Find the centre and radius of the circle formed by all the points represented by z = x+ iy satisfying the relation = k (k +1), where a andB are the constant z -B complex numbers given by a = C1 + ia2, B = B1 + iß2.

Q: Simplify the complex number (Z^3) * ?and find the Re(z) & Im(z)

A: From De Moivre's Theorem we have,  Let z=rcosθ +isinθis a complex number in polar form. If n is a…

Q: Describe the set of points in the complex plane satisfies Z? + Z2

A: Introduction: The sum of a real and an imaginary number is a complex number. A complex number is…

Q: Q2\ If z = 1 + i, what is z3 + z? + z + 1 as a single complex number?

A: Use the following formulae, to simplify the given expression.…

Q: find all complex-number solutios (x+5)2 = -108

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Q: Ifz₁, Z2, Z3 are complex numbers such that (2/z₁)=(1/z₂)+(1/z3), then show that the points…

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Q: [(5+j3)( 10430°)] 6e^(j12)

A: Given: 5+j310∠30°6ej12 To do: Simplify the given complex number to the standard form.

Q: dius 9 units and center dius 3 units and center

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Q: Find the cube root of Z^3=8i lying in the first quadrant of the complex plan

A: Find the cube root of Z^3=8i lying in the first quadrant of the complex plane.  To find the cubic…

Q: Given the equation 9x^2 + 199 + 100y = 108x-25y^2, it is verified that its center (h, k) and…

A: Given the equation 9x2+199+100y=108x-25y2

Q: Suppose you are climbing a hill whose shape is given by the equation z = 2000 - 0.005x²-0.01y2,…

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Q: Find the distance between the points (−10-10, −14-14) and (−11-11, −8-8)

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Q: Show that x+iy | g+ix / = 1₁ =1, where X +iy and y+ix are complex numbers.

A: Here, let evaluate x+iyy+ix Using the absolute rule ab=|a||b|: =|x+iy||y+ix|

Q: the center and foci of the followin 4x^(2)+8y^(2)-16x+32y+32=0

A: Given,              4x2+8y2-16x+32y+32=0. To find the center and foci of the given equation.

Q: Let the b and c randomly chosen numbers from interval [-A,A]. Determine the probability that the…

A: It is given that  and  are randomly chosen number on the interval The quadratic equation is

Q: Find the indicated roots and graph them in a complex plane URGENT PLEASE

A: First we have to convert given complex number into polar form-

Q: The set of all complex number z in the complex plane satisfying Im(z^2)=2 is a a. straight line b.…

A: The set of all complex numbers z in the complex plane is satisfying

Q: Determine the values of a and b in the relation y=ax^2+bx-42 if the vertex is located at (-4,6).

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Q: Find a complex number so that c^2=i

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Q: Eliminate the arbitrary constant in the equation: a.) x²y = 4+Cy b.) y-x = C1e^x + C2e^-2x c.) y =…

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Q: Find the equation of the cubic that best fits the given points: (-3, 1), (0, -1), (2, 5), (4, 2),…

A: X Y -3 1 0 -1 2 5 4 2 5 0

Q: Find the cube root of Z^3=8i lying in the first quadrant of the complex plane. " i-V3 O 2i+v3 i+2/3…

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