Find the sum of the complex numbers in the complex plane. Imaginary axis 10 8 • (3, 8) 6 (-1, 5) 4 2 Real axis -6 -4 -2 2 4 6 – 2

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: Find the sum of the complex numbers in the complex plane. Imaginary axis 10 8 6. (5, 4) 2 - Real…

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Q: Plot the complex number. 3 + V3i Imaginary Imaginary axis axis 4| 4| 2 2 Real Real -4 -2 4 axis -4…

A: To plot the given complex number

Q: Graph the complex number on the complex plane.   −2+3i

A: -2+3i

Q: The complex numbers z1, z2, and z3 are the vertices of a triangle and satisfy the following…

A: Given that z1, z2, and z3 are the vertices of a triangle satisfying the given condition. We have to…

Q: 3. If a=4-i and b=10+3i, then which of the following is the value of 3a-4b? -28+9i -21-15i…

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Q: Find the sum of the complex numbers in the complex plane. Imaginary axis 10 8 6 (-2, 3) 2 (4, 1) +…

A: According to the graph we can write the points as                                            A = 4 +…

Q: Plot the numbers in the complex plane. a) -6 b) 5 -6i

A: General form of a complex number is,                    Z= a+ ib  Where a is called real part of the…

Q: 13. Find the complex number. real imaginary com 4 -7i O 4+7i 11i 4 - 7i 3i -28i 14. Multiply the…

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Q: Plot the complex numbers –4+i and 6–Ni in the complex plane. Imaginary Axis 8- 6-+ 5- Real Axis -8…

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Q: Plot the complex numbers 8-6i and -5- i in the complex plane. Imaginary Axis 田 7- 4 2- Real Axis -8…

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Q: 6+2.5i What is the simplified expression of the complex number 3+4i

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Q: |z + | = |2 – |. %3D

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Q: Plot the complex numbers 2i and -5+3i in the complex plane. Imaginary Axis 7- 6- 5- ? 4 3- 2- 1-…

A: We will plot the points.

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: 3. Determine all complex numbers z for which |2z – 1| < 2|2 – i|.

A: The given problem is to find all the complex numbers that satisfies the given complex inequality.

Q: Plot the complex number. 3 + V3i Imaginary Imaginary axis axis 4 3 + V3 i Real Real -4 -2 2 4 axis…

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Q: (-9 9-10i) (2-7i)

A: Simplification

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: (-1- 4i) - (-2 - 61)

A: We can solve the answer as below

Q: Plot the complex numbers –2+i and 8 –3i in the complex plane. Imaginary Axis 8. 6- 4. 3. 2. Real…

A: see below the answer

Q: 5. Divide complex numbers. 10 а. 1-2i -3-6i b. 2i

A: Given:                a) 101-2i   Solution:                    Determining the conjugate of the…

Q: 6. Conjugate of the complex number is the reflection in the real axis of the complex number True…

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Q: Plot the number -2 – i on the complex plane. 4- imaginary real -4 -3 -2 -1 -1 2 3 4 -2 -3 -4 32

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Q: The complex numbers z1, z2, and z3 are the vertices of a triangle and satisfy the following…

A: Given:          z1-z2z2-z3=1-i32         multiply numerator and denominator with1+i3…

Q: 7-3i What is as a single complex number? What do you notice? 5-2i

A: To convert in single complex number

Q: Plot the complex numbers 8-7i and -4-i in the complex plane. Imaginary Axis 8- 7- 6+ 5+ 4. 3- 2- 1-…

A: Given,  complex numbers 8-7i and -4-7i. We need to plot them in the complex plane.

Q: Plot the complex number on the complex plane and write it in polar form and in exponential form.…

A: Find the polar form and exponential form of a complex number

Q: Find the sum of the complex numbers in the complex plane. (4 + i) + (2 + 61)

A: Explanation and solutions is given below....

Q: C. If the given complex number is a root of a polynomial equation, give the complex conjugate that…

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Q: A complex number has : A real part and a complex part B real part and imaginary part C Imaginary…

A: All complex numbers can be written in the form a+ib where a : real part of the complex number b :…

Q: Given the complex numbers z, = 2 + j3,zz = -1 - j2, and zs = 4 + j4 find; ZZ2 m(高) (5)+(6 (六)(五)+ Z2…

A: We have to simplify given complex expression.

Q: Find the distance between the complex numbers in the complex plane. −4 + i, −2 + 4i

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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: Let i denote the square root of -1. For the two complex numbers z = 3e and w = 6e' 3 find z. w. Give…

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Q: Plot the complex numbers -6+i and 1 in the complex plane. `Imaginary Axis 6+ 3+ 1- Real Axis $ -7 -6…

A: We are going to draw

Q: Plot the complex numbers 3-i and -8+7i in the complex plane. Imaginary Axis 8- 7- 6- 3- 2- Real Axis…

A: We have to draw

Q: The complex number z=2eiπ/4 can also be written as z=√2i z=√2+√2i z=2+2i z=√2

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Q: 1-18i Q2- The complex number zsatisfies the equation 4Z - 37 2-i Then Z = ......... .........

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Q: Find the values of a, b,and c for y = x-6x +5. , b = ,c= Find the complex number. real imaginary…

A: Topic :- Algebra and complex number

Q: 20. Add the complex numbers. (2 + 3i) + (4 – 24) 8 - 6i 6 - 5i 6+i 6+ 5i 6 - i

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Q: Plot the complex numbers -6+i and 1 in the complex plane. Imaginary Axis 5- 3+ Real Axis $ -7 6 -5 4…

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Q: Find the distance between the complex numbers in the complex plane. −4 − 6i, 6 + 2i

A: By  using distance  formula between two points

Q: 5. Find the real parts, the imaginary parts and the conjugates of the following complex numbers. Re…

A: General Form of Complex number is as below: a+b i where a=real part= Re zb=imaginary part = Im z…

Q: 7-3i 10. What is as a single complex number? What do you notice? 5-2i

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Q: Plot the complex number and its complex conjugate. -3 + 2i Imaginary axis 10 8 Imaginary axis…

A: given complex number is -3+2i plot the graph for complex number and its conjugate

Q: Add the complex numbers. Express your answer in the form (a + bi). (8 – i) + (-3 - 4i) E Tutorial

A: Given(8-i)+(-3-4i)

Q: completely factor over the complex numbers 4x^2+20 = 0

A: