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Standard X

Mathematics

Distance between Two Points on the Same Coordinate Axes

Point A-4,1 i...

Question

Point A (-4, 1) is in the standard (x,y) coordinate plane. What must be the coordinates of point B so that the line x = 2 is the perpendicular bisector of AB?

(6, 1)

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(-4,-1)

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(-4, 3)

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(8, 1)

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Solution

The correct option is D (8, 1)

Length AF = 4 + 2 = 6 units.

So, BF = 6 units

DB = x

DF + FB = DB = x

2 + 6 = x

x = 8 units

y = 1 unit

So, coordinates of B = (8, 1)

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Point A (-4, 1) is in the standard (x,y) coordinate plane. What must be the coordinates of point B so that the line x = 2 is the perpendicular bisector of AB?

The correct option is D (8, 1) Length AF = 4 + 2 = 6 units. So, BF = 6 units DB = x DF + FB = DB = x 2 + 6 = x x = 8 units y = 1 unit So, coordinates of B = (8, 1)

The correct option is D (8, 1)

Length AF = 4 + 2 = 6 units.

So, BF = 6 units

DB = x

DF + FB = DB = x

2 + 6 = x

x = 8 units

y = 1 unit

So, coordinates of B = (8, 1)