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Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10

Check whether the given lines are parallel or perpendicular x3+y4+17 = 0 and 2x3+y2+110 = 0 - Mathematics

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Question

Check whether the given lines are parallel or perpendicular

`x/3 + y/4 + 1/7` = 0 and `(2x)/3 + y/2 + 1/10` = 0

Sum

Solution

`x/3 + y/4 + 1/7` = 0, `(2x)/3 + y/2 + 1/10` = 0

Slope of the line (m1) = `(-"a")/"b"`

= `-1/3 ÷ 1/4`

= `-1/3 xx 4/1`

= `-4/3`

Slope of the line (m2) = `-2/3 ÷ 1/2`

= `-2/3 xx 2/1`

= `-4/3`

m1 = m2 = `-4/3`

∴ The two lines are parallel.

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General Form of a Straight Line
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Chapter 5: Coordinate Geometry - Exercise 5.4 [Page 235]

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Samacheer Kalvi Mathematics [English] Class 10 SSLC TN Board
Chapter 5 Coordinate Geometry
Exercise 5.4 | Q 3. (i) | Page 235
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