यदि बिन्दुओं z, z + iz और iz के द्वारा सम्मिश्र तल पर बने त्रिभुज का क्षेत्रफल 50 है, तो |z| है

This question was previously asked in
UP TGT Mathematics 2016 Official Paper
View all UP TGT Papers >
  1. 1
  2. 5
  3. 10
  4. 100

Answer (Detailed Solution Below)

Option 3 : 10
Free
UP TGT Hindi FT 1
9.8 K Users
125 Questions 500 Marks 120 Mins

Detailed Solution

Download Solution PDF

सूत्र:

त्रिभुज का क्षेत्रफल = (1/2) × |z|2

गणना:

सम्मिश्र तल पर तीन बिंदु z, z + iz और iz।

सम्मिश्र तल पर बने त्रिभुज का क्षेत्रफल = 50

⇒ 50 = (1/2) × |z|2

⇒ 100 = |z|2

⇒ |z| = 10

Latest UP TGT Updates

Last updated on May 6, 2025

-> The UP TGT Exam for Advt. No. 01/2022 will be held on 21st & 22nd July 2025.

-> The UP TGT Notification (2022) was released for 3539 vacancies.

-> The UP TGT 2025 Notification is expected to be released soon. Over 38000 vacancies are expected to be announced for the recruitment of Teachers in Uttar Pradesh. 

-> Prepare for the exam using UP TGT Previous Year Papers.

More Complex Numbers Questions

Get Free Access Now
Hot Links: teen patti cash game teen patti casino teen patti live teen patti - 3patti cards game