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Select the correct option from the given alternatives: Distance between the two parallel lines y = 2x + 7 and y = 2x + 5 is - Mathematics and Statistics

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प्रश्न

Select the correct option from the given alternatives:

Distance between the two parallel lines y = 2x + 7 and y = 2x + 5 is

पर्याय

  • `sqrt(2)/sqrt(5)`

  • `1/sqrt(5)`

  • `sqrt(5)/2`

  • `2/sqrt(5)`

MCQ

उत्तर

`2/sqrt(5)`

Explanation;

Here, c1 = 7, c2 = 5, a = 2 and b = – 1

Distance between parallel lines = `|("c"_1 - "c"_2)/sqrt("a"^2 + "b"^2)|`

= `|7 - 5|/sqrt(2^2 + (-1)^2`

= `2/sqrt(5)  "units"`

shaalaa.com
General Form of Equation of a Line
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 5: Straight Line - Miscellaneous Exercise 5 [पृष्ठ १२४]

APPEARS IN

बालभारती Mathematics and Statistics 1 (Arts and Science) [English] 11 Standard Maharashtra State Board
पाठ 5 Straight Line
Miscellaneous Exercise 5 | Q I. (10) | पृष्ठ १२४

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