CircleHard
Question
The locus of the point z which moves such that 2 arg
= π is -
Options
A.a straight line passing through the points (3 - i) and (-1 + 3i)
B.a straight line passing through the points (-3 + i) and (1 - 3i)
C.a semi-circle passing through the points (-3 - i) and (1 - 3i)
D.a part of circle with centre at the point (-1 - i) and radius 2√2.
Solution
arg
So the required locus is
shown in diagram with centre
(-1, -1) and radius 2√2.

So the required locus is
shown in diagram with centre
(-1, -1) and radius 2√2.

Create a free account to view solution
View Solution FreeMore Circle Questions
The circum-circle of the quadrilateral formed by the lines x = a, x = 2a, y = − a, y = a is...The equation to the polar of the point (5, −1 / 2) with respect to the circle (x − 2)2 + y2 = 4 is -...If least numerical value of slope of line which is tangent to hyperbola = 1 is , a ∈ R0 is obtained at a = k. For ...The equations of the tangents drawn from the point (0, 1) to the circle x2 + y2 - 2x + 4y =0 are -...The pole of the line 2x − 3y = 4 with respect the circle x2 + y2 = 16 is -...