समानांतर तल 9x + 5y - 3z + 8 = 0 और 18x + 10y - 6z + 28 = 0 के बीच की दूरी क्या है?

  1.  इकाई 
  2.  इकाई 
  3.  इकाई
  4.  इकाई

Answer (Detailed Solution Below)

Option 4 :  इकाई
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Electric charges and coulomb's law (Basic)
10 Qs. 10 Marks 10 Mins

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संकल्पना:

दो समानांतर तल ax + by + cz + d1 = 0 और ax + by + cz + d2 = 0 के बीच की दूरी  है। 

 

गणना:

दिया गया है: 9x + 5y - 3z + 8 = 0 और 18x + 10y - 6z + 28 = 0 

अब, 18x + 10y - 6z + 28 = 0 को 9x + 5y - 3z + 14 = 0 ........के रूप में लिखा जा सकता है (2 से विभाजित करने पर)

∴ 9x + 5y - 3z + 8 = 0 और 9x + 5y - 3z + 14 = 0 के बीच की दूरी को निम्न द्वारा ज्ञात किया गया है,

 इकाई 

अतः विकल्प (4) सही है।    

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