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The Straight Lines — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsThe Straight Lines2 Marks
Question
What can be said regarding a line if its slope is:
  1. Zero.
  2. Positive.
  3. Negative?
✓

Answer

  1. If the slope $=\tan\theta=0\Rightarrow\theta=0$
When the slope of line is zero then the line is parallel to x axis.
  1. If the slope is positive then $\tan\theta=$ positive $\Rightarrow\theta=$ acute
Thus the line makes an acute angle $\Big(0<\theta<\frac{\pi}{2}\Big)$ with the positive $\text{x}$ axis.
  1. When the slope is negative then $\tan\theta=$ negative $\Rightarrow\theta$ is obtuse
Thus the line makes an abtuse angle $\Big(\theta<\frac{\pi}{2}\Big)$with the positive x axis.

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