R = the set of all right angled triangles. What do the sets P uu Q represents ?

Let A be the set of triangles in a plane and RR^(+) be the set of positive real numbers. Then show that, the function f:A rarr RR^(+) defined by , f(x)= area of triangle x, is many -one and onto.

if (a,b) , (c,d) , (e,f) are the vertices of a triangle such that a, c, e are in GP . with common ratio r and b, d, f are in GP with common ratio s , then the area of the triangle is

If Delta denotes the area of any triangle and s its semiperimeter, prove that Delta is less than S^2/4