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Is the line 3x + 2y = 5 parallel to the line x + 2y = 1? - Mathematics

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प्रश्न

Is the line 3x + 2y = 5 parallel to the line x + 2y = 1?

योग

उत्तर

∴ 3x + 2y = 5

2y = −3x + 5

`y = (-3x)/2 + 5/2` 

Slope of this line = `(-3)/2`

∴ x + 2y = 1

2y = −x + 1

`y = (-1x)/2 + 1/2` 

Slope of this line = `(-1)/2`

Product of slopes of the two lines = `(-3)/2 ≠ (-1)/2`

So, the lines are not parallel to each other.

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 14: Equation of a Line - Exercise 14 (D) [पृष्ठ २०१]

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सेलिना Mathematics [English] Class 10 ICSE
अध्याय 14 Equation of a Line
Exercise 14 (D) | Q 3.3 | पृष्ठ २०१

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