रेखा 3x + 4y = 7 से बिंदु (3, 2) की दूरी क्या है?

  1. इकाई 
  2. 2 इकाई 
  3. 5 इकाई 
  4. √5  इकाई 

Answer (Detailed Solution Below)

Option 2 : 2 इकाई 
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Agniveer Navy SSR Full Test - 01
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Detailed Solution

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संकल्पना:

एक रेखा से बिंदु की लंबवत दूरी:

माना कि एक रेखा Ax + By + C = 0 और एक बिंदु लेते हैं जिसके निर्देशांक (x1, y1) है। 

 

गणना:

दिया गया है: रेखा का समीकरण 3x + 4y = 7 है और बिंदु (3, 2) है। 

हम जानते हैं कि एक रेखा की दूरी को  द्वारा ज्ञात किया गया है,

इसलिए, रेखा 3x + 4y - 7 = 0 से एक बिंदु (3, 2) की दूरी को निम्न द्वारा ज्ञात किया गया है,

= 10/5

= 2 इकाई 

अतः विकल्प (2) सही है। 

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