उस दीर्घवृत्त का समीकरण क्या है जिसके शीर्ष (± 5, 0) पर और केंद्र-बिंदु (± 4, 0) पर हैं?

Answer (Detailed Solution Below)

Option 1 :
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Agniveer Navy SSR Full Test - 01
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संकल्पना:

दीर्घवृत्त का समीकरण:

उत्केंद्रता​ (e) = 

जहाँ, शीर्ष = (± a, 0) और केंद्र-बिंदु = (± ae, 0)

गणना:

यहाँ, दीर्घवृत्त का शीर्ष (± 5, 0) और केंद्र-बिंदु (±4, 0) है। 

इसलिए, a = ±5 ⇒  और 

ae = 4 ⇒ e = 4/5

अब, 4/5 = 

∴ दीर्घवृत्त का समीकरण = 

 अतः विकल्प (1) सही है।  

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