Find a point which is equidistant from the points A (–5, 4) and B (–1, 6)? How many such points are there?

Home » Find a point which is equidistant from the points A (–5, 4) and B (–1, 6)? How many such points are there?

Find a point which is equidistant from the points A (–5, 4) and B (–1, 6)? How many such points are there?

Solution:

Let P be the point.

Now according to the given question,

P is at equal distance from A (–5, 4) and B (–1, 6)

Then the point P $=\text{ }(({{x}_{1}}+{{x}_{2}})/2,\text{ }({{y}_{1}}+{{y}_{2}})/2)$

$=\text{ }\left( \left( -5-1 \right)/2,\text{ }\left( 6+4 \right)/2 \right)$

$=\text{ }\left( -3\text{ },\text{ }5\text{ } \right)$

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