Question
Download Solution PDFABC एक त्रिभुज है, जो B पर समकोणीय है। यदि त्रिभुज के शीर्ष A(k,1,−1), B(2k,0,2) और C(2+2k,k,1) हैं, तो k का मान क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFगणना:
दिया गया है,
बिंदु A(k, 1, -1), B(2k, 0, 2), और C(2 + 2k, k, 1) त्रिभुज के शीर्ष हैं।
सदिश AB और BC इस प्रकार दिए गए हैं:
चूँकि सदिश लंबवत हैं, इसलिए उनका अदिश गुणनफल शून्य होना चाहिए:
इस प्रकार,
∴ k का मान
इसलिए, सही उत्तर विकल्प 4 है।
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