Given that a' is a fixed complex number, and ' is a scalar variable, the point z satisfying z=a(1+i ) traces out

JEE Main Mathematics question

Given that is a fixed complex number, and is a scalar variable, the point satisfying traces out

(A)A straight line through (this is also correct)
(B)A circle with centre at the point
(C)A straight line through and perpendicular to the join and that point Correct
(D)None of these

Answer: (C)

Solution

with real is the point plus a real multiple of the vector , which is turned through . So traces the straight line through in the direction perpendicular to the

See the full step-by-step solution

Create a free account to read the complete working, and practise questions like this in a timed test.

Create a free account

Question ID VK-013955