Question
Download Solution PDF(1, -1) पर वक्र y2 - 3x3 + 2 = 0 की स्पर्श रेखा की ढलान ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
वक्र y = f(x) के लिए स्पर्श रेखा का ढलान m = \(\rm dy\over dx\) है।
लम्बवत का ढलान = \(\rm -{1\over m}\) = \(\rm -{1\over {dy\over dx}}\)
गणना:
दिया गया है वक्र y2 - 3x3 + 2 = 0
x के संबंध में समीकरण का अवकलन करने पर
⇒ 2y\(\rm dy\over dx\) - 9x2 + 0 = 0
⇒ 2y 
= 9x2
(1, -1) पर ढलान
2(-1) \(\rm dy\over dx\) = 9 (1)
⇒ -2\(\rm dy\over dx\) = 9
⇒ \(\rm dy\over dx\) = -4.5
स्पर्श रेखा का ढलान (m) = \(\rm {dy\over dx}\)
∴ m = -4.5
Last updated on Jun 20, 2025
-> The Indian Navy SSR Agniveeer Merit List has been released on the official website.
-> The Indian Navy Agniveer SSR CBT Exam was conducted from 25th to 26th May 2025.
->The application window was open from 29th March 2025 to 16th April 2025.
-> The Indian Navy SSR Agniveer Application Link is active on the official website of the Indian Navy.
.->Only unmarried males and females can apply for Indian Navy SSR Recruitment 2025.
-> The selection process includes a Computer Based Test, Written Exam, Physical Fitness Test (PFT), and Medical Examination.
->Candidates Qualified in 10+2 with Mathematics & Physics from a recognized Board with a minimum 50% marks in aggregate can apply for the vacancy.
-> With a salary of Rs. 30,000, it is a golden opportunity for defence job seekers.
-> Candidates must go through the Indian Navy SSR Agniveer Previous Year Papers and Agniveer Navy SSR mock tests to practice a variety of questions for the exam.