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

Find distance between point A(–3, 4) and origin O. A) 7 cm B) 10 cm C) 5 cm D) –5 cm

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प्रश्न

Find distance between point A(–3, 4) and origin O.

पर्याय

  • 7 cm

  • 10 cm

  • 5 cm

  • –5cm

MCQ
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उत्तर

5 cm

Explanation:

Let A(x1, y1) = A(–3, 4) and O(x2, y2) = O(0, 0)

Here, x1 = –3, y1 = 4, x2 = 0, y2 = 0

By distance formula,

d(A, O) = `sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2)`

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

= `sqrt(9 + 16)`

= `sqrt(25)`

= 5 cm

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पाठ 5: Co-ordinate Geometry - Exercise

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