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)`.

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 be the real numbers satisfying the equation we are of x^(2)-4x+y^(2)+3=0, If the maximum and minimum values of x^(2)+y^(2) are M&m respectively,then find the numerical value of |M+m|

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)

If minimum and maximum values of f(x)=2|x-1|+|x-3|-3|x-4| are m and M respectively then (m+M) equals

If M and m are the maximum and minimum values respectively of the function f(x)= x+ (1)/(x) , then the value of M - m is-

Let x,y,z are positive real numbers satisfying x+y+z=1 . If the maximum value of x^(3)y^(2)z can be expressed as (a)/(b) where a and b are co-prime,then the value of (a+b) is

If 'x' be real, find the maximum and minimum value of : y=(x+2)/(2x^(2)+3x+6)

If M and m are the maximum and minimum values of (y)/(x) for pair of real number (x,y) which satisfy the equation (x3)^(2)+(y-3)^(2)=6 then find the value of (M+m)