Let the center of the circle represented by `zbarz-(2+3i)z-(2-3i)barz+9=0' be (x,y), ` then the value of `x^2+y^2+xy` is

Find the center and radius of the circle 2zbarz+(3-i)z+(3+i)z-7=0," where " i=sqrt(-1).

If Z is a complex number the radius of z bar z - ( 2+3i)z - (2-3i)barz + 9 =0 is equal to

If 3x + 4y= 16 and xy= 4 , find the value of 9x^(2) + 16y^(2)

If the equation |z-z_1|^2 + |z-z_2|^2 =k , represents the equation of a circle, where z_1 = 3i, z_2 = 4+3i are the extremities of a diameter, then the value of k is

If 2x-3y=5 , what is the value of 4x^(2)-12xy+9y^(2) ?

If (y^(3)-2x^(2)y)dx+(2xy^(2)-x^(3))dy=0, then the value of xysqrt(y^(2)-x^(2)), is

Let the equation of the plane containing line x-y-z-4=0=x+y+2z-4 and parallel to the line of intersection of the planes 2x+3y+z=1 and x+3y+2z=2 be x+Ay+Bz+C=0 . Then the values of |A+B+C-4| is …..

The equation zbarz+(4-3i)z+(4+3i)barz+5=0 represents a circle of radius

Let a function of 2 variables be defined by g(x, y)=xy+3xy^(2)-(x-y^(2)) , what is the value of g(2, -1) ?

Let A=[(0, 2y,z),(x,y,-z),(x,-y,z)] such that A^(T)A=I , then the value of x^(2)+y^(2)+z^(2) is