If `e^(x)=y+sqrt(1+y^(2)` then the value of y is

If x sqrt(1-y^(2))+y sqrt(1-x^(2))=k , then the value of (dy)/(dx) at x=0 is -

If Y=sqrt(2)+1, then the value of Y+(1)/(Y) is

If 2^(x + y ) = 2^(x - y ) = sqrt8 then the value of y is

Suppose that log_(10)(x-2)+log_(10)y=0 and sqrt(x)+sqrt(y-2)=sqrt(x+y) Then the value of (x+y) is

Suppose that, log_(10) (x-2) + log_(10) y=0 and sqrt(x)+sqrt(y-2)=sqrt(x+y) . Then the value of (x + y) , is

Suppose that, log_(10) (x-2) + log_(10) y=0 and sqrt(x)+sqrt(y-2)=sqrt(x+y) . Then the value of (x + y) , is