The mid-point of segment AB is the point P (0, 4). If the Coordinates of B are (-2, 3) then the coordinates of A are

(2, 5)

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(-2.-5)

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(2, 9)

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(-2, 11)

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Solution

The correct option is A
(2, 5)

Let the coordinates of point A be ( X, Y).

It is given that P (0, 4) is the mid-point of AB.
$∴ (0, 4) = (\frac{x - 2}{2}, \frac{y + 3}{2})$
$\Rightarrow \frac{x - 2}{2} = 0 a n d \frac{y + 3}{2} = 4$
$\Rightarrow x - 2 = 0 a n d y + 3 = 8$
$\Rightarrow x = 2 a n d y = 5$

Thus, the coordinates ofoint A are (2, 5).

The correct answer is A.

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