दीर्घवृत्त 4x2 + 9y2 = 1 की नाभियाँ Q और R पर हैं। यदि P(x, y) दीर्घवृत्त पर कोई बिंदु है, तो PQ + PR किसके बराबर है?

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NDA-II 2024 (Maths) Official Paper (Held On: 01 Sept, 2024)
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  1. 2
  2. 1
  3. 2/3
  4. 1/3

Answer (Detailed Solution Below)

Option 2 : 1
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NDA 01/2025: English Subject Test
30 Qs. 120 Marks 30 Mins

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व्याख्या:

दिया गया है:

4x2 + 9y2 = 1

यहाँ a = 1/2 और b = 1/3

अब

e =

नाभियाँ = (±ae, 0)

= ( ±

= (± )

इस प्रकार, P(x, y) दीर्घवृत्त पर कोई बिंदु है

⇒ PQ + PR = 2a = 2 x 1/2 = 1

∴ विकल्प (b) सही है।

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