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Plot the points A(1, 1), B(4, 7) and C(4, 10) on a graph paper. Connect A and B and also A and C. Which segment appears to have the steeper slope, AB or AC? - Mathematics

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प्रश्न

Plot the points A(1, 1), B(4, 7) and C(4, 10) on a graph paper. Connect A and B and also A and C.

Which segment appears to have the steeper slope, AB or AC?

Justify your conclusion by calculating the slopes of AB and AC.

योग

उत्तर


From the graph, clearly, AC has steeper slope.

Slope of AB = `(7 - 1)/(4 - 1) = 6/3 = 2`

Slope of AC = `(10 - 1)/(4 - 1) = 9/3 = 3`

The line with greater slope is steeper.

Hence, AC has steeper slope.

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 14: Equation of a Line - Exercise 14 (B) [पृष्ठ १९१]

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सेलिना Mathematics [English] Class 10 ICSE
अध्याय 14 Equation of a Line
Exercise 14 (B) | Q 20 | पृष्ठ १९१

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