If `x , y in R` satisfies `(x+5)^2+(y-12)^2=(14)^2,` then the minimum value of `sqrt(x^2+y^2)` is__________

If x,y in R and satisfy (x+5)^(2)+(y-12)^(2)=14^(2) then the minimum value of x^(2)+y^(2) is

If real numbers x and y satisfy (x+5)^(2)+(y-12)^(2)=(14)^(2), then the minimum value of sqrt(x^(2)+y^(2)) is

If x+y=12 , then minimum value of x^(2)+y^(2) is

The minimum value of y=5x^(2)-2x+1 is

If 2x+3y+6z=14 then the minimum value of x^(2)+y^(2)+z^(2) is

If real numbers x and y satisfy (x+5)^(2)+(y-12)^(2)=196 , then the maximum value of (x^(2)+y^(2))^((1)/(3)) is

If x and y are non-zero number satisfying x^(2)+y^(2)=xy(x^(2)-y^(2)) .Then the minimum value of x^(2)+y^(2) is

If x,y,in R^(+) satisfying x+y=3 , then the maximum value of x^2y is _____________.

If 4x+3y+12z=26, x, y, z, in R , then minimum possible value of x^(2)+y^(2)+z^(2) is __________