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Find the equation of the line passing through the points A(2, 0) and B(3, 4). - Mathematics and Statistics

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प्रश्न

Find the equation of the line passing through the points A(2, 0) and B(3, 4).

योग
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उत्तर

The required line passes through the points A(2, 0) = (x1, y1) and B(3, 4) = (x2, y2) say.
Equation of the line in two point form is

`(y - y_1)/(y_2 - y_1) = (x - x_1)/(x_2 - x_1)`

∴ the equation of the required line is

`(y - 0)/(4 - 0) = (x - 2)/(3 - 2)`

∴ `y/4 = (x - 2)/1`

∴ y = 4(x – 2)
∴ y = 4x – 8
∴ 4x – y – 8 = 0

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Equations of Lines in Different Forms
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 5: Locus and Straight Line - Exercise 5.3 [पृष्ठ ७३]

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बालभारती Mathematics and Statistics 1 (Commerce) [English] Standard 11 Maharashtra State Board
अध्याय 5 Locus and Straight Line
Exercise 5.3 | Q 4 | पृष्ठ ७३

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