If `x,y in R` satisfy the equation `x^(2)+y^(2)-4x-2y+5=0` and `S=sum_(r=0)^(99)(x+ry)` then value of `(S)/(100)` is

If x,y in R satisfy the equation x^(2)+y^(2)-4x-2y+5=0, then the value of the expression ((sqrt(x)-sqrt(y))^(2)+4sqrt(xy))/((x+sqrt(xy))) is

If x,y in R and satisfy the equation xy(x^(2)-y^(2))=x^(2)+y^(2) where xne0 then the minimum possible value of x^(2)+y^(2) is

If the equation x^(2)+9y^(2)-4x+3=0 is satisfied for all real values of x and y, then

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

The sum of the values of X satisfying the equation |x^(2)+4x+3|+2x+5=0 is :

If 2x-3y=0 is the equation of the common chord of the circles x^(2)+y^(2)+4x=0 and x^(2)+y^(2)+2 lambda y=0 then the value of lambda is

If y(x) satisfies the differential equation y'-y tan x=2x and y(0)=0 , then

If x,y in R, satisfies the equation ((x-4)^(2))/(4)+(y^(2))/(9)=1, then the difference between the largest and the smallest valus of the expression (x^(2))/(4)+(y^(2))/(9) is