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Coordinate Geometry

Distance formula

The distance between the points P (x1, y1) and Q (x2, y2) is given by

$\mathrm{PQ}=\sqrt{{\left({x}_{2}-{x}_{1}\right)}^{2}+{\left({y}_{2}-{y}_{1}\right)}^{2}}$

Example 1:

Find the values of l, if the distance between the points (–5, 3) and (l, 6) is 5 units.

Solution:

The given points are A (–5, 3) and B (l, 6).

It is given…

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