D रेखाखंड AB का मध्यबिंदु है। A और D के निर्देशांक क्रमशः (2, 4) और (-1, 3) हैं। B के निर्देशांक हैं:

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  1. (-4, 2)
  2. (-5, 4)
  3. (4, -5)
  4. (3, 1)

Answer (Detailed Solution Below)

Option 1 : (-4, 2)
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दिया गया है:

A = (2, 4) और D = (-1, 3)

प्रयुक्त सूत्र:

यदि A = (a, b) और B = (c, d) और D रेखा AB का मध्यबिंदु है। 

D = (x, y)

⇒ x = (a + c)/2 और y = (b + d)/2

गणना:

माना कि B का निर्देशांक (x, y) है। 

प्रश्नानुसार,

(2 + x)/2 = - 1

⇒ 2 + x = - 2

⇒ x = - 4

साथ ही,

(4 + y)/2 = 3

⇒ 4 + y = 6

⇒ y = 2

∴ B का निर्देशांक = (-4, 2)

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