The conjugate of complex number z satisf y: Z-Z=2ilmz O z+z=10 z+z=2Rez O

Q: Let z is a complex number and Z is the conjugate number of z then () equals O a. z1 Z2 b. 21 Z2 C. O…

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Q: For the complex numbers • w = 3-5 i • z = -4+7 i Enter exact value of the imaginary part of their…

A: Product of two complex numbers (a+ib)(c+id)=ac-bd+i(ad+bc)

Q: b) Find all complex numbers z such that z= V-7+ 24i

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Q: Consider the complex number z = (1 – i)(-1-iv3). Find |2| and arg(2).

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Q: Let a, b, and c be any three nonzero complex numbers. If |z| = 1 and 'z' satisfies the equation az +…

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Q: b) Write the following complex number in Cartesian, Polar and Exponential for VZ+ Või -1+ v3i

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Let C be the set of complex numbers. Define additionon C by (a+bi) + (c+di) = (a+c) + (b+d)i And…

A: The solution is given below:

Q: Find the product of the complex numbers: z, = -V3+3i and z2 =1+ 2i in polar form.

A: Given:          z1=-3+3i          z2=1+2i         product of complex number =z1×z2…

Q: Find the complex conjugate z¡ of z1 = –7i + 6. Z1 = %3D

A: conjugate of a function means change the sign of i term

Q: Given the complex numbers z, = 2 + j0.51, zz = -0.4- j0.8, and z3 = 3+j3 find; |21Z2 (Z – 23) +…

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Q: Find the complex conjugate z of z1 = -2+ 8i. %3D %3D

A: We have to find the complex conjugate {\displaystyle {\overline {z}}}1 of  z1 = -2 + 8i

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.

Q: Given the complex number o=• V3-i, (a) find the modulus and argument of o (b) in the form a+bi .…

A: Here we find the modulus and argument.

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: (A) Simplify the complex number z and express it both in rectangular and polar form. (3 + j6)(6+ j4)…

A: It can be calculated as given below:_

Q: The conjugate of complex number z satisfy: z-z=2ilmz O z+z=10 - z+z=2Rez O - z-z=00

A: The complex number, z is usually represented as z=x+iy . Here, x is the real part and is represented…

Q: Find the real numbers x and y if (x – iy) (3 + 5i) is the conjugate of –6 – 24i.

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Q: Express the complex number z = 12 cis * in rectangular form a + bi.

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Q: (b) Give an example of a complex number z, other than ±1 or ±i, such that |2| = 1.

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Q: Simplify the complex number z and express it both in rectangular and polar (A) .form (3 + j6)(6+ j4)…

A: Now, we have to simplify the given complex number and express it in rectangular and polar form.  The…

Q: If z and z are conjugate complex numbers, find two complex numbers, z = : = z; and z = z,, that…

A: Note some result about complex number : Suppose z is a complex number then there exist a,b∈ℝ such…

Q: The complex numbers z, and z2 are such that z, = -2 + 2i and zz = -2– 2i. Find (a) arg z1 (b) |z21".

A: we have to find the value of the following

Q: Given a complex number z = 4+ 5i, determine the real and imaginary part of z. %3D Real = Imaginary =

A: Solving the problem by finding the real and imaginary part.

Q: Find the value of z and w in the following simultaneous equations 3z + 6 = -iw 2z – 4 = w + 2i Also…

A: 3z + 6 = -iw 2z - 4 = w + 2i

Q: Z = (1– j)!-2j

A: We have to find the real and imaginary part of the complex number Z=1-j1-2j. So we have to write Z…

Q: (A) Simplify the complex number z and express it both in rectangular and polar form. (3+ j6)(6+ j4)…

A: Given that z=3+j66+j42+j1j2+7+j10 express it In rectangular form and polar form

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

Q: Q3- The complex number is defined as Z = 2 +i and given that Z - 3i + p(Z - 4i) = qZ then p .. and q…

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Q: Find the fourth roots of 2 + v2 i, namely all complex numbers z such that z* = v2 + V2 i

A: The representation of a complex number can be done in two forms, rectangular and polar forms. The…

Q: Given two complex numbers z and w such that z = (1+ i)w + (3 –- i)w, where w is the conjugate of w.…

A: z and w are two complex numbers. Such that

Q: Given the complex numbers z = 2 + j3,zz = -1 - j2,andzg=4+j4 find; Im (高)x+x@zs)+Im(zz+z) (元)

A: Given: Complex numbers are z1=2+j3, z2=-1-j2 and z3=4+j4. To find:…

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|

Q: Find the location of z = -3-4i on the complex plane and find |z|.

A: The given complex number is z=-3-4i Compare with,

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

A: We will be taking the last 4 digits as ABCD. Let z1 = A + Bi and z2 = C + Di be the corresponding…

Q: z=x+i y geometricaly ?

A: Given: a) z¯ b) -z c) 1z To find: The complex number obtained from geometrically.

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

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Q: Draw all eight solutions of z8 = 1 in the complex plane. What is the rectangular form a+ ib of the…

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Q: Q3- The complex number is defined as Z=2+i and given that z- 3i + p(Z" - 4i) = qz then p and q ...

A: Complex number: - A complex number is one that may be represented in the form a + ib, where a, b are…

Q: The remainder of this question concerns the complex numbers z1 = 2 + j4 and z2 = −3 + j4 (a)…

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Q: Express the complex number -2e z =V2e :3T in algebraical form z=x+iy x=-iv2, y = iv2 x =-1, y =1 x…

A: Hence option (c) is correct.

Q: Given the complex numbers z = 2 + j3,zy = -1 - j2, and z3 = 4 + j4 find; Z₁ Z122 Im…

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Q: Consider the complex numbers 6v6 11 + V2 3 11 and + 5 W = - = 2 v2 Write in the form reto |wz|

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Q: The reciprocal of a complex number x+jy is

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Q: The complex number z is given by Z = z²+1 a²-b² 2z a² + b² a+bi a-bi show clearly that

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

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Q: If a is a complex number such that |a| = 1, find arg(a), so that equation az²+z+ 1 = 0 has one…

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Q: For the given complex numbers: Zı = 4 - 2i and Z2 =-1 +3i, find: 2*Zı - Z2 Select one: a. 5- 5i O…

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Q: FIND THE ARG(Z) 0F THE FOUOWING compLEX NUMBERS

A: Solution

Q: Let z be a complex number such that Iz| = 4 and arg(z) = 5T/6, then z = (a) -2v3 + 2i (b) 2v3 + 2i…

A: Recall:    Let z=x+iy be an complex number then             z=r(cosθ +i sinθ)…

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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