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5. Coordinate geometry
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Q7 of 112 Page 156

The side BC of an equilateral 3ABC is parallel to x–axis. Find the slope of AB and the slope of BC.

Slope of line BC:


The side BC is parallel to x–axis.


Slope of the side BC = 0.


Slope of line AB:


Since, this is an equilateral triangle each angle is 60°


∴ θ = 60°


m = tan θ


= tan 60°


= √3


Hence, the slope of AB is √3 and the slope of BC is 0


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Find the slope of the line which passes through the origin and the midpoint of the line segment joining the points (0, – 4) and (8, 0).

6

The side AB of a square ABCD is parallel to x–axis. Find the

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8

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

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Questions · 112
5. Coordinate geometry
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