(1 + i)/(1 - i) এর পরম মান কত?
Solution
Correct Answer: Option B
ধরি,
z = (1 + i)/(1 - i)
= (1 + i)(1 + i)/(1 - i)(1 + i)
= (1 + i)2/{12 - i2}
=(12 + 2.1.i + i2)/{1 - (- 1)}
= (1 + 2i - 1)/(1 + 1)
=2i/2
= i
z = 0 + i
এখানে
x = 0 , y = 1
z এর পরম মান = √{x2 + y2}
= √(12 + 02)
= 1
z = (1 + i)/(1 - i)
= (1 + i)(1 + i)/(1 - i)(1 + i)
= (1 + i)2/{12 - i2}
=(12 + 2.1.i + i2)/{1 - (- 1)}
= (1 + 2i - 1)/(1 + 1)
=2i/2
= i
z = 0 + i
এখানে
x = 0 , y = 1
z এর পরম মান = √{x2 + y2}
= √(12 + 02)
= 1
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