V-1, is If x1 = represented by the point A (4, -3) in the x-y plane shown below. If point B, not shown, represents the complex number x2 = 2ix1, which of the following is the approximate perimeter of the triangle formed by A, B, and the origin O? 4 – 3i, where i = 4/ 31- 21- 1/- -1 -1/- -21- -31- -4/- -5-

Q: 3- where a is a complex number 1³ + axy² + 1 + iv(r,y) dz 22 |z|=1

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Q: 1. Having the following complex numbers A= 5 – 21 and B= 3 + 8i a) A + B b) В — А c) A*B d) What is…

A: a) Given complex numbers A=5-2iB=3+8i In addition of complex numbers real terms are added and…

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Q: Ihe complex number z is defined by z = a + ib, where a and b are real. The complex is denoted by z*.…

A: Given: z=a+ib, z*=a-ib

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Q: Let a = V3 – i and b = -1 + i be two complex numbers. %3D (9a)| Compute the value of b18 = Z a7…

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Q: If u = 2 – 3i ,v = 1+ 2i and w = 4i then the complex uv number is | 8 8 (a) 글-i (b)-2i (c) 를-i (d)…

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Q: (a) If z is a complex number such that z =8i, write z in the form a +bi. Given that =, =2 b where a…

A: These are complicated & lengthy problems,so I can do it in Advanced mathematics.

Q: Consider the complex numbers: z = 2 – i and w = 1+3i . Sketch (in the same diagram) 2, w, zw and z:

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Q: Find the midpoint of the line segment joining the points corresponding to the complex numbers in the…

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Q: 3. How may the following complex numbers be obtained from z = x + iy geometrically? Sketch. а. 2 b.…

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Q: 2.1 Find the value of x and y from the given complex equation (-2+ i)x + 2y =1+ 3i. 2.2 Write the…

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Q: Find in the form of red, the six complex numbers which satisfy the equation 2° +32+32( V3 )i = Hence…

A: Given:                       z6+32+323i=0 ....... (*) To find: Solution of (*) of the form reiα.…

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Q: Find the cubic roots of the Complex number Z=-j and graph these roots in the complex Plane? Ans. Wo…

A: To find cube root of given complex number first convert into euler form then take cube root. Then…

Q: 1 A complex number is given by z: 1 + i. /2 V2 Using de Moivre's theorem, the value of z14 is:

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Q: The complex number Z1and Zzare given by, Z1 = 3 – 5i and Z, = -1+4i Determine: 221 + 5Z2 O1+ 10i 01-…

A: Given: Z1=3-5i & Z2=-1+4i We know that; a+bi±c+di=a±c+b±di And ca+bi=ca+cbi, where c is scalar.

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A: We know that z=x+iy and z = x2+y2 Then 3z-6i = 33(x+iy)-6i = 33x+3iy-6i = 33x+(3y-6)i =…

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Q: then find (An B C). Z, +Z3 1-i3 Z2 - Z3 (B) right angled isosceles (D) obtuse angled 7. The complex…

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Q: 2. Find the set of points satisfying the equation in the complex variable z: |2* + 2i| = |3(z – 3i)|…

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Q: 4. What is the rectangular form of the complex number 7.2e(7a/13)i? c. 7.15 – 0.87i a. -0.87 + 7.15i…

A: Note: As per bartleby guidelines for more than one questions asked, only one question is to be…

Q: Let z, and z2 be two complex roots of the equation z2 + az + b = 0. Assume that the Origin, z1, and…

A: Given  Let z₁ and z₂ be two complex roots of the equation                  z² + az + b = 0. Assume…

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A: We have given α, β, γ, δ are real numbers such that γδ is real number and αδ - βγ ≠0.

Q: The complex number Z1 and Z2 are given by, Z1 = 3 - 5i and Z2 = -1+4i %3D Determine: 2Z1 +5Z2

A: topic - complex numbers

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Q: Q3. Given the complex numbers z1 = -V3 +i,z2 = 2 - i,z3 = -V3 – 3i and z4 = 4 + 4i 3.1 Represent the…

A: We have to solve given Questions

Q: Given the complex numbers z1 = -3+i and z2 :1+4i. Show that %3| |z1 22| = |21||2| and arg (z1 22)…

A: |z1|=√(x2+y2) use this formula prove that |z1z2|=|z1||z2|

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Q: Plot the points z = 3+9i and w = 7+5i on a complex plane ană find distance between

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Q: (a) Find in the form of re'", the six complex numbers which satisfy the equation z° +32+ 32( v3 )i =…

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Q: Find the midpoint of the line segment joining the points corresponding to the complex numbers in the…

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Q: - find polar form of the complex number z = (2√3-4i) + (-√3+51)..

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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: Given that z, = [3, 0.7], 2₁ = [2,1.2] and z, = [4,-0.5], (c) (i) find a complex number z = [r, 0]…

A: Given that z1=[3,0.7],z2=[2,01.2] and z3=[4,-0.5] To find :  (c) (i)Find a complex number z=[r,θ]…

Q: p and q are complex numbers such that p| = x + 2, |q| -žx – 1, and |p+q] = 2x + 4 %3D On what…

A: I have provided solution in step2

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Q: 1. If Iz| = 2, then find the locus of complex number (a + bz), where a, be R.

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Q: It is given that z = x+ iy where x and y are real numbers. Find the complex number z such that z+3z…

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Q: Suppose a complex number z satisfies the equation (1+ 2z)³ = eiª (1 – 22)³, for some a E (T, 27).…

A: Given equation is 1+2z3=eiα1-2z3 where α∈π,2π

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A: Given problem:- What are all the cube roots of -1 in the complex plane?   Mutiple choice options:…

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

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