Question
Download Solution PDFएक समानांतर चतुर्भुज PQRS के तीन शीर्ष P(-3, 2, 3), Q(4, 3, -2), R(-5, 1, 0) हैं। तो चौथे शीर्ष S का निर्देशांक ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
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गणना:
माना कि S(x, y, z) आवश्यक बिंदु है। तो विकर्ण QS का मध्यबिंदु
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और PR का मध्यबिंदु निम्न है
(
लेकिन समांनातर चतुर्भुज के विकर्णों के मध्यबिंदु एक-दूसरे से मेल खाते हैं।
∴
इसलिए, x = -12, y = 0, और z = 5
आवश्यक बिंदु S(-12, 0, 5) है।
अतः विकल्प (4) सही है।
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