Match each complex number to its conjugate. Write the letters of the conjugate pairs in the given table. Not all complex numbers will have a conjugate given in the table. -9-2i -5 8+3i -3-3i 10i 9 + 2i 3-31 -5 8-3i 3+3i -8-3i -3+3i -10i 10i -9 +2i Complex Number Complex Conjugate

Q: a) i. Given that 'm' and 'n' are powers of 'a', state four laws of indices ii. Explain the concept…

A: Given : m and n are power of a

Q: Write the complex conjugate of the complex number. 3 + 5i

A: Write the complex conjugate of the complex number. 3 + 5i

Q: Multiply each complex number by its complex conjugate. a. 3 + 6i   b. 2 − 5i

A: A complex number is a number of the form a+bi with a,b being real numbers. In this form we have a is…

Q: Write the complex conjugate of the complex number 9 + 2i. Then multiply the number by its complex…

A: Given complex number is: 9+2i ; where i=-1 We know that the conjugate of a complex number a+bi is…

Q: Write each expression in the form a+bi, where a and b are real numbers. You may plot the numbers in…

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Q: Simplify, then express each in complex number form “a+bi” 1) -3(4+2i) -2(5-3i) 2) (4+3i)^2 3) 11+2i…

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide…

Q: The conjugate of the complex number -4 – 3i is a) 3 – 4i b) 3 + 4i c) -4 – 3i Qd) -4+ 3i

A: A conjugate is where we change the sign in the middle.  i.e        Conjugate of a+ ib = a- ib

Q: Find all complex numbers which make the following equations true 2+1=1 and +1|= 1

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Q: Plot each number in the complex plane. A: 5i B: 2+4i C: -3 D; 1-3i E: -5-2i

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Q: 1. Write the complex number i+ 2 in the form of reio

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Q: a) z5 = -32 b) z² + (i – 2)z + (3 – i) = 0 %3D ||

A: We have to find roots of given equation by De Moivre's formula.

Q: -3 + i

A: -3+i = (-3,1)

Q: (5-8) and (-31)

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Q: 3+4i 2i Simplify the expression to a single complex number:

A: We can solve the Complex number expression by using the technique of Complex conjugate . In the…

Q: The conjugate of complex number z satisfy: Oz+z=1 Oz-z=0 Oz-z=2ilmz | Oz+z=2Rez

A: let's consider a complex number , z=Re(z)+i Img(z)  i.e z=x+iy

Q: Write the combination of complex numbers in the form a + b*i. (-1 + 4i) + (4 + 3i) = (9 - 4 i) -…

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Q: Find the midpoint between the pair of complex numbers. (-5 - 8i) and (-3i) O 2.5 + 2. 5i O-2.5 5. 5i…

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Q: Subtract the complex numbers. 5i -(-2i) 5i -(-21) =O

A: imaginary number   An imaginary number is a complex number that can be written as a real…

Q: Find the difference between the complex numbers. (4 – 7 i)- (5+ 6 i )-(-1-13 i) (4 – 7 i)- (5+…

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Q: Represent the sum of the complex numbers -4+ 3i and -2 – i on the complex plan Use the Point and…

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Q: Graph the complex number. Im Im if if - Re 1 2 Re 5 6 -6 -5 -4 -3 -2 -1 -it -6 -5 -4 -2-1 1 -i 2 3 4…

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Q: Divide Complex numbers 5 (2i +1) (Refer: use conjugate to simply the complex number) -2i + 1 2i + 1…

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Q: Determine real part, imaginary part and absolute value of the following complex numbers: a) H b)…

A: Explanation of the answer is as follows

Q: -1 +3i vhat is the real part of the complex number: 7 = 2 A) -1/2 B c) -1 D2V3 2.

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Q: Plot each complex number: 1. -3i 3 2. 1. -2 -1 5. -11 -2

A: In complex plane  z = x + iy    = (x,y)

Q: Plot and label each complex number in the complex plane. 1) z = -5i 2) z = -2+i 3) z = 3- i

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Q: 1. Write the complex number i+2 in the form of reio

A: The complex number z can be written in the form of . The value of r can be obtained from the formula…

Q: Find the sum and the product of the complex numbers 3 - 2i and - 3 + 5i.

A: Given complex numbers are: 3-2i and -3+5i       ……1

Q: 2. Identify the conjugate of each complex number, then plot both complex numbers and their…

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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: Express the complex number z = :-1+i/3 in the form z = re and then find z.

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Q: Find the distance between these two complex numbers: -8 + i and -3 + 8i.

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Q: Solve each equation over the set of complex numbers, find the magnitudes of the solutions and draw…

A: Solution of this question is

Q: Find the sum and the product of the given complex numbers. Plot a quadrilateral with the origin, the…

A: Given two complex numbers, z1=-3-i, z2=4+5i. We have to sum and product and plot them.

Q: If a +bi and c+ di represent two complex numbers with real components, a, b, c and d, then which of…

A: a + bic+ di = ac + di + bic + di = ac + adi +bci +bdi2 =ac-bd +ibc+ad        [i2 = -1 ]

Q: Represent the sum of the complex numbers -3+ 2i and –3 – i on the complex plane. Use the Point and…

A: We have to plot the sum of two complex number on complex plane.

Q: Find the midpoint between the pair of complex numbers. (-8 - 7i) and (-10) O-4 8. 5i -9-3.5i 04+8.5i…

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Q: Represent the complex number geometrically.(1 + i)2

A: Given complex number is: 1+i2 We have to represent the given complex number geometrically.

Q: Which complex number labeled in the complex plane below is the plot of the complex number –4 – i?…

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Q: Find the sum and the product of the given complex numbers. Plot a quadrilateral with the origin, the…

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Q: Identify the real and imaginary parts in the following complex number: -9 -12i

A: Given complex number is : -9 - 12i The real number a is called the real part of the complex number a…

Q: Write the conjugate as a complex number  −7 + 5i

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Q: Find the product of the complex number and its conjugate 3+√6i

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Q: Combine the complex numbers. (9+2i)-(5+6i)

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Q: a. -16 + V-7 b. 47 ,601

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Q: Evaluate the following complex numbers. Express your answers in rectangular form and Euler form.…

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