If real numbers `xa n dy` satisfy `(x+5)^2+(y-12)^2=(14)^2,` then the minimum value of `sqrt(x^2+y^2)` is_________

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)=196 , then the maximum value of (x^(2)+y^(2))^((1)/(3)) is

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

If 2x+3y+6z=14 then the minimum value of x^(2)+y^(2)+z^(2) 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 and y are real number such that x^(2)+2xy-y^(2)=6, find the minimum value of (x^(2)+y^(2))^(2)

If M and m are the maximum and minimum values of (y)/(x) for pair of real numbers (x, y) which satisfy the equation (x-3)^(2)+(y-3)^(2)=6 , then the value of (1)/(M)+(1)/(m) is