Question
Download Solution PDFयदि e और e' अतिपरवलय और इसके संयुग्म की उत्केंद्रताएँ हैं तो
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFअवधारणा:
अतिपरवलय:
- एक अतिपरवलय का सामान्य समीकरण
है और इसका संयुग्म अतिपरवलय है । - अतिपरवलय
की उत्केंद्रता e को e = (1 से अधिक) द्वारा दिया जाता है।
गणना:
माना कि अतिपरवलय का समीकरण
∴ इसके संयुग्म अतिपरवलय का समीकरण
अब, अतिपरवलय की उत्केंद्रता, e =
⇒ e2 =
साथ ही, संयुग्म अतिपरवलय की उत्केंद्रता e' =
⇒ e'2 =
अंत में,
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