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

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

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Q: Let z be a complex number Then the solution(s) of sinhzicoshz31/e is (are) None of these. does not…

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Q: 4.Find all complex numbers of the form z=a+bi, where a and b are real numbers such that zz = 25 and…

A: To find out all the complex numbers for the given condition.

Q: 1-181 Q2- The complex number z satisfies the equation 4Z - 32 %3D 2-1 Then Z =…

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Q: 1. Consider the nonzero complex numbers z1 = 3i, z2 = 6i and z3 = 4i. (a) Evaluate (z,z,z3) (1 + z2…

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Q: Let z be a complex number satisfying 12|z|2 = 2|z+ 2|² + |z² + 1|2 + 31. What is the value of z + °…

A: Given, 12z2=2z+22+z2+12+31 Now solving the given equation as,…

Q: A if z, and z, are complex numbers Z2 Show that ()= Z 22

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Q: Let z be a complex number. Then the solution(s) of sinhz+coshz=1/e is (are) O z=2nti-1 where n is an…

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Q: 1-181 Q2- The complex number z satisfies the equation 4Z - 3Z %3D 2-1 Then

A: TO FIND: Z =

Q: use the picture to find at least one complex number c such that z^7 + 3z^4 + c has exactly 3 zeroes…

A: consider the equation

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

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Q: Given that 2z-iz = 3(3-5/)where z denotes the complex conjugate of z a+ib. The value of a is and and…

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Q: Find the roots of complex numbers √√64 e¹.4i if n=4, k= 0,1,2,3 k=0, z1= k=1,z2= k=2, z3= k=3, z4=

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Q: 1. Consider the nonzero complex numbers z1 = 3i, zz = 6i and z3 = 4i. (ə) Evaluate (2,2,z,) Ei++*)…

A: given Data: z1=3i, z2=7i, z3=7i

Q: 1-18i Q2- The complex number z satisfies the equation 4Z – 3Z* = 2-i Then Z =

A: complex number

Q: 3) The complex conjugate of z is denoted as z. Solve for z in the equation: 27(1– j2) 2 - j3 j 1+ j2…

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Q: 19. The modulus of the complex number 3+i. Is 2-i B. vZ C. 10 A. - 3. D.= - 4 V 3 V3-i 20. If z =,…

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Q: Let z be a complex number. Then the solution(s) of sinhz+coshz=1/e is (are) z=2nti-1 where n is an…

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Q: 4. Let a be a complex number. Show that equation |z – al + |z +a| = 2 %3D admits a complex solution…

A: Given equation is |z-a|+|z+a|=2    (1) since a is complex number. let  z=x+iya=c+id

Q: 6. Find the following complex numbers in the form r+ iy, whe and y are real. (i) (3+7i) + (6 – 10i)…

A: we have to find complex numbers in the form of x + i y  Adding real part with real part and…

Q: 1) If we have the following complex numbers: Z, =2+3i, Z, =3-2i %3D Z, (d) Find (a) Z, + Z2 (b) Z,…

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Q: Let z be a complex number. Then cos(7z)+3i is unbounded in C. * True False

A: From the question image that you have uploaded, only 1 complete question is visible, which is the…

Q: How may the following complex numbers be obtained from z = x + iy geometrically? Sketch. a. (-z) b.…

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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: 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: Given that z = cos + isin and u-iv-(1+z)(1-22). Show that 30 v = utan 2 r = 4² cos² (2). where r is…

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Q: B. Express in the form of a complex number x+iy 1. (2+34)+(-4+5i) 2. (3+ 2i)(3 – 31) 8+4i 3. 1-i

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Q: 1. Consider the nonzero complex numbers z, = 2i, zz = 8i and z; = 7i. (a) Evaluate (z,z,z,) (2) +2,…

A: Introduction: In most cases, the primary value Arg(z) of a complex number z=x+iy is equal…

Q: Given that Z1 and Z2 are complex numbers, show geometrically or otherwise that |Z1| - |Z2| is less…

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Q: Let z be a complex number. Then the solution(s) of sinhz+coshz=1/e is (are) * None of these does not…

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Q: iii) How are the complex numbers z1 and zz related if arg(z1) = arg(z2)? Buildup examples for this…

A: Given: z1,z2 are two complex numbers such that argz1=argz2, To find: The relation between z1 and z2,…

Q: 3) The complex conjugate of z is denoted as z. Solve for z in the equation: 27(1- j2) j 2-j3 1+ j2…

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Q: 13 Jlgull If z,,z, are two complex numbers then:

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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: The polar form of the complex number –3/3 + 3i is 6(cos(150°) + isen(150°)) 6(cos(300°) +…

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Q: z=x+i y geometricaly ?

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

Q: 3. Having two complex numbers z1 & z2, with product z,z2 being real and non-zero, verify if there…

A: Answer is following .

Q: Let z be a complex number. Then the solution(s) of sinhz+coshz-e is (are)* None of these z=nti+1…

A: See solution below

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

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Q: Let z be a complex number. Then the solution(s) of sinhz2+coshz=1/e is (are) * O z=2nni-1 where n is…

A: Solution:

Q: Let z be a complex number. Then the solution(s) of sinhz+coshz=1/e is (are) * O z=2nti-1 where n is…

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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: 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: 1. Consider the nonzero complex numbers ž1 = 7i, 22 = 8i and z3 = 8i. (21 + z2 + z3) (a) Evaluate…

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Q: Let z be a complex number satisfying 12|z|² = 2|z + 2|² + |z² + 1|² + 31. What is the value of z +-?…

A: Given that Let z be a complex number satisfying  12z2=2z+22+z2+12+31 To find the value of z+6z

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

Q: Let z be a complex number. Then the solution(s) of sinhz+coshz=1/e is (are) * Z=-1 does not exist…

A: Given, z be a complex number. we need to find the solution of sinhz+coshz=1e

Q: p and q are complex numbers such that |a| = 4√5 and lp + ql = 9√/2. - On what interval must lp fall…

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Q: Ifz is a complex number, then sin-z can be written as (A)-i In iz+ (1-z) (B)t In [iz + (1 -z)]…

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Q: (a) The complex conjugate of 3 + 4i is 3 + 4i (b) (3 + 4i)(3 + 4i)

A: (a) For a complex number a+ib,  a+ib=a-ib So  3+4i=3-4i