since z2 + 4 is a quadratic expression we get a Linear remainder so f(z) = g(z)(z 2 + 4 ) + az + b We have f(2i) = i = 0 + 2ia + b ................................................

ILLUSTRATION - 9. Find the ecentricity of elipse whose equation is |z - 4| + |z - 12/5| = 10 Ans:- Comparing with givem from we get z1 = ae = 4 1st focus z2 = be = 12/5 2nd focus &...

THE nth ROOTS OF UNITY (1) The term is called nth root of unity Let x = be all possible nth roots of kunity so is the equation whose

(2) Second Question : a < 0 , b < 0 then the principal value is arg (z)= is an obtuse angle & positive. (3) a < 0, b < 0 then the principal value is argz =

Introduction Complex number is one of the most important chapter for IIT - JEE. It is assumed to be one of the toughest chapter of syllabus, though it is not. We have discussed this...