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Questions  

 A line is passing through the points (1,3) and (5,7), then its inclination is 

a
45°
b
30°
c
60°
d
90°

detailed solution

Correct option is A

The angle made by the line with  x- axis in the positive direction is called inclination of the line. If θ0∘≤θ<180∘ be the inclination of a line then the slope of the line is m=tan⁡θ The slope of the line joining two points x1,y1 and x2,y2 is m=y2−y1x2−x1Therefore, tanθ=y2−y1x2−x1=7−35−1=44=1 It implies that θ=45∘

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A straight line is such that its distance of 5 units from the origin and its inclination is 1350. The intercepts of the line on the co-ordinate axes are


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