JEE Main 2026 — Complex Number Question with Solution
JEE Main 2026 (02 April Shift 1)
Question
Let and be real numbers such that , . Then the value of is :
Choose an option
Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
Given the equation:
Rationalizing the denominators inside the parentheses:
Substituting these back into the given equation:
Equating the real and imaginary parts on both sides:
Multiplying the first equation by gives:
Adding this to the second equation:
Substituting into :
Now, finding the value of :
Answer:
Rationalizing the denominators inside the parentheses:
Substituting these back into the given equation:
Equating the real and imaginary parts on both sides:
Multiplying the first equation by gives:
Adding this to the second equation:
Substituting into :
Now, finding the value of :
Answer:
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This is a previous-year question from JEE Main 2026, covering the Complex Number chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.