Question
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निर्देश: निम्नलिखित प्रश्नों के लिए निम्नलिखित को ध्यान में रखें:
माना S दो समतलों x + y + z = 1 और 2x + 3y - 4z = 8 का प्रतिच्छेदन रेखा है।
यदि 〈l, m, n〉 S के दिक् कोसाइन हैं, तो 43 (l2 - m2 - n2) का मान क्या है?
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Detailed Solution
Download Solution PDFव्याख्या:
हम जानते हैं: दिक् अनुपात (-7, 6, 1) हैं।
⇒S के दिक् अनुपात l = \(\frac{-7}{\sqrt86}\)
m = \(\frac{6}{\sqrt86 }, n =\frac{1}{\sqrt86}\)
इस प्रकार, 43 (l 2 -m2 -n2 ) = 43 \((\frac{49}{86}- \frac{36}{86} - \frac{1}{86})\)
= 43 x 12/86 = 6
∴ विकल्प (a) सही है।
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