एक बिंदु P(x, y, z) का बिंदुपथ (लोकस) इस प्रकार स्थान परिवर्तित करता है कि z = 7 है, तो बिंदुपथ (लोकस) क्या है?

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NDA 02/2021: Maths Previous Year paper (Held On 14 Nov 2021)
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  1. x-अक्ष के समांतर एक रेखा
  2. y-अक्ष के समांतर एक रेखा
  3. z-अक्ष के समांतर एक रेखा
  4. xy-तल के समांतर एक समतल

Answer (Detailed Solution Below)

Option 4 : xy-तल के समांतर एक समतल
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संकल्पना:

F1 Sachin K 20-1-22 Savita D1

  • XY समतल का समीकरण z = o है
  • YZ समतल का समीकरण x = o है
  • XZ समतल का समीकरण y = o है

 

व्याख्या:

दिया गया है कि,

z = 7

हम जानते हैं कि

z = 0 XY-समतल का प्रतिनिधित्व करता है।

∴ z = 7 XY-समतल के समांतर एक समतल को निरूपित करता है।

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