i have some problem..
please do help

Que. In the sides BC , CA , AB are taken 3 points A' , B' , C' such that

BA': A'C = CB':B'A = AC': C'B = m:n

prove that if AA' , BB' , CC" be joined they will form by their interesections a triangle whose area is to that of triangle ABC as

(m-n)2 : m2 + mn + n2


please help even a hint will work !
thanks !

1)) Let z=x+iy be a complex nos where x and y are integers. then the area of the rectangle whose vertices are the roots of the equation z(zbar³⁾ + (zbar)z³= 350 is.............

i) 48       ii)32         iii)40           iv)80  

2)) The solution set of f'(x)>g'(x) where f(x)= (1/2)5^2x+1 and g(x)=5^x+4xlog5 is.........

i) (1,infinity)     ii) (0,1)       iii) [0,infinity)     iv) (0,infinity)

What is the n factor for the following reactions :?