(b) Show that i0 is real, even though i or 6i is not.

Q: (b) Show that i10 is real, even though i or 10i is not.

A:

Q: Determine the argument and the modulus of the given complex (-2-4i)(5i) number: (3+8i)

A:

Q: Find real numbers a and b such that the equation is true. a + bi = 9 + 8i

A: A complex number is a number of the form a+bi where a,b are both real numbers. In this form the…

Q: (b) Show that i³i is real, even though i or 3i is not.

A:

Q: Find (5i – 5)/(1 – 2i) in real-imaginary form.

A: The complex numbers are imaginary numbers. They are not considered a real number. The imaginary…

Q: Reduce the quality 5i to (1-i)(2-i)(3-i) real number.

A: Now we reduce the quality  5i(1-i)(2-i)(3-i) to real number.   5i(1-i)(2-i)(3-i)…

Q: Determine the absolute value of the complex number z = -1 - 2i.

A:

Q: Write the complex number in polar form with argument 0 between 0 ánd 27. 7/3- 7i

A: Given complex number z=73-i 7 We can represent complex number z=x+iy into polar co-ordinates rcos…

Q: Find the conjugate of – 3i ( 2 + 5i ).

A: Solution

Q: Give the conjugate of 14i

A: Topic - complex number

Q: Simplify the expression -i+ (7+ 8i) 2i(-6+2i) + - 1-i to the form a + y · i where a and y are real…

A: The given expression 2i-6+2i+-i+7+8i¯¯1-i. Simplify the expression 2i-6+2i+-i+7+8i¯¯1-i in standard…

Q: A complex numbers is a symbol x + jy, where x and y are = -1. numbers and i^2 rational O real O…

A:

Q: Find real numbers a and b such that the equation is true.a + bi = 10 − 5i

A: A number of the form a+ib is known as the complex number. Here i  is known as the imaginary unit. A…

Q: Q4a. Evaluate the complex number e2+3i In(2+i) 3+4i

A:

Q: Which of the following is the standard form for the product of (2 + 3i)(2 3i)?

A:

Q: Express 3-i/2+3i  in the form a + bi

A: Rationalise i^2=-1

Q: ii) How would you describe geometrically the relationship between a nonzero complex number z = a +…

A: Given: Describe geometrically the relationship between z=a+ib anda. −zb. z−1

Q: of the complex number: (27V3 27 3

A:

Q: Show that x = 2 +3i is a solution to the equation x2 - 4x + 13 = 0.

A:

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

A: To find Z1+Z2

Q: the argument of the Complex number: Z= ¹+√ √B-j

A:

Q: Find x and y so that the following -2-7i =x+ yi equation is true:

A: Given -2-7i=x+yi

Q: Find (1 – 3i)(2 – 2 i) in real-imaginary form.

A:

Q: Express the following in the form a + bi, where a and b are real numbers: 60i-11

A: Introduction: Like a real number, the square roots of a complex number can also be determined. A…

Q: The conjugate of -4 -3i is............

A:

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

A:

Q: Represent the complex number geometrically.4(-1 + 2i)

A: 4-1+2i

Q: 3. Graphically Subtract (-1+i) from (3+2i)

A: If we have to subtract a vector b from another vector a, graphically, then we actually are adding…

Q: Write the complex number z=(1-√3i)2015/(√2cis(7π/6))4028 in an exponential form.

A: cis(x) = cos(x)+isin(x)

Q: Find real numbers a and b such that equation is true.  a+bi=7+2i a= b=

A: Here we need to use equality of two complex Numbers  Real parts are equal  and imaginary parts also…

Q: (b) Show that it is real, even though i or 8i is not.

A:

Q: Simplify the expression to a + bi form: (1+ 7i) + (4 – 10i) -

A: The given expression is 1+7i+4-10i.

Q: 4. Find x and y so that the 1ollowing equation -2-7i =x+ yi is true:

A:

Q: Simplify: i29 + i²1 + i2050 in form a + bi.

A:

Q: Express in the form , where a and b are a+bi real numbers.

A: To express the given expression in the form of (a+bi),where,(a,b∈R). (4+2i)(-5+4i) Solution:…

Q: Visualize the multiplication of (2 + i)( – 2 – 3i) by plotting the initial point, and the result.…

A: Given,           2+i-2-3i

Q: For the given number: Z = 4 – 2i find conjugate

A:

Q: Express in the form a + ib where a and b are real numbers. V1 - 2i

A: We will find out the required value.

Q: (a) Simplify i*+1 in real and imaginary parts.

A: As there are two questions given ,i only do the first.

Q: What is the real part of the complex number z= -1 + √3i/2

A: Compare with complex number

Q: The conjugate of 2 - 9i is________.

A: Given complex number z - z = 2-9i                       ....................(1)Concept - If a…

Q: Find the argument of the complex number 3 + 17i 4 4. 47

A: Given complex number is- 3+17i We need to find argument of the given complex number. For any complex…

Q: What is the argument of the complex number z= 1?

A:

Q: ;5i (b) Show that ¿" is real, even though i or 5i is not.

A: We have i5i Now, we can write ab=elnab Also, lnab=blna , therefore: ab=elnab=eb lna So, using ab=eb…

Q: For the given complex numbers: Z1 = 4 - 2i and Z2 = -1 +3i, find: Z1 - 2*Z2 Select one: O a. 5- 5i…

A: Given complex numbers are Z1=4-2ι and Z2=-1+3ι. We have  to calculate Z1-2Z2. We know that a complex…

Q: For the complex number z =2ej(-125)° what is Im{z}?

A:

Q: (b) Show that ii is real, even though i or 5i is not.

A:

Q: find w., of ((1+ 2i) + (3 – 4i)) 7

A: Given that, 1+2i+3-4i12

Q: c) By using De Moivre's theorem, find (3/5 – 3i) in the standard form.

A: To find complex no. in standard form using De Moivre's theorem .