The co ordinates of the mid point of a line segment are 2 3 If co ordinates of one of the end points...........

Quantitative Aptitude ( CCS) Coordinate Geometry

The co-ordinates of the mid-point of a line segment are (2, 3). If co-ordinates of one of the end points of the line segment are (6, 5), find the co-ordiants of the other end point

(1,2)

(-2,1)

(3,1)

none of these

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Explanation:

Let other the end point be A(x, y)
It is given that C(2, 3) is the mid point
∴ We can write, 2 = (??+6)/2 and 3 =(??+5)/2
or 4 = x + 6 or 6 = y + 5
or x = -2 or y = 1
∴ A (-2, 1) be the co-ordinates of the
other end point