Comprehension

निर्देश: निम्नलिखित प्रश्नों के लिए निम्नलिखित को ध्यान में रखें:

माना L : x + y + z + 4 = 0 = 2x - y - z + 8 एक रेखा है और P : x + 2y + 3z + 1 = 0 एक समतल है। 

L और P का प्रतिच्छेद बिंदु क्या है?

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NDA-II 2024 (Maths) Official Paper (Held On: 01 Sept, 2024)
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  1. (4, 3, -3)
  2. (4, -3, 3)
  3. (-4, -3, -3)
  4. (-4, -3, 3)

Answer (Detailed Solution Below)

Option 4 : (-4, -3, 3)
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व्याख्या:

दिया गया है:

L = x + y + z + 4 = 0 = 2x - y - z + 8 और

P = x + 2y + 3z + 1 = 0 एक समतल है।

L और P के प्रतिच्छेद बिंदु को खोजने के लिए,

बिंदु को रेखा L और समतल P दोनों को संतुष्ट करना चाहिए और विकल्प (d) (-4, -3, 3) रेखा L और समतल P दोनों को संतुष्ट करेगा।

इसलिए विकल्प (d) सही उत्तर है।

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