find the value of y
`sqrty+sqrt(y-sqrt(1-y))=1`

If x ,y in R satify the equation x^2+y^2-4x-2y+5=0, then the value of the expression [(sqrt(x)-sqrt(y))^2+4sqrt(x y)]//(x+sqrt(x y)) is sqrt(2)+1 b. (sqrt(2)+1)/2 c. (sqrt(2)-1)/2 d. (sqrt(2)+1)/(sqrt(2))

Using binomial theorem, expand [ ( x+y)^(5) + (x-y)^(5) ] and hence find the value of [ ( sqrt(3) + 1)^(5) - ( sqrt(3) - 1)^(5) ] .

Using binomial theorem, expand {(x+y)^5+(x-y)^5}dot and hence find the value of {(sqrt(2)+1)^5+(sqrt(2)-1)^5}dot

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

If y=2+sqrt(3) ,find the value of y^(2)+(1)/(Y^(2))

Find the derivative of y=sqrt(x^2+1) .

If y = 1/x , then the value of (dy)/(sqrt(1 + y^4)) + (dx)/(sqrt(1 + x^4)) + 3 is equal to

Prove that the diagonals of the parallelogram formed by the lines sqrt(3)x+y=0, sqrt(3) y+x=0, sqrt(3) x+y=1 and sqrt(3) y+x=1 are at right angles.

Find the domain of: y=cot^(-1)(sqrt(x^(2)-1))

If x^(2)+y^(2)+z^(2)-2xyz=1 , then the value of (dx)/(sqrt(1-x^(2)))+(dy)/(sqrt(1-y^(2)))+(dz)/(sqrt(1-z^(2))) is equal to………..