Given two points `P(z)` and `Q(z+1/z)` if P moves upon circle `|z|=2`, then Q moves on

Point P represents the complex num,ber z=z+iy and point Q the complex num,ber z+ 1/z . Show that if P mioves on the circle |z|=2 then Q oves on the ellipse x^2/25+y^2/9=1/9 . If z is a complex such that |z|=2 show that the locus of z+1/2 is an ellipse.

Point P represents the complex num,ber z=x+iy and point Q the complex num,ber z+ 1/z . Show that if P mioves on the circle |z|=2 then Q oves on the ellipse x^2/25+y^2/9=1/9 . If z is a complex such that |z|=2 show that the locus of z+1/z is an ellipse.

Point P represent the complex number z=x+iy and point Qrepresents the complex number z+1/z. If P moves on the circle |z|=2, then the eccentricity of locus of point Q is

On the Argand plane ,let z_(1) = - 2+ 3z,z_(2)= - 2-3z and |z| = 1 . Then (a) z 1 moves on circle with centre at ( − 2 , 0 ) and radius 3 (b) z 1 and z 2 describle the same locus (c) z 1 and z 2 move on differenet circles (d) z 1 − z 2 moves on a circle concetric with | z | = 1

Two points P and Q in the Argand diagram represent z and 2z+3+i. If P moves on a circle with centre at the origin and radius 4, then the locus of Q is a circle with centre

If z_(0),z_(1) represent points P and Q on the circle |z-1|=1 taken in anticlockwise sense such that the line segment PQ subtends a right angle at the center of the circle, then z_(1)=

If z_(0),z_(1) represent points P and Q on the circle |z-1|=1 taken in anticlockwise sense such that the line segment PQ subtends a right angle at the center of the circle, then z_(1)=

Two points P and Q in the argand plane represent the complex numbers z and 3z+2+u . If |z|=2 , then Q moves on the circle, whose centre and radius are (here, i^(2)=-1 )

Two points P and Q in the argand plane represent the complex numbers z and 3z+2+u . If |z|=2 , then Q moves on the circle, whose centre and radius are (here, i^(2)=-1 )