Show that among all positive numbers `x` and `y` with `x^2+y^2=r^2` , the sum `x+y` is larger when `x=y=r//sqrt(2)` .

Show that among all positive numbers x and y with x^2+y^2=r^2, the sum x+y is largest when x=y=r/(sqrt(2)) .

Show that among all positive numbers x and y with x^(2)+y^(2)=r^(2), the sum x+y is largest when x=y=(r)/(sqrt(2))

Let P={(x,y)//x in R, y in R, x^(2)+y^(2)=1} , then P is

For real numbers x and y define x\ R\ y if x - y + sqrt(2) is an irrational number. Then the relation R is

If R= {(x,y): x, y in W, x^(2)+ y^(2)= 25} , then find the domain and range of R.

If R is a relation on R (set of all real numbers) defined by x R y iff x-y+sqrt2 is an irrational number, then R is

For real numbers x andy, define x R y if x - y + sqrt(2) is an irrational number. Then the relation R is

If R_2={(x,y)| x and y are integers and x^2 +y^2=64 } is a relation. Then find R_2 .

Show that the relation R on the set of natural numbers defined as R:{(x,y):y-x is a multiple of 2} is an equivalance relation

If x, y are rational numbers such that x+ y+(x-2y)sqrt2=2x-y+(x-y-1)sqrt6 then