Question
Download Solution PDFयदि 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
Answer (Detailed Solution Below)
Option 3 : 10
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UP TGT Hindi FT 1
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Detailed Solution
Download Solution PDFसूत्र:
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
Last updated on May 6, 2025
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