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Answer the following question: Find the distance of the origin from the line 12x + 5y + 78 = 0 - Mathematics and Statistics

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प्रश्न

Answer the following question:

Find the distance of the origin from the line 12x + 5y + 78 = 0

योग

उत्तर

Let p be the perpendicular distance of origin from the line 12x + 5y + 78 = 0.

Here, a = 12, b = 5, c = 78

∴ p = `|"c"/sqrt("a"^2 + "b"^2)|`

∴ p = `|78/sqrt(12^2 + 5^2)|`

= `|78/sqrt(144 + 25)|`

= `78/13`

= 6 units

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General Form of Equation of a Line
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 5: Straight Line - Miscellaneous Exercise 5 [पृष्ठ १२५]

APPEARS IN

बालभारती Mathematics and Statistics 1 (Arts and Science) [English] 11 Standard Maharashtra State Board
अध्याय 5 Straight Line
Miscellaneous Exercise 5 | Q II. (10) | पृष्ठ १२५

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