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The Mid-point of the Line Segment Joining a (- 2 , 0) and B (X , Y) is P (6 , 3). Find the Coordinates of B. - Mathematics

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Question

The mid-point of the line segment joining A (- 2 , 0) and B (x , y) is P (6 , 3). Find the coordinates of B.

Sum

Solution

Coordinates of P are ,

P (6 , 3) = P `((-2 + "x")/2 , (0 + "y")/2)`

`6 = (- 2 + "x")/2 , 3 = "y"/2`

⇒ 12 = - 2 + x , y = 6

⇒ x = 14

Coordinates of B are (14 , 6)

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The Mid-point of a Line Segment (Mid-point Formula)
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Chapter 12: Distance and Section Formulae - Exercise 12.3

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Frank Mathematics - Part 2 [English] Class 10 ICSE
Chapter 12 Distance and Section Formulae
Exercise 12.3 | Q 12
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