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CONCEPT 01 / 05 TOPIC 1 CLASS 10 NOTES
TOPIC 1: CARTESIAN PLANE & DISTANCE FORMULA

📏 Distance Formula Derivation

\( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)

Distance between two points \( A(x_1, y_1) \) and \( B(x_2, y_2) \) derived from Pythagoras Theorem. Distance from origin \( O(0,0) \) is \( OP = \sqrt{x^2 + y^2} \).

X Y
\( A(x_1, y_1) \)
\( B(x_2, y_2) \)
\( |x_2 - x_1| \)
\( |y_2 - y_1| \)
\( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)
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