Mathematics
Grade9
Easy
Question
Find the values of k such that the points (-10,8),(k, k), (-k, -7) are collinear.
- 33 and 70
- 35 and -2
- 16 and -27
- 14 and 3
Hint:
In this question, we have to find the value of k if the points A(-10,8), B(k, k), C(-k, -7) are collinear. Firstly we will calculate the slopes of line AB and AC, as the points are collinear so the slopes of the lines will be equal. So, by equating the slopes of AB and AC we will the required value of the k.
The correct answer is: 35 and -2
Let the co- ordinates of the collinear points are A(-10,8), B(k, k) and C(-k, -7).
So, the slope of AB
Slope of line AC
As the points are collinear
So, the slope of AB = the slope of AC
So, required value of k is 35 and -2.
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