Area under the curveHard

Question

Let z = x + iy, then area bounded by the curve |z| ≤ 2 and (1 - i) z + (1 + i) ≥ 4 :-

Options

A. - 2
B.
C.π - 2
D.3π + 2

Solution


x2 + y2 ≤ 4 ; x + y ≤ 2
× π × 4 - × 2 × 2 = π - 2

Create a free account to view solution

View Solution Free
Topic: Area under the curve·Practice all Area under the curve questions

More Area under the curve Questions

The area bounded by the curves y = x(1 - lnx) and positive x-axis between x = e-1 and x = e is -...The area bounded by the lines y = 2 + x and y = 2 − x and x-axis is-...The area of the figure bunded by the curves y = |x − 1| and y = 3 −|x| is -...The area bounded by the curve y = x |x|, x -axis and the ordinates x = 1, x = − 1 is given by -...The area of the region described by A = {(x, y) : x2 + y2 ≤ 1 and y2 ≤ 1 - x} is...