Question

The shaded region, where P = (-1, 0), Q = (-1 + √2, √2) R = (- 1 + √2, - √2), s = (1, 0) is represented by

Answer 1

The correct option is (a) |z + 1| > 2, |arg (z + 1)| <π/4

Explanation:

Since, |PQ | = |PS| =|PR| = 2

∴ Shaded part represents the extemal part of circle having centre (-1, 0) and radius 2

As we know equation of circle having centre z₀ and radius r,is |z - z₀|= r

Also, argument of z + I with respect to positive direction of x-axis is π/4.