Question
Download Solution PDFएक दीर्घवृत्त पर किसी बिन्दु की नाभीय दूरियों का योगफल अचर है और यह बराबर है
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFव्याख्या:
आकृति और दीर्घवृत्त की संपत्ति से
PM = (a/e) - x
और, SP = e × PM
⇒ SP = e × [(a/e) - x]
⇒ SP = a - ex ----(i)
इसी प्रकार आकृति और . से
PN = (a/e) + x
और, S'P = e × PN
⇒ S'P = e × [(a/e) + x]
⇒ S'P = a + ex ----(ii)
समीकरण (i) और (ii) से हम प्राप्त करते हैं
SP + S'P = a - ex + a + ex
SP + S'P = 2a (दीर्घ अक्ष की लंबाई)
महत्वपूर्ण बिंदु ऊर्ध्वाधर दीर्घवृत्त के मामले में यह लघु अक्ष की लंबाई के बराबर होना चाहिए।
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