state gov RPSC 2nd Grade Senior Teacher Mock Test Series 2025 Mathematics Complex Numbers Properties of Complex Numbers
Match the column (Quadrilateral is formed by z1, z2, z3, z4 in the order)
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Column I |
Column II |
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(A) |
Parallelogram |
(p) |
z1 – z4 = z2 – z3 |
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(B) |
Rectangle |
(q) |
|z1 – z3| = |z2 – z4| |
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(C) |
Rhombus |
(r) |
\(\frac{z_1-z_2}{z_3-z_4}\) is purely real |
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(D) |
Square |
(s) |
\(\frac{z_1-z_3}{z_2-z_4}\) is purely imaginary |
|
|
(t) |
\(\frac{z_1-z_2}{z_3-z_2}\) is purely imaginary |
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1
(A) → (p), (r); (B) → (p), (r), (t); (C) → (p), (r), (s); (D) → (p), (r), (s), (t)
2
(A) → (p), (t); (B) → (p), (r), (t); (C) → (p), (r), (s); (D) → (p), (r), (s)
3
(A) → (p), (s); (B) → (p), (q), (t); (C) → (p), (r), (s); (D) → (p), (r), (t)
4
(A) → (p), (r); (B) → (p), (r), (t); (C) → (p), (t), (s); (D) → (r), (s), (t)
5
Question Not Attempted