COMEDK · Maths · 10. Straight Lines
What can be said regarding a line if its slope is negative?
- A \(\theta\) is an obtuse angle
- B \(\theta\) is equal to zero
- C \(\theta\) is an acute angle
- D Either the line is \(x\) axis or it is parallel to the \(x\) axis
Answer & Solution
Correct Answer
(A) \(\theta\) is an obtuse angle
Step-by-step Solution
Detailed explanation
The slope \(m\) of a line is defined as \(m = \tan \theta\), where \(\theta\) is the angle of inclination of the line with the positive direction of the \(x\)-axis, such that \(0 \le \theta < \pi\). Given that the slope \(m\) is negative, we have \(\tan \theta < 0\). In the…
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