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5. Coordinate geometry
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Q8 of 112 Page 156

Using the concept of slope, show that each of the following set of points are collinear.

(4, 4), (–2, 6) and (1, 5)

(4, 4), (–2, 6) and (1, 5)


Let A (4, 4), B (–2, 6) and C (1, 5) be the given points


If the given point is collinear then,


Slope of AB = slope of BC


Slope of line passing through (x1, y1) and (x2, y2) is



Slope of AB:





Slope of BC:






Therefore, the given points are collinear.


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8

Using the concept of slope, show that each of the following set of points are collinear.

(2, 3), (3, –1) and (4, –5)

8

Using the concept of slope, show that each of the following set of points are collinear.

(4, 1), (–2, –3) and (–5, –5)

9

If the points (a, 1), (1, 2) and (0, b + 1) are collinear, then show that .

10

The line joining the points A (–2, 3) and B (a, 5) is parallel to the line joining the points C (0, 5) and D (–2, 1). Find the value of a.

Questions · 112
5. Coordinate geometry
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