Question
Download Solution PDFComprehension
What is angle θ such that z is purely imaginary ?
where n is an integer
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
If z = x + iy is purely imaginary, then x = 0
Calculation:
Given,
z =
Multiply numerator and denominator by (1 + i sin θ),
Since z is purely imaginary,
⇒
⇒ cos2θ = 0
⇒ θ =
∴ The correct answer is option (2).
Last updated on May 30, 2025
->UPSC has released UPSC NDA 2 Notification on 28th May 2025 announcing the NDA 2 vacancies.
-> A total of 406 vacancies have been announced for NDA 2 Exam 2025.
->The NDA exam date 2025 has been announced for cycle 2. The written examination will be held on 14th September 2025.
-> Earlier, the UPSC NDA 1 Exam Result has been released on the official website.
-> The selection process for the NDA exam includes a Written Exam and SSB Interview.
-> Candidates who get successful selection under UPSC NDA will get a salary range between Rs. 15,600 to Rs. 39,100.
-> Candidates must go through the NDA previous year question paper. Attempting the NDA mock test is also essential.