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प्रश्न
Show that the points (1, 3), (2, 1) and `(1/2, 4)` are collinear, by using concept of slope
उत्तर
Let the given points be A(1 , 3), B(2 , 1) and `"C"(1/2, 4)`
Slope Method:
A (1 , 3 ), B (2 , 1 ), `"C"(1/2, 4)`
Slope of AB = `(1 - 3)/(2 - 1)`
= `(-2)/1`
= – 2 .......(1)
Slope of BC = ``(4 - 1)/(1/2 - 2)`
= `3/((1 - 4)/2)`
= `3/((-3)/2)`
= – 2 .......(2)
From equations (1) and (2)
Slope of AB = Slope of BC
∴ The given points A, B, C are collinear.
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