जहाँ  किसके बराबर है?

This question was previously asked in
NDA (Held On: 19 Apr 2015) Maths Previous Year paper
View all NDA Papers >
  1. 1
  2. i
  3. -1
  4. -i

Answer (Detailed Solution Below)

Option 2 : i
Free
UPSC NDA 01/2025 General Ability Full (GAT) Full Mock Test
150 Qs. 600 Marks 150 Mins

Detailed Solution

Download Solution PDF

धारणा:

1. सम्मिश्र संख्याओं पर यूलर का सूत्र:

  • eix = cos x + i sin x
  • e-ix = cos x - i sin x


2. त्रिकोणमिति सूत्र:

  • 1 – cos θ = 2 sin2 (θ/2)
  • sin θ = 2 sin (θ/2) cos (θ/2


गणना:

हमें का मूल्य खोजना होगा

                          (∵eix = cos x + i sin x और e-ix = cos x - i sin x)

= cos (π/2) + i sin (π/2) = 0 + i = i

Latest NDA Updates

Last updated on Jul 8, 2025

->UPSC NDA Application Correction Window is open from 7th July to 9th July 2025.

->UPSC had extended the UPSC NDA 2 Registration Date till 20th June 2025.

-> A total of 406 vacancies have been announced for NDA 2 Exam 2025.

->The NDA exam date 2025 has been announced. The written examination will be held on 14th September 2025.

-> 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. 

More Complex Numbers Questions

Hot Links: teen patti game paisa wala teen patti master gold download teen patti 3a teen patti master apk