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Find distance between point A(– 3, 4) and origin O - Geometry Mathematics 2

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प्रश्न

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

विकल्प

  • 7 cm

  • 10 cm

  • 5 cm

  • – 5cm

MCQ

उत्तर

5 cm

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)`

∴ d(A, O) = `sqrt([0 - (-3)]^2 + (0- 4)^2)`

∴ d(A, O) = `sqrt(9 + 16)`

∴ d(A, O) = `sqrt(25)`

∴ d(A, O) = 5 cm

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अध्याय 5: Co-ordinate Geometry - Q.1 (A)

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