Which of the following complex numbers is equivalent to 3 - 5i ? (Note: i = -1) 8 + 2i 5i 3 A) 8 2 5i 3 B) 8. 23i 7 C) 34 34 23i + 34 7 D) 34

Q: In the complex number 3 + 4i, the absolute value is: А. 3 В. 4 С.5 D. 6

A: Solution

Q: Multiply and Simplify 7i (2 + 5i) - 2i(3+4i) O a) 8i + 27i² O b) 20i + 43i² O c) 20i - 43 O d) -27 +…

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Q: 2) Consider complex numbers z₁ = 4-3i and z₂ = −6+4i and compute a. Z₁ Z₂ b. 21 Zz C. Z1

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Q: IN! Write each complex number in standard form. 4 10. 25 Choices for 10-16: 1 A) 11. B) C) -- 49 D)…

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Q: +=i Divide the complex numbers. Write the quotient as a complex number in standard form. 12-8i 63.…

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Q: (16—4i) — (12 — 3і) (3i + 7) + (34 – 6i) (-4+7i)+(8– 9i) (-1-i)-(-3– 4)

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Q: 1. The complex numbers s and t ar as follows: s = 3+i, t= 2 – 3i Calculate the following. a) st +5…

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Q: The complex number (−9+7i)/(9+5i) rewritten in Cartesian form is?

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Q: The argument of the complex number -3 - 4i is 53.13 degrees.

A: solution is given as below:

Q: Operate (3 + 7i) + (8 + 11i). A) -8 - 3i B) 10 + 19i (c) -11 - 8i D) 11 + 18i

A: We have to operate  (3+7i) +(8+11i)

Q: 4. What is the simplification of the following comple expression (i = -1) 4+3i 1– 3i 13 9. 1 3 A) 10…

A: 4+3i1-3imultiply and divide by…

Q: 1. Write the complex number i+ in the form of reie.

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Q: 4. What is the simplification of the following complex expression (i? = -1) 5-i 3+i

A: To simplify the given complex expression:- 5-i3-i

Q: 2+J3 7-18 a) + 1-16 -5+/11 b) (5210°) (102-40°) (42-80°) (-6250°)

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Q: If 4,,2 are two complex numbers then : ollz|-|z||>|z1-z |z,+z2ls\z]\+|z3l |

A: If z1,z2 are two complex numbers, then (a) z1+z2=z1+z2 (b) z1-z2>z1-z2 (c) z1+z2≤z1+z2 (d)…

Q: Perform the following operations on the complex numbers. a) (4– 6i) – (-8 - 9i) b) (4 – 6i)(-8 – 9i)…

A: (a) Perform the subtraction operation for the given complex numbers.…

Q: Which of the following complex number is represented in the Argand diagram shown? -1 -1 1 2 --1- --2…

A: If we have a complex number a+ib Here a is the real part of the complex number and b is the…

Q: The complex numbers 21, 22, 23, 24 are defined as follows: 2₁ = a + 5i 22=-6+6i 23 = 7+-2i If the…

A: I have explained everything with in the solution. Please go through that.

Q: If u and vare complex numbers such that u = 3 – 5i and v= -6 + i, which of the following is…

A: Given u = 3 - 5i   and   v = -6 + i

Q: Question 10 Fimplify: 2i ( i- 1) A -2- 2i B) i c) -2i D 2- 2i

A: We want to simplify 2i(i-1)

Q: 6. Write the complex number is standard form (a + bi) 14- V-98 -7

A: As we know from the radical rule: -a=-1a   Given: 14--98-7

Q: Bo Im liz) - Re (2) A. -2-2i B. 2+ i C. il1-13 i)5 +i)

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Q: 1. Write the complex number 2 + iv3 in the form of rei0

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Q: Use de Moivre’s formula to find the Cartesian form of the complex number  (-2 + 2√3i)7

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Q: Multiply and simplify (5 + 3i) (3 − 2i) O a) 21 + i Ob) 21 - i ○ c) 15 — i — 6i² O d) 15 – 19i – 6i²

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