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Find the distance of the point A(−2, 3) from the line 12x − 5y − 13 = 0 - Mathematics and Statistics

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प्रश्न

Find the distance of the point A(−2, 3) from the line 12x − 5y − 13 = 0 

योग
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उत्तर

The equation of the line is 12x − 5y − 13 = 0 

∴ distance of the point A(− 2, 3) from this line

= `|(12(-2) + (-5)3 - 13)/sqrt((12)^2 + (5)^2)|`

= `|(-24 - 15 - 13)/sqrt(144 + 25)|`

= `52/13`

= 4 units.

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  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] Standard 11 Maharashtra State Board
अध्याय 5 Straight Line
Exercise 5.4 | Q 12 | पृष्ठ १२२
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