What is the inclination of a line whose slope isA. zeroB. positiveC. negative?D. not defined?

What is the inclination of a line whose slope isA. zeroB. positiveC. n

1.	What is the inclination of a line whose slope isA. zeroB. positiveC. negative?D. not defined?
Answer» Let `theta` be the inclination of the given line. Then, m=`tan theta` (i) `m=0 Rightarrow tan theta=0` `Rightarrow theta=0^(@)" "[therefore 0^(@) le theta lt 180^(@)]` (ii) `m gt 0 Rightarrow tan theta gt 0` `Rightarrow theta` lies between `0^(@) and 90^(@)` `Rightarrow theta` is acute. (iii) `m lt 0 Rightarrow tan theta lt 0` `Rightarrow theta` lies between `90^(@) and 180^(@)` `Rightarrow theta` is obtuse. We know that a vertical line is the only line whose slope is not defined. And, the inclination of a vertical line is `90^(@)`. Hence, the inclination of a line whose slope is not defined, is `90^(@)`.

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What is the inclination of a line whose slope isA. zeroB. positiveC. negative?D. not defined?

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