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Maharashtra State BoardSSC (English Medium) 10th Standard

What is the distance of the point (– 5, 4) from the origin?

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Question

What is the distance of the point (– 5, 4) from the origin?

Options

  • 3 units

  • `sqrt(14)` units

  • `sqrt(31)` units

  • `sqrt(41)` units

MCQ
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Solution

`sqrt(41)` units

Explanation:

Given points are (– 5, 4) and (0, 0).

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

Here, x1 = – 5, y1 = 4, x2 = 0, y2 = 0

∴ Distance = `sqrt((0 - (- 5))^2 + (0 - 4)^2`

= `sqrt(5^2 + 4^2)`

= `sqrt(25 + 16)`

= `sqrt(41)`

Thus, the distance is `sqrt(41)` units.

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