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5. Coordinate geometry
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Q2 of 112 Page 156

Find the slope of the straight line whose angle of inclination is

(i) 30° (ii) 60° (iii) 90°

If θ is the angle of inclination of the line, then the slope of the line is m = tan θ


i) Given that m = tan 30°


⇒


ii) Given that m = tan 60°


⇒ m = √3


iii) Given that m = tan 30°


⇒


∴ The slope is undefined.


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7

Find the area of the triangle formed by joining the midpoints of the sides of a triangle whose vertices are (0, – 1), (2,1) and (0,3). Find the ratio of this area to the area of the given triangle.

1

Find the angle of inclination of the straight line whose slope is

(i) 1 (ii) √3 (iii) 0

3

Find the slope of the straight line passing through the points

(i) (3, –2) and (7, 2) (ii) (2, –4) and origin


(iii) and

4

Find the angle of inclination of the line passing through the points

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Questions · 112
5. Coordinate geometry
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