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Question
Point P(0, 2) is the point of intersection of y-axis and perpendicular bisector of line segment joining the points A(–1, 1) and B(3, 3).
Options
True
False
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Solution
This statement is False.
Explanation:
We know that, the points lying on perpendicular bisector of the line segment joining the two points is equidistant from the two points.
i.e., PA should be equals to the PB.
Using distance formula,
d = `sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2`
PA = `sqrt([-4 - (4)]^2 + (6 - 2)^2`
PA = `sqrt((0)^2 + (4)^2` = 4
PB = `sqrt([-4 - 4]^2 + (-6 - 2)^2`
PB = `sqrt(0^2 + (-8)^2` = 8
∵ PA ≠ PB
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Tharunya was thrilled to know that the football tournament is fixed with a monthly timeframe from 20th July to 20th August 2023 and for the first time in the FIFA Women’s World Cup’s history, two nations host in 10 venues. Her father felt that the game can be better understood if the position of players is represented as points on a coordinate plane. |
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[or]
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