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Using the Method of Slope, Show that the Following Point is Collinear A (4, 8), B (5, 12), C (9, 28).

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प्रश्न

Using the method of slope, show that the following points are collinear A (4, 8), B (5, 12), C (9, 28).

संक्षेप में उत्तर
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उत्तर

 A (4, 8), B (5, 12), C (9, 28)

Slope of AB = \[\frac{y_2 - y_1}{x_2 - x_1} = \frac{12 - 8}{5 - 4} = \frac{4}{1} = 4\]

Slope of BC =

\[\frac{y_2 - y_1}{x_2 - x_1} = \frac{28 - 12}{9 - 5} = \frac{16}{4} = 4\]

Since, Slope of AB = Slope of BC = 4
Therefore, the given points are collinear.

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अध्याय 23: The straight lines - Exercise 23.1 [पृष्ठ १३]

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आर.डी. शर्मा Mathematics [English] Class 11
अध्याय 23 The straight lines
Exercise 23.1 | Q 5.1 | पृष्ठ १३

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