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Show that the lines are 3x + 2y + 9 = 0 and 12x + 8y − 15 = 0 are parallel lines - Mathematics

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प्रश्न

Show that the lines are 3x + 2y + 9 = 0 and 12x + 8y − 15 = 0 are parallel lines

योग
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उत्तर

The equations of the given lines are

3x + 2y + 9 = 0   ......(1)

12x + 8y – 15 = 0   ......(2)

Slope of line (1) m1 = `- ("coefficient of " x)/("coefficient of"  y)`

m1 = `- 3/2`

Slope of line (2) m2 = `- 12/8`

m2 = `- 3/2`

Here m1 = m2

∴ The given lines are parallel.

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Angle Between Two Straight Lines
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 6: Two Dimensional Analytical Geometry - Exercise 6.3 [पृष्ठ २७१]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
अध्याय 6 Two Dimensional Analytical Geometry
Exercise 6.3 | Q 1 | पृष्ठ २७१

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