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Find the angle between the x-axis and the line joining the points (3, –1) and (4, –2). - Mathematics

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प्रश्न

Find the angle between the x-axis and the line joining the points (3, –1) and (4, –2).

योग

उत्तर

The slope of the line joining the points (3, -1) and (4, -2) is m = `(-2-(-1))/(4 - 3) = -2 + 1 -1`

Now, the inclination (θ ) of the line joining the points (3, –1) and (4, – 2) is given by

tan θ= –1

⇒ θ = (90° + 45°) = 135°

Thus, the angle between the x-axis and the line joining the points (3, –1) and (4, –2) is 135°.

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अध्याय 10: Straight Lines - Exercise 10.1 [पृष्ठ २१२]

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एनसीईआरटी Mathematics [English] Class 11
अध्याय 10 Straight Lines
Exercise 10.1 | Q 10 | पृष्ठ २१२

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