If `x^2+4y^2=4` and range of f(x,y)=`x^2+y^2-xy` is `[alpha,beta]`. Find the product `(alphabeta)`

Find the product: (2x+3y)(x-y+2xy)

Find the product of (-4xy)(2x - y).

If x^(4) + y^(4)=19 and x+y=1 find x^(2)y^(2)-2xy

The point of intersection of the pair of lines x^(2)+xy+2y^(2)-3x+2y+4=0 is (alpha,beta) then 2 alpha+beta=

If x^2+y^2=7 and xy=2 then x^4-2x^2y^2+y^4=

If f(x,y)=2x^(2)-xy+2y^(2) then find f_x at the point (1,2)

If f(x,y)=2x^(2)-xy+2y^(2) then find f_x at the point (1,2)

If x=4(l)/(1+l^(2)) and y=(2-2l^(2))/(1+l^(2)) wherel' is a parameter and range of f(x,y)=x^(2)-xy+y^(2) is[a,b ] then (a+b) is equal to