If z= 1- 2i then real part of z is

1.	If z= 1- 2i then real part of z is
Answer» <html><body><p>We know that <a href="https://interviewquestions.tuteehub.com/tag/z-750254" style="font-weight:bold;" target="_blank" title="Click to know more about Z">Z</a>=x+iy⇒∣z−1+2i∣=∣z+1−2i∣, locus of x=?⇒∣x+iy−1+2i∣=∣x+iy+1−2i∣⇒∣(x−1)+i(y+2)∣=∣(x+1)+i(y−2)∣⇒ (x−1) 2 +(y+2) 2 = (x+1) 2 +(y−2) 2 ⇒x 2 −2x+1+y 2 +4y+4=x 2 +2x+1+y 2 −4y+4⇒−2x+4y+5=2x−4y+5⇒4x=8y⇒x=2y∴x−2y=0∴ The locus of z is a straight <a href="https://interviewquestions.tuteehub.com/tag/line-1074199" style="font-weight:bold;" target="_blank" title="Click to know more about LINE">LINE</a>. <a href="https://interviewquestions.tuteehub.com/tag/hence-484344" style="font-weight:bold;" target="_blank" title="Click to know more about HENCE">HENCE</a>, the answer straight line.</p></body></html>

Discussion