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

Check whether the given lines are parallel or perpendicular 5x + 23y + 14 = 0 and 23x – 5x + 9 = 0 - Mathematics

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Question

Check whether the given lines are parallel or perpendicular

5x + 23y + 14 = 0 and 23x – 5x + 9 = 0

Sum
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Solution

5x + 23y + 14 = 0 and 23x – 5x + 9 = 0

Slope of the line (m1) = `(-5)/(23)`

Slope of the line (m2) = `(-23)/(-5) = 23/5`

m1 × m2 = `(-5)/(23) xx (23)/(5)` = – 1

∴ The two lines are perpendicular

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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. (ii) | Page 235
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