If `A=[0 1-1 0]` , find `x` and `y` such that `(x I+y A)^2=A` .

If A=[[0,1-1,0]], find x and y such that (xI+yA)^(2)=A

Find x and y if x(1-i)+y(2+i)+6=0

Find the value of x and y I. 18x^(2)-9x+1=0 II. 12y^(2)-y-1=0

If x^(2)+x=1-y^(2) , where x gt 0, y gt 0 , then find the maximum value of x sqrt(y) .

Find the parametric representation of circles : (i) x^(2) + y^(2) + 12x - 4y - 1 = 0 (ii) x^(2) + y^(2) + 2gx + 2fy + c = 0 .

Find the real values of x and y which satisfy the equation (3+i)x+(1-2i)y+7i=0

If (x_(0), y_(0), z_(0)) is any solution of the system of equations 2x-y-z=1, -x-y+2z=1 and x-2y+z=2 , then the value of (x_(0)^(2)-y_(0)^(2)+1)/(z_(0)) (where, z_(0) ne 0 ) is