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Question
Find the distance of a point P(x, y) from the origin.
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Solution 1
Using distance formula
`l(OP) = sqrt((x-0)^2 + (y - 0)^2)`
`l(OP) = sqrt(x^2 -y^2)`
Solution 2
The given point is P(x, y).
The origin is O(0,0)
`PO = sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2) = sqrt((x-0)^2 + (y-0)^2) = sqrt(x^2 + y^2)`
Thus, the distance of point P from the origin is PO = `sqrt(x^2 + y^2)` units
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