मराठी

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).

बेरीज

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
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 5: Locus and Straight Line - Miscellaneous Exercise 5 [पृष्ठ ८०]

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