Complex Numbers(New) Flashcards
what does this represents?
a circle with 2,2 circle and 1 radius
how can we convert it into | Z-Zknot | ?!
what does this represents!?
what does this represent?
how can we convert this into a x,y equation?!
then take tan on both sides and then from the equation
what does belonging to R mean/represents?
a equation or point or line on x axis
what does this represents if theta is 0 or π!?
a straight line
what does this represents if theta is ± π/2 ?!
if +π/2 then its the above semicircle
if -π/2 then its the below semicircle
what does this represents if theta is neither 0/π/π/2?!
it will represent a circle
what should be the approach to these questions?
convert the denominator into 2i by taking a square and then dividing the power by two which makes it easier to judge
what should be the approach for such questions with huge powers?
de moivre’s theorem
where does the nπ lies if n is odd ?!
how to approach this type of questions
convert it in a equation of x,y then normal circle equation properties
what should be the approach in these type of questions where we have a relations between argument!?
assume one as theta and find relation of other in terms of theta and same with modulus and write it in Euler form and then find the expression needed where mostly the variables get canceled out
what should be the approach in these type of questions where we have a relations between argument!?
assume one as theta and find relation of other in terms of theta and same with modulus and write it in Euler form and then find the expression needed where mostly the variables get canceled out
what is the angle between z and iz
90
condition for 3 points to be a equilateral triangle in argand plane?!
