समतल का समीकरण क्या है जो z- अक्ष पर 5 इकाई अंतर्खंड को काटता है और xy-समतल के समानांतर है?

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  1. x + y = 5
  2. z = 5
  3. z = 0
  4. x + y + z = 5

Answer (Detailed Solution Below)

Option 2 : z = 5
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NDA 01/2025: English Subject Test
30 Qs. 120 Marks 30 Mins

Detailed Solution

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संकल्पना:

समतल xy- समतल के समानांतर है, तो x-अंतर्खंड = y-अंतर्खंड = 0

 

गणना:

यहाँ, z- अंतर्खंड = 5, और xy-समतल के समानांतर

∴ समतल का समीकरण: z = 5

इसलिए, विकल्प (2) सही है।

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