The length of perpendicular from `z_(0)=2+3i` on the straight line `(1-2i)z+(1+2i)bar(z)+3=0` is

Length of perpendicular from z_(0)=2+3i on the straight line (1-2i)z+(1+2i)bar(z)+3=0 A) 18/(2sqrt(5)) B) 18/(sqrt(5)) C) 19/(sqrt(5)) D) 19/(2sqrt(5))

The length of perpendicular from P(2-3i) on the line (3+4i)Z+(3-4i)bar(Z)+9=0 is equal to

The reflection of the complex number (2-i)/(3+i) (where i=sqrt(-1) in the straight line z(1+i)=bar(z)(i-1) is (-1-i)/(2) (b) (-1+i)/(2)(i(i+1))/(2) (d) (-1)/(1+i)

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

If z is a complex number then radius of the circle zbar(z)-2(1+i)z-2(1-i)bar(z)-1=0 is

If z_(2) be the image of a point z_(1) with respect to the line (1-i)z+(1+i)bar(z)=1 and |z_(1)|=1 , then prove that z_(2) lies on a circle. Find the equation of that circle.

If |z_(1)| = 2 and (1-i)z_(2) + (1+i)bar(z)_(2) = 8 sqrt(2) , then