Question
Download Solution PDFयदि बिंदु (3, 4) और (a, 2) के बीच की दूरी 8 इकाई है, तो a का मान ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
माना कि A (x1, y1) और B (x2, y2), XY - तल में दो बिंदु हैं, तो A और B के बीच की दूरी को निम्न द्वारा ज्ञात किया गया है:
गणना:
दिया गया है: बिंदु (3, 4) और (a, 2) के बीच की दूरी 8 इकाई है।
यहाँ, हमें a का मान ज्ञात करना है।
चूँकि हम जानते हैं कि, दो बिंदु A (x1, y1) और B (x2, y2) के बीच की दूरी को
⇒
दोनों पक्षों का वर्ग करने पर हमें निम्न प्राप्त होता है
⇒ (a - 3)2 + 4 = 64
⇒ a2 + 9 - 6a - 60 = 0
⇒ a2 - 6a - 51 = 0
⇒
अतः विकल्प A सही उत्तर है।
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