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5. Coordinate geometry
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Q1 of 112 Page 156

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

(i) 1 (ii) √3 (iii) 0

If θ is the angle of inclination of the line, then the slope of the line is


m = tan θ where 0° ≤ θ ≤ 180°, θ ≠ 90°


i) tan θ = 1


⇒ θ = 45°


ii) tan θ = √3


⇒ θ = 60°


iii) tan θ = 0


⇒ θ = 0°


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6

If the three points (h, 0), (a, b) and (0, k) lie on a straight line, then using the area of the triangle formula, show that where h, k ≠ 0.

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.

2

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

(i) 30° (ii) 60° (iii) 90°

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

Questions · 112
5. Coordinate geometry
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