Given z=1-2i/3+5i find z+z* where z* denotes the complex conjugate of z. Figure out z and z* in the a+bi form before computing the arithmetic, finally giving your answer in the a+bi form..

Q: Plot the point corresponding to, z =2(cos30ο +isin30ο ) in the complex plane, and write an…

A: z = 2(cos 30° + i sin 30°)

Q: Express the result in trigonometry and rectangular form Complex Number Arithmetic Let -1 + V3i Z1 =…

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Q: x2+1 =0 Has soluion in R

A: Solution:

Q: Let , ² be the complex cube roots of unity. Let z₁, Z₂, Z3 be complex numbers such that Z₁ + Z₂ +Z₁…

A: Given that, Let ω,ω2 be the complex cube roots of unity. Let z1,z2,z3 be complex numbers such that…

Q: 1) Write a complex number in a standard form z = x + ly:: 2+i (2- i)(3i+ 4)(i+1)

A: The given complex number is

Q: Let x₁, x₂ are the roots of the quadratic equation x² + ax + b = 0, where a, b are complex numbers…

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Q: Let z be a non-zero complex number. Then Log(z²) = 2Logz ) None of these O if OSArg(z)ST/2 O if…

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Q: Let z be a complex number with |z = 11 and let z0 = 17 – 20i. What is |z – z0| + |z+ zo|??

A: Given:- Let z be complex number with |z| =11 and z0 =17 -20i  To find:- value of |z - z0 |2 +  |z…

Q: Find the complex number z, in Cartesian form, such that it satisfies the equation (1-√3i)5+ (√3-i) z…

A: Answer

Q: 2. Find the general value of z in the complex number : - jl O A. J[(2/3)nk+ Tt/6] O B. J[(2/3)nk -…

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Q: Let z be a complex number with |z|=17 and let z0=17−11i . What is |z−z0|^2+|z+z0|^2 ?

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Q: Let (zn)n≥1 be a geometric progression of complex numbers, and suppose that z3 = −1 and z5 = 7. Find…

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Q: Take the last four digits ABCD of your student identification number, and let z1= A + Bi and z2 = C…

A: Here, z1=5i z2=6+4i

Q: (a) (b) (c) (d) (1+2i) ² 2 1/(1+i) √3-4i ein/4

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Q: If Z = 2 + 5i, write down the conjugate of Z. Multiply Z by its conjugate and write answer in the…

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Q: Express all answers in Rectangular Form. 1. (1 + j3)z² + (5 + j6)z + 7 – j6 = 0 2. 3z? – (5 – j4) z…

A: Since you post more than three subparts questions as per our guideline we can solve only first three…

Q: Let z be a complex number. Then Im(-iz+1) = * O =liz-1| None of these O zliz-1| O sliz-1| OOO

A: Let z be complex number then

Q: Show that |a²| = aRez if a is a positive real constant..

A: Let z = x + yi, where x and y are real numbers. Then, we can write a^z as:   a^z = a^(x+yi)

Q: bers are conjugate. If z, and z2 are two non-zero complex numbers st jal arg (2) ) - arg (z2 ).

A: Since we know that, | Z1 + Z2 | = |Z1| + |Z2| only when the the point Z1 , Z2 and origin are…

Q: Let x₁, x₂ are the roots of the quadratic equation x² + a where a, b are complex numbers and y₁, y2…

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Q: Let Z1 and Z2 be roots of the equation z + pz + q = 0, where the coefficients p and q may be complex…

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Q: 4. Show that any complex number of norm 1 (except -1) can be written in the form z = (1 + it)/(1 −…

A: We have to prove that any complex number of norm 1 (except -1) can be written in the form…

Q: For z=1+i find the product of z and its complex conjugate zZ

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Q: In the following, find each complex number in the form a + bi, and plot each in the complex (a) (2 –…

A: i HAVE PROVIDED SOLUTION IN STEP2.

Q: a

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Q: Let z be a complex number. Then Im(-iz+1)= * O =liz-1| None of these O 2liz-1| <liz-1|

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Q: Find all of the complex third roots of i .

A: given complex number is i. we have to find all of the complex third roots.