Question

Select all the expressions that are equivalent to

1/2(2).

Z+Z

Z/2

Z/Z

1/4 (z)+1/4 (z)

2(z)

Answer 1

Explanation:

An ellipse is defined as the locus of all points,the sum of whose from two given points is constant. Here z is a complex number whose distance from (1,0) and (−1,0) is constant. Hence the locus of z is an ellipse in the complex plane. Hence z will be all those points which lies on the ellipse with focus (−1,0) and (1,0).