Question
Download Solution PDFअतिपरवलय 3y2 - 2x2 = 12 के संचालिका का समीकरण ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
अतिपरवलय का समीकरण,
उत्केंद्रता, e =
संचालिका, x =
अतिपरवलय का समीकरण,
उत्केंद्रता, e =
संचालिका, y =
गणना:
दिया गया अतिपरवलिक समीकरण, 3y2 - 2x2 = 12
⇒
मानक समीकरण के साथ तुलना करने पर, a =
हम जानते हैं कि उत्केंद्रता, e =
⇒ e =
⇒ e =
चूँकि हम जानते हैं कि, संचालिका, y =
∴ संचालिका, y =
⇒ संचालिका, y =
सही विकल्प 4 है।
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