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
A circle has the same centre as an ellipse & passes through the foci F1 & F2 of the ellipse, such that two curves inters...If the tangent at the point P on the circle x2 + y2 + 6x + 6y = 2 meets the straight line 5x - 2y + 6 = 0 at a point Q o...The equation of director circle to the circle x2 + y2 = 8 is-...Two lines through (2, 3) from which the circle x2 + y2 = 25 intercepts chords of length 8 units have equations...The equation of circles passing through (3, _6) touching both the axes is...