यदि परवलय में केंद्र बिंदु (5, 0) है और शीर्ष (3, 0) है, तो इसका समीकरण ज्ञात कीजिए। 

  1. y2 = 4x - 4
  2. y2 = 8x + 4
  3. y2 = 8x - 24
  4. y2 = 4x + 12

Answer (Detailed Solution Below)

Option 3 : y2 = 8x - 24
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Detailed Solution

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संकल्पना:

y - अक्ष के चारों ओर सममित एक परवलय के लिए 

जहाँ शीर्ष (h, k) है और केंद्र बिंदु (h + a, k) है। 

गणना:

दिया गया शीर्ष (3, 0) है। 

h = 3, k = 0 

केंद्र-बिंदु के लिए = (5, 0)

h + a = 5

⇒ 3 + a = 5 

⇒ a = 2

अतः परवलय का समीकरण

⇒ 

⇒ 

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