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Find the inclination of the line whose s...

Find the inclination of the line whose slope is:
`sqrt(3)`

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To find the inclination of the line whose slope is \( \sqrt{3} \), we can follow these steps: ### Step 1: Understand the relationship between slope and inclination The slope \( m \) of a line is related to its angle of inclination \( \theta \) by the formula: \[ m = \tan(\theta) \] ### Step 2: Set up the equation Given that the slope \( m \) is \( \sqrt{3} \), we can write: \[ \tan(\theta) = \sqrt{3} \] ### Step 3: Identify the angle We need to find the angle \( \theta \) such that: \[ \tan(\theta) = \sqrt{3} \] From trigonometric values, we know that: \[ \tan(60^\circ) = \sqrt{3} \] ### Step 4: Conclude the result Thus, we can conclude that: \[ \theta = 60^\circ \] ### Final Answer The inclination of the line is \( 60^\circ \). ---
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ICSE-CO-ORDINATE GEOMETRY-EXERCISE 26(C)
  1. Write the slope of the line whose inclination is: 0^@

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  2. Find the inclination of the line whose slope is: 1

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  3. Find the inclination of the line whose slope is: sqrt(3)

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  4. Find the inclination of the line whose slope is: 1/(sqrt(3))

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  5. Write the slope of the line which is: parallel to x-axis

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  6. Write the slope of the line which is: perpendicular to x-axis

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  7. Write the inclination of a line which is: parallel to y-axis

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  8. Write the slope of the line which is: perpendicular to y-axis

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  9. For each of the following given below, find th slope and the y-interce...

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  10. For each of the following given below, find th slope and the y-interce...

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  11. For each of the following given below, find th slope and the y-interce...

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  12. For each of the following given below, find th slope and the y-interce...

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  13. For each of the following given below, find the slope and the y-interc...

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  14. For each of the following given below, find the slope and the y-interc...

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  15. For each of the following given below, find the slope and the y-interc...

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  16. Find the equation of the line whose: slope =2 and y-intercept=3

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  17. Find the equation of the line, whose: Slope =5 and y intercept =-8

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  18. Find the equation of the line, whose: Slope =-4 and y intercept =2

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  19. Find the equation of the line whose: slope =-3 and y-intercept =-1

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  20. Find the equation of the line, whose: Slope =0 and y intercept =-5

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