If `y=2|x-2|+3|x+1|` then `y_min` is equal to

If x/2 + y/3 = 4 and 2/x + 3/y = 1, then what is x + y equal to ?

The area bounded by y=min(x, 2-x) with y=(x-1)^(2) is K sq. units, then [K] is equal to (where, [.] is the greatest integer function)

If x^2+y^2=t -1/t and x^4+y^4=t^2+1/t^2 then (dy)/ (dx) is equal to a) 1/(x^2y^3) b) 1/(xy^3) c) 1/(x^2y^2) d) 1/(x^3y)

If [(x+y,y),(2x,x-y)][(2),(-1)]=[3/2] then x.y is equal to :

If [(x+y,y),(2x,x-y)][(2),(-1)]=[3/2] then x.y is equal to :

If x^2+y^2=1 and P=(3x-4x^3)^2+(3y-4y^3)^2 then P is equal to

Let the area of the region {(x, y): 0 le x le 3 , 0 le y le min{x^2+ 2, 2x 2}} be A. Then 12A is equal to _____.