CircleEasy
Question
The locus of the point z which moves such that 2 arg 
= π is -
= 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 locus of the mid-point of the chord of contact of tangents drawn from points lying on the straight line4x - 5y = 20 ...The line ax + by + c = 0 is a normal to the circle x2 + y2 = r2. The portion of the line ax+ by + c = 0 intercepted by t...If the circle x2 + y2 = 9 touches the circle x2 + y2 + 6y + c = 0, then c is equal to -...The angle between the tangents drawn from the origin to the circle (x − 7)2 + (y + 1)2 = 25 is-...The circle x2 + y2 + 2gx + 2fy + c = 0 bisects the circumference of the circle x2 + y2 + 2ax + 2by + d = 0, then -...