Question
Download Solution PDFयदि z = 2i +1 तो \(\rm\left| z + \overline z +1\over z + \overline z -1\right|\) का मान ज्ञात करें, जहां \(\rm \overline z\) सम्मिश्र संख्या z का संयुग्म है।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFअवधारणा:
एक सम्मिश्र संख्या z = x + iy का मापांक निम्न है
|z| = \(\rm \sqrt{x^2+y^2}\)
\(\rm \overline z\) का संयुग्म = x - iy
गणना:
z = 1+ 2i
\(\rm \overline z\)= 1 - 2i
S = \(\rm\left| z + \overline z +1\over z + \overline z -1\right|\)
S = \(\rm\left| 1+2i+1-2i+1\over 1+2i+1-2i -1\right|\)
S = \(\rm\left| 3\over 1\right|\)
S = 3
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