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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

Find the distance between the points O(0, 0) and P(3, 4). - Geometry Mathematics 2

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प्रश्न

Find the distance between the points O(0, 0) and P(3, 4).

बेरीज
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उत्तर

O(0, 0), P(3, 4)

∴   `(x_1, y_1) = (0, 0)`
     `(x_2, y_2) = (3, 4)`

∴ `x_1=0, y_1= 0`
   `x_2 = 3, y_2 = 4`

d(OP) = `sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2`

= `sqrt((3 - 0)^2 + (4 - 0)^2`

= `sqrt((3)^2 + (4)^2)`

= `sqrt(9 + 16)`

= `sqrt(25)`

d(OP) = 5 units

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