Search for: If z2+iz1=z1+z2 and z1=3 and z2=4, then the area of △ABC, if affixes of A, B, and C are z1, z2, and [(z2 – iz1)/(1 – i)] respectively, is If z2+iz1=z1+z2 and z1=3 and z2=4, then the area of △ABC, if affixes of A, B, and C are z1, z2, and [(z2 - iz1)/(1 - i)] respectively, is A52B0C252D254 Fill Out the Form for Expert Academic Guidance!l Grade ---Class 1Class 2Class 3Class 4Class 5Class 6Class 7Class 8Class 9Class 10Class 11Class 12 Target Exam JEENEETCBSE +91 Preferred time slot for the call ---9 am10 am11 am12 pm1 pm2 pm3 pm4 pm5 pm6 pm7 pm8pm9 pm10pm Please indicate your interest Live ClassesBooksTest SeriesSelf Learning Language ---EnglishHindiMarathiTamilTeluguMalayalam Are you a Sri Chaitanya student? NoYes Verify OTP Code (required) I agree to the terms and conditions and privacy policy. Solution:z2+iz1=z1+z2=iz1+z2⇒iz1,0+i0 and z2 are collinear ⇒ argiz1=argz2⇒ argz2−argz1=π2Let z3=z2−iz11−ior (1−i)z3=z2−iz1or z2−z3=iz1−z3∴ ∠ACB=π2and z1−z3=z2−z3⇒ AC=BC∵ AB2=AC2+BC2⇒ AC=52 (∵AB=5)Therefore, area of △ABC is (1/2)AC×BC=AC2/2=25/4 sq. units Related content MCQ Questions for Class 9 Hindi with Answers Kshitij, Kritika, Sparsh, Sanchayan Bhag 1 CBSE Class 7 English Honeycomb Chapter 1 Three Questions MCQ Questions with Answers CBSE Class 9 English Beehive Book Poem 1 The Road Not Taken MCQ Questions with Answers MCQs Questions with Answers for Class 9 English Chapter 1 The Fun They Had CBSE Class 9 Tissue MCQs Female Reproductive System Diagram Class 10 NCERT Solutions for Class 11 English Reading Skills Chapter 1 The Portrait of a Lady 50+ Simple GK Questions and Answers for Class 8 Animal Cell Diagram Class 9 Preparation Strategy for NEET Repeaters