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

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प्रश्न

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

योग

उत्तर

Since, the required line passes through the points A(–3, 0) and B(0, 4).
Equation of the line in two point form is

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

Here, (x1, y1) = (–3, 0) and (x2, y2) = (0, 4)
∴ the equation of the required line is

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

∴ `y/4 = (x + 3)/3`

∴ 4x + 12 = 3y
∴ 4x – 3y + 12 = 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 - Miscellaneous Exercise 5 [पृष्ठ ८०]

APPEARS IN

बालभारती Mathematics and Statistics 1 (Commerce) [English] 11 Standard Maharashtra State Board
अध्याय 5 Locus and Straight Line
Miscellaneous Exercise 5 | Q 13 | पृष्ठ ८०

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