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ICSE / ISC eBooks

Chapter - 13

DISTANCE AND SELECTION FORMULA

Let A(x₁ y₁) and B(x₂, y₂) be any two points

AM and BN are perpendicular on OX and AP is perpendicular on BN.

AP = MN = x₂ – x₁

BP = y₂ – y₁

By Pythagoras theorem,

This formula is valid for all points in any quadrant.

If A is (0, 0) and B is (x, y) then