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Find the real numbers x and y such that : (x + iy)(3 + 2i) = 1 + i
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Find the real numbers x and y such that : (x + iy)(3 + 2i) = 1 + ia)b)...
(x + iy)(3 + 2i) = (1 + i)
x + iy = (1 + i)/(3 + 2i)
x + iy = [(1 + i) * (3 - 2i)] / [(3 + 2i)*(3 - 2i)]
x + iy = (3 + 3i - 2i + 2) / [(3)2 + (2)2]
x + iy = (5 + i)/[ 9 + 4]
= (5 + i) / 13
=> 13x + 13iy = 5+i
13x = 5         13y = 1
x = 5/13         y = 1/13
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Find the real numbers x and y such that : (x + iy)(3 + 2i) = 1 + ia)b)c)d)Correct answer is option 'A'. Can you explain this answer?
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Find the real numbers x and y such that : (x + iy)(3 + 2i) = 1 + ia)b)c)d)Correct answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Find the real numbers x and y such that : (x + iy)(3 + 2i) = 1 + ia)b)c)d)Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the real numbers x and y such that : (x + iy)(3 + 2i) = 1 + ia)b)c)d)Correct answer is option 'A'. Can you explain this answer?.
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