Home
Class 12
MATHS
Point P represents the complex num,ber z...

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.

Promotional Banner

Similar Questions

Explore conceptually related problems

If z be any complex number such that |3z-2|+|3z+2|=4 , then show that locus of z is a line-segment.

If z is a complex number,show that |z|^(2)=|z^(2)|

If |z|=2, the points representing the complex numbers -1+5z will lie on

If a point P denoting the complex number z moves on the complex plane such that,|Re(z)|+|Im(z)|=1 then locus of P is

If a point P denoting the complex number z moves on the complex plane such that |RE(z)|+|IM(z)|=1 then locus of P is

If z=x+iy is any complex number and |z-1|=|z+1| then show that |z|=y

If |z|=2 then the points representing the complex number -1+5z will be

If a & b are complex numbers then find the complex numbers z_1 & z_2 so that the points z_1 , z_2 and a , b be the corners of the diagonals of a square.