If `a, b, c, d, e and f` are non negative real numbers such that `a +b+c+d+e+f=1`, then the maximum value of `ab + bc + cd + de + ef` is

If a+b+c+d=1 then maximum value of ab+ bc + cd + da

If a, b, c and d are positive real numbers such that a+b+c+d= 1 then prove that ab + bc + cd + da le 1/4 .

bc + cd + de + ef + fa. If a + b+ c+de f 12 then the maximum value of ab (a, b, c, d, e, fare non negative real numbers) ) 36 (B) 24 (C) 30 (D) none of these

If A B C and D E F are two triangles such that (A B)/(D E)=(B C)/(E F)=(C A)/(F D)=2/5 , then A r e a( A B C): A r e a( D E F)=

If A B C and D E F are two triangles such that (A B)/(D E)=(B C)/(E F)=(C A)/(F D)=3/4 , then write Area ( A B C): A r e a( D E F) .

In a A B C ,D and E are points on sides A B a n d A C respectively such that B D=C E . If /_B=/_C , show that DE || BC .

In a !ABC bisector of angle C meets the side AB at D and circumcricle at E. The maximum value of CD . DE is equal to

If a/b=b/c=c/d=d/e=e/f=1/3, then find the value of ((a+b+c+d+e)/(b+c+d+e+f)) :