Most Important Selected Qs for JEE AdvancedMathematicsComplex Number
Let ' z ' be a complex number and ' a ' be a real parameter such that z^2+a z+a^2=0 , then
Options
- Alocus of z is a pair of straight lines
- Blocus of z is a circle
- C(z)= 2 3
- D|z|=|a|
Correct answer
D. |z|=|a|
Step-by-step solution
aligned & z^2+a z+a^2=0 & z=a , a ^2 (where ' ' is non real root of unity) & locus of z is a pair of straight lines and (z)= (a)+ ( ) or (a)+ ( ^2 ) & (z)= 2 3 also, |z|=|a|| | or |a| | ^2 | |z|=|a| aligned