समानांतर रेखा 3y + 4x - 12 = 0 और 3y + 4x - 7 = 0 के बीच की दूरी ज्ञात कीजिए। 

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

Answer (Detailed Solution Below)

Option 1 : 1
Free
NDA 01/2025: English Subject Test
30 Qs. 120 Marks 30 Mins

Detailed Solution

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संकल्पना:

समानांतर रेखा ax + by + c1 और ax + by + c2 के बीच की दूरी को निम्न द्वारा ज्ञात किया गया है:

D = 

 

गणना:

दी गयी 2 रेखाएं निम्न हैं:

3y + 4x - 12 = 0

3y + 4x - 7 = 0

a = 4, b = 3, c1 = -12 और c2 = -7

∴ रेखाओं के बीच की दूरी

D = 

⇒ D = 

⇒ D = 1

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