Question
Download Solution PDFy-अक्ष को मूल-बिन्दु पर स्पर्श करने वाले वृत्त-निकाय का अवकल समीकरण है
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFगणना:
जैसा कि हम जानते हैं कि मूल पर y- अक्ष को स्पर्श करनेवाले वृत्त का केंद्र x - अक्ष पर होता है।
तो मूल पर y - अक्ष को स्पर्श करनेवाले वृत्त का समीकरण है: (x - a)2 + y2 = a2
⇒ x2 + y2 – 2ax = 0 ---(1)
इसलिए उपरोक्त समीकरण को x के संबंध में अवकलित करके, हम प्राप्त करते हैं
तो, समीकरण (1) में 2a के मूल्य को प्रतिस्थापित करके, हम प्राप्त करते हैं
⇒ x2 + y2 -
⇒
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