समतल 2x + y + z = 7 और x - y + 2z = 9 के बीच का कोण क्या है?

  1. 60°
  2. 120°
  3. 90°
  4. 30°

Answer (Detailed Solution Below)

Option 1 : 60°
Free
UPSC NDA 01/2025 General Ability Full (GAT) Full Mock Test
150 Qs. 600 Marks 150 Mins

Detailed Solution

Download Solution PDF

संकल्पना:

दो समतलों a1x + b1y + c1z = d1 और a2x + b2y + c2z = d2 के बीच न्यून कोण θ निम्न सूत्र द्वारा दिया गया है:

 

गणना:

दिया गया: 2x + y + z = 7 और x - y + 2z = 9।

इसका मतलब,

a1 = 2, b1 = 1, c1 = 1 और a2 = 1, b2 = - 1, c2 = 2

खोजने के लिए: समतलों के बीच का कोण

कोण θ के लिए उपरोक्त सूत्र का उपयोग करके:

⇒ θ = 60°

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 Angle with Planes Questions

More Three Dimensional Geometry Questions

Hot Links: teen patti gold apk teen patti real cash withdrawal teen patti 3a teen patti bodhi yono teen patti