if 3, -6 is the midpoint of the line segment joining (0,0) and (x,y) then the point (x,y) is
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The answer is option (C.) (6,-12)
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The required point is (6, - 12).
Step-by-step explanation:
If (a, b) and (c, d) be the coordinates of any two points, then the coordinates of the mid-point joining those points be ( (a + c)/2, (b + d)/2 ).
The line segment is formed by points are (0, 0) and (x, y), whose mid-point is (3, - 6).
Then,
(0 + x)/2 = 3 and (0 + y)/2 = - 6
or, x/2 = 3 or, y/2 = - 6
or, x = 6 or, y = - 12
Therefore the required point is (6, - 12).
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