Find the least value of `(x-2)^2+(y-2)^2` under the condition `3x+4y-2=0.`

Find the least value of (x-1)^(2) + (y-2)^(2) under the condition 3x+4y -2 = 0.

Find x when the least value of 2x^(2)+3y^(2) under the conditions x+y=2,x>=0,y>=0 occurs.

The least value of 2x^(2)-4x+3y^(2)-18y+31 is

Find the maximum value of x+y subjected to the condition 4x+3y le 12, 2x + 5y le 10, x le 0, x ge 0, y ge 0 .

Find the value of x and y- 2x+3y=0 3x+4y=5

Find the minimum value of (a^(2))/(x^(2))+(b^(2))/(y^(2))(a,b)in N under the condition a^(2)x^(2)+b^(2)y^(2)=1

Find the image of the (-2,-7) under the transformations (x,y) to (x-2y,-3x+y).

Find the least and greatest value of f(x,y) = x^(2) + y ^(2) - xy where x and y are connected by the relation x^(2)+4y^(2) = 4 .

Find the value of x and y4x^(2)+4y-2=0,2x^(2)+6y=0