The complex numbers z1 and z2 are connected by the relation 1 21 = 22 + -. 22 If the point representing z2 in the Argand diagram describes a circle of radius a and centre at the origin, show that the point representing zi describes the ellipse y? (1+a²)² ™ (1 – a²)² 1 a2

Q: 7. Fill in the blanks: a) The axis of symmetry of the parabola y = -2(x- 3)?– 1 is_ b) When the…

A: Given query is to find indicated points for parabola.

Q: Consider these four points on the unit circle in the complex plane: 1, i, -1, -i. Make a single plot…

A:

Q: 2) Plot, label, and express in both Cartesian and polar form the following complex number: Z=…

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Q: Let = 5√2-5√/2i 8 Write z in polar form. Then find z24 and write it in the form x + yi. Draw the…

A: Polar form of any complex number z=x+iy z=r cosθ+i sinθ Where r=x2+y2   and    θ=tan-1yx

Q: Question 2.3b. Let Z1 2 1+i Find the imaginary part of z1 - Z2. C -2 2 3 O -2 2 and 22 = 1; : 3

A: In this question , we will find the imaginary part of z1 - z2 .

Q: Determine the three cubic roots of the complex number (−10 + j6)5 in both polar and Cartesian forms,…

A: given a complex number  say w=-10+6j5 now ,  -102+62=100+36                    =136…

Q: Graph the following hegians in the complex plane? | 2-1|=12+1/

A: Given region: We have to graph the given region in the complex plane.