D అనేది ABఅనే రేఖాఖండం యొక్క మధ్య బిందువు. A మరియు D యొక్క కో-ఆర్డినేట్ లు వరుసగా( 2,4) మరియు (-1,3). B యొక్క కో-ఆర్డినేట్లు:

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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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Detailed Solution

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ఇచ్చిన దత్తాంశం:

A = (2, 4) మరియు D = (-1, 3)

ఉపయోగించిన సూత్రం:

If A = (a, b) and B = (c, d) మరియు AB 

D = (x, y)

⇒ x = (a + c)/2 and y = (b + d)/2

లెక్కింపు:

Bయొక్క కో-ఆర్దినేట్లు (x, y)అనుకొనుము

ప్రశ్న ప్రకారం ,

 

(2 + x)2 = - 1

⇒ 2 + x = - 2

⇒ x = - 4

అదేవిధంగా,

(4 + y)/2 = 3

⇒ 4 + y = 6

⇒ y = 2

∴ B యొక్క కో-ఆర్డినేట్లు= (-4, 2)

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