Question
Download Solution PDFयदि बिंदु (x, y) बिंदु (2a, 0) और (0, 3a) से बराबर दूरी पर है जहां a > 0 है, तो निम्नलिखित में से कौन सा सही है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFअवधारणा:
द्वि-विमीय तल में दो बिंदुओं के बीच की दूरी निम्न द्वारा दी जाती है
गणना:
दिया गया है:
बिंदु (x, y) बिंदुओं (2a, 0) और (0, 3a) से समान दूरी पर है
दोनों पक्षों का वर्ग करने पर, हम प्राप्त करते हैं,
⇒ (2a - x)2 + y2 = x2 + (3a - y)2
⇒ 4a2 + x2 - 4ax + y2 = x2 + 9a2 + y2 - 6ay
⇒ 4a2 - 4ax = 9a2 - 6ay
⇒ 5a2 - 6ay + 4ax = 0
⇒ 5a - 6y + 4x = 0
⇒ 4x - 6y + 5a = 0
∴ 4x - 6y + 5a = 0 सही है।
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