বিন্দু (C , 4) এবং উৎসের মধ্যে দূরত্ব 5 একক হলে C -এর মানটি নির্ণয় করুন।

  1. 3
  2. -3
  3. উভয় a এবং b
  4. কোনোটিই নয় 

Answer (Detailed Solution Below)

Option 3 : উভয় a এবং b
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Detailed Solution

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A (x 1 , y 1 ) এবং B (x 2 , y 2 ) এর মধ্যে দূরত্ব হ'ল:

 AB = √((x2 - x1)2 + (y2 - y1)2)

আমরা জানি যে উৎসের স্থানাঙ্কগুলি (0, 0)

(x 1 , y 1 ) হ'ল (C, 4) এবং (x 2 , y 2 ) (0, 0)

⇒ √(C - 0)+ (4 - 0)2 = 5

⇒ (C - 0)2 + (4)2 = 52

⇒ C2 + 16 = 25

⇒ C2 = 9

⇒ C = -3 অথবা 3

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