Question
Download Solution PDFदीर्घवृत्त \(\rm\frac{x^{2}}{25}+\frac{y^{2}}{49}= 1\) के नाभिलंब की लंबाई क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFअवधारणा:
दीर्घवृत्त का मानक समीकरण, \(\rm\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}= 1\) है
नाभिलंब की लंबाई , L.R = \(\rm\frac{2a^{2}}{b}\) , यदि b > a
गणना:
\(\rm\frac{x^{2}}{25}+\frac{y^{2}}{49}= 1\) ,
मानक समीकरण के साथ तुलना करने पर , a = 5 और b = 7
हम जानते हैं कि, नाभिलंब की लंबाई = \(\rm\frac{2a^{2}}{b}\) है
⇒ L.R = \(\rm\frac{2\times5^{2}}{7}\) = \(\rm\frac{50}{7}\)
सही विकल्प 2 है।
Last updated on Jun 18, 2025
->UPSC has 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.