Question

The point which lies on the perpendicular bisector of the line segment joining the points A(6, 7) and B(8, 3) is

(1) (7, 5)

(2) (7, 4)

(3) (8, 5)

(4) (8, 4)

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Answer 1

Answer:

(1) (7,5)

Explanation:

1. Let the point be C (x,y)
2. If the point lies on the perpendicular bisector of line joining the two points A and B
3. Then,the distance of point C from A and B is equal i.e. AC = BC
4. Using Midpoint Formula
5. C(x,y) = [x1 + x2÷2] , [y1 + y2÷2]
6. C(x,y) = [6+8÷2] , [7+3÷2]
7. C(x,y) = [14÷2] , [10÷2]
8. C (x,y) = [7 , 5]
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