Advertisements
Advertisements
Question
The midpoint of segment AB is P(0, 4). If the coordinates of B are (–2, 3) then the coordinates of A are ______.
Options
(2, 5)
(–2, –5)
(2, 9)
(–2, 11)
MCQ
Fill in the Blanks
Advertisements
Solution
The midpoint of segment AB is P(0, 4). If the coordinates of B are (–2, 3) then the coordinates of A are (2, 5).
Explanation:
Let A = (x, y).
Midpoint formula gives `((x + (-2))/2, (y + 3)/2) = (0, 4)`.
So, `(x - 2)/2 = 0`
⇒ x = 2
And `(y + 3)/2 = 4`
⇒ y + 3 = 8
⇒ y = 5
Hence, A = (2, 5).
shaalaa.com
Is there an error in this question or solution?
