Prove that the cross ratio of four complex numbers z1, z2, z3, z4 is real if...

60.1K

Verified Solution

Question

Advance Math

Prove that the cross ratio of four complex numbers z1, z2, z3,z4 is real if and only if the points z1, z2, z3, z4 lie on a lineor a circle. Then, compute the cross ratio of 1+? 3, 1?3i, ?1 ? iand 1 + i and determine whether they lie on a line, a circle, orneither.

Answer & Explanation Solved by verified expert
3.9 Ratings (592 Votes)
    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students