Published by:
CGP EDU Academic Team
Published on: August 12, 2026
The curve represented by z = 
, θ ∈ [0, 2π)
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(a, b, c, d)
z 
= 
+ sin 2 = 
For imaginary axis, real part = 0
i.e. 2 + cosθ = 0 which is not possible, so curve never meets the imaginary axis
For real axis Im z = 0
⇒ sinθ = 0
⇒ θ = 0, π ∈ [0, 2π), so curve meets the real axis in two points.
|z| = 
= 3(5 + 4 cosθ) -1/2
⇒ |z| max = 3, |z| min = 1
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