समानांतर तल 3x + y + 3z = 8 और 9x + 3y + 9z = 15 के बीच की दूरी क्या है?

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Option 3 :
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NDA 01/2025: English Subject Test
30 Qs. 120 Marks 30 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:

यहाँ, 3x + y + 3z = 8 और 9x + 3y + 9z = 15 

 9x + 3y + 9z = 15 को 3 से विभाजित करने पर हमें निम्न प्राप्त होता है

अब, 3x + y + 3z = 8 और 3x + y + 3z = 5 के बीच की दूरी 

अतः विकल्प (3) सही है। 

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