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Maharashtra State BoardSSC (English Medium) 10th Standard

A line makes an angle of 30° with the positive direction of X-axis. So the slope of the line is ______. - Geometry Mathematics 2

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Question

A line makes an angle of 30° with the positive direction of X-axis. So the slope of the line is ______.

Options

  • `1/2`

  • `sqrt3/2`

  • `1/sqrt3`

  • `sqrt3`

MCQ
Fill in the Blanks
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Solution

A line makes an angle of 30° with the positive direction of X-axis. So the slope of the line is `bbunderline(1/sqrt3)`.

Explanation:

The slope of a line which makes an angle θ with the positive direction of the X-axis is m = tan θ.

∴ Slope of the line which makes an angle of 30° with the positive direction of the X-axis is m = tan 30° = `1/sqrt3`.

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Chapter 5: Co-ordinate Geometry - Problem Set 5 [Page 122]

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Balbharati Mathematics 2 [English] Standard 10 Maharashtra State Board
Chapter 5 Co-ordinate Geometry
Problem Set 5 | Q 1.4 | Page 122
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