Question
Download Solution PDFसमतल का समीकरण क्या होगा, जो बिंदु (2, -3, 4) से होकर जाता है और समतल 2x - 5y - 7z = 6 के समानांतर है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिए गए समतल के समतल समानांतर का समीकरण निम्न है →
2x – 5y – 7z + λ = 0 …i)
समतल (2, -3, 4) से होकर निकलेगा यदि
2 × 2 – 5 × (-3) – 7 × 4 + λ = 0
⇒ 4 + 15 – 28 + λ = 0
⇒ λ = 28 – 19 = 9
λ = 9 के मान को समीकरण i में रखने पर) हमें प्राप्त होता है →
2x – 5y – 7z + 9 = 0
Last updated on Jul 16, 2025
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