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Let z and ω be two complex numbers such that |z| ≤1, |ω| ≤ 1 and |z + iω| = | z – i | = 2 then z equals (1995S)
  • a)
    1 or i
  • b)
    i or – i
  • c)
    1 or – 1
  • d)
    i or – 1
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Let z and ω be two complex numbers such that |z| ≤1, |ω...
Given that  
⇒ z lies on perpendicular bisector of the line segment joining which is real ax is , being mirror images of  each other..
∴ Im(z) = 0.
If z = x then
∴  (c) is the correct option.
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Let z and ω be two complex numbers such that |z| ≤1, |ω| ≤ 1 and |z + iω| = | z – i | = 2 then z equals (1995S)a)1 or ib)i or – ic)1 or – 1d)i or – 1Correct answer is option 'C'. Can you explain this answer?
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Let z and ω be two complex numbers such that |z| ≤1, |ω| ≤ 1 and |z + iω| = | z – i | = 2 then z equals (1995S)a)1 or ib)i or – ic)1 or – 1d)i or – 1Correct answer is option 'C'. 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 Let z and ω be two complex numbers such that |z| ≤1, |ω| ≤ 1 and |z + iω| = | z – i | = 2 then z equals (1995S)a)1 or ib)i or – ic)1 or – 1d)i or – 1Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let z and ω be two complex numbers such that |z| ≤1, |ω| ≤ 1 and |z + iω| = | z – i | = 2 then z equals (1995S)a)1 or ib)i or – ic)1 or – 1d)i or – 1Correct answer is option 'C'. Can you explain this answer?.
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