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Show that lines x – 2y – 7 = 0 and 2x − 4y + 15 = 0 are parallel to each other - Mathematics and Statistics

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प्रश्न

Show that lines x – 2y – 7 = 0 and 2x − 4y + 15 = 0 are parallel to each other

योग

उत्तर

Let m1 be the slope of the line x – 2y – 7 = 0.

∴ m1 = `(-"coefficient of x")/"coefficient of y" = (-1)/(-2) = 1/2`

Let m2 be the slope of the line 2x − 4y + 15 = 0 .

∴ m2 = `(-"coefficient of x")/"coefficient of y" = (-2)/(-4) = 1/2`

Since m1 = m2,

the given lines are parallel to each other.

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General Form of Equation of a Line
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 5: Straight Line - Exercise 5.4 [पृष्ठ १२२]

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बालभारती Mathematics and Statistics 1 (Arts and Science) [English] 11 Standard Maharashtra State Board
अध्याय 5 Straight Line
Exercise 5.4 | Q 3 | पृष्ठ १२२

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