The equation `zbarz+abarz+baraz+b=0, b in R` represents circle, if

The equation zbar(z)+abar(z)+bar(a)z+b=0,b in R represents circle,if

The set of values of k for which the equation zbarz+(-3+4i)barz-(3+4i)z+k=0 represents a circle, is

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

zbarz+abarz+baraz+b =0 where binR represents a real circle of nonzero radius if

If z = x + iy , then show that 2 bar(z) + 2 (a + barz) + b = 0 , where b in R , represents a circles.

Suppose the circle having equation x^2+y^2=3 intersects the rectangular hyperbola x y=1 at points A ,B ,C ,a n dDdot The equation x^2+y^2-3+lambda(x y-1)=0,lambda in R , represents. a pair of lines through the origin for lambda=-3 an ellipse through A ,B ,C ,a n dD for lambda=-3 a parabola through A , B , C ,a n dD for lambda=-3 a circle for any lambda in R