given `x,yepsilonR`, `x^2+y^2gt0` If the maximum and minimum value of the expression `E=(x^2+y^2)/(x^2+xy+y^2)` are M and m respectively and A denotes the average value of M and m, compute 2016A

given x,y varepsilon R,x^(2)+y^(2)>0 If the maximum and minimum value of the expression E=(x^(2)+y^(2))/(x^(2)+xy+y^(2)) are M and m respectively and A denotes the average value of M and m compute 2016A

Let x,y in R , then find the maximum and minimum values of expression (x^(2)+y^(2))/(x^(2)+xy+4y^(2)) .

Let x,y in R , then find the maximum and minimum values of expression (x^(2)+y^(2))/(x^(2)+xy+4y^(2)) .

Let x,y in R , then find the maximum and minimum values of expression (x^(2)+y^(2))/(x^(2)+xy+4y^(2)) .

Real number x,y satisfies x^(2)+y^(2)=1. If the maximum and minimum value of the expression z=(4-y)/(7-x) are M and m respectively,then find the value (2M+6m)

If xyz = 1 and x, y, z gt 0 then the minimum value of the expression (x+2y)(y+2z)(z+2x) is

If xyz = 1 and x, y, z gt 0 then the minimum value of the expression (x+2y)(y+2z)(z+2x) is

If maximum & minimum value of function f(x)=x^(3)-6x^(2)+9x+1 AA x in [0, 2] are M & m respectively, then value of M – 2m is :

If M and m are maximum and minimum value of f(x)=cos^(2)x-4cos x+7,x in R respectively then find (M-m)