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Mathematics

If A is a point on the y-axis whose ordinate is 5 and B is the point (-3, 1), then the length of AB is

  1. 8 units

  2. 5 units

  3. 3 units

  4. 25 units

Coordinate Geometry

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Answer

Since, A is a point on y-axis, so x-coordinate = 0.

A = (0, 5).

B = (-3, 1).

By distance formula,

d=(x2x1)2+(y2y1)2=(30)2+(15)2=(3)2+(4)2=9+16=25=5 units.d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} \\[1em] = \sqrt{(-3 - 0)^2 + (1 - 5)^2} \\[1em] = \sqrt{(-3)^2 + (-4)^2} \\[1em] = \sqrt{9 + 16} \\[1em] = \sqrt{25} \\[1em] = 5 \text{ units}.

Hence, Option 2 is the correct option.

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