64 If z1 and z2 be nth roots of unity which subtend a right angle at the origin, then - Maths - Conic Sections

Question

64 If z 1   a n d   z 2   b e   n t h roots of
unity which subtend a right angle at the origin, then n must be of
the form
(1) 4k (2) 4k+1
(3) 4k+2 (4) 4k+3

65 If |2z-1| = 2|z-4| then locus of z is
(l) A circle with centre (1,4) and radius 5
(2) A straight line parallel to imaginary axis
(3) A straight line parallel to real axis
(4) A parabola with focus (1,4) and vertex at (0,0)

Sandeep Saurav · Accepted Answer

Dear Student,

For remaining queries, we request you to post them in separate threads Hope this information will clear your doubts about topic If you have any more doubts just ask here on the forum and our experts will try to help you out as soon as possible Keep posting!! Regards