Question

The perpendicular bisector of a line segment AB passes through the origin. If the
coordinates of A are (4, 0), then find the coordinates of B and the length of AB.​

Answer 1

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Answer 2

Step-by-step explanation:

Given The perpendicular bisector of a line segment AB passes through the origin. If the coordinates of A are (4, 0), then find the coordinates of B and the length of AB.

• Let the coordinate of B be (x,y)
• Given Using section formula we have
•        x = m1x2 + m2x1 / m1 + m2
•      0 = x + 4 / 2, 0 = y + 0 / 2
•      x + 4 = 0, y + 0 = 0
•        x = - 4, y = 0
• So (x,y) = (-4,0)
•     Therefore coordinates of B will be (-4,0)

Reference link will be

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