Question
Download Solution PDFयदि परवलय में केंद्र बिंदु (5, 0) है और शीर्ष (3, 0) है, तो इसका समीकरण ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
y - अक्ष के चारों ओर सममित एक परवलय के लिए
\(\rm (y-k)^2 = 4a(x-h)\)
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
\(\rm (y-k)^2 = 4a(x-h)\)
⇒ \(\rm (y-0)^2 = 4\times2(x-3)\)
⇒ \(\boldsymbol{\rm y^2 = 8x-24}\)
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