Home Maths Complex Number Skill Builder Fill in the blanks. (i) is equal to P . (…
Maths Complex Number Skill Builder Single Correct MCQ
Published on: August 14, 2026

Fill in the blanks.
(i) is equal to P .
(ii) If , then the locus of is Q .
(iii) The sum of the series upto 1000 terms is R .
(iv) If and , then z = S .

(a)

2

Parabola

-1

(b)

-2

Circle

0

(c)

-2

Circle

1

(d)

-2

Parabola

2

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Text Solution

Verified by Experts
The correct answer is:
B

(i)

(ii) We have,

,

which is an equation of a circle.

(iii) upto 1000 terms

( ∵ Sum of four consecutive powers of is 0)

(iv) We have, and

Let

Then, and

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