Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The point of intersection of the curves 
and 
is -
A
B
C
D
None of these
Text Solution
Verified by ExpertsThe correct answer is:
D
arg (z – 3i) = arg (x + (y – 3) i) = 3π/4
⇒ x < 0, y – 3 > 0, 
= tan 
= – 1
⇒ x + y – 3 = 0, x < 0, y > 3. …(1)
arg (2z + 1 – 2i) = arg {(2x + 1) + i(2y – 2)} = π/4
⇒ x > –1/2, y > 1 and 
= tan 
= 1
⇒ 2x – 2y + 3 = 0, x > –1/2, y > 1 …(2)
Hence, (1) and (2) have no point of intersection.
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