Question
Download Solution PDFदो बिंदुओं (-6, y) और (18, 6) के बीच की दूरी 26 इकाई है। Y का मान ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
दो बिंदुओं (-6, y) और (18, 6) के बीच की दूरी 26 इकाई है।
प्रयुक्त सूत्र:
D =
जहाँ,
दो बिंदुओं (x1, y1) और (x2, y2) के बीच की दूरी D इकाई है।
गणना:
दो बिंदुओं के बीच की दूरी = 26 इकाई
पहले निर्देशांक का मान = (x1, y1) = (-6, y)
दूसरे निर्देशांक का मान = (x2, y2) = (18, 6)
प्रश्न के अनुसार,
⇒ D =
⇒ 26 =
समीकरण के दोनों ओर वर्ग करने पर,
⇒ 676 = 242 + (6 - y)2
⇒ 676 = 576 + (6 - y)2
⇒ 100 = (6 - y)2
⇒ 102 = (6 - y)2
समीकरण के दोनों ओर वर्गमूल करने पर,
⇒ 10 = 6 - y
⇒ y = -4
∴ अभीष्ट उत्तर -4 है।
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