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Find the Value of a Line Perpendicular to the Given Line 3x+4y = 13 - Mathematics

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Question

Find the value of a line perpendicular to the given line 3x+4y = 13

Sum

Solution

When the lines are perpendicular to the product of their slopes is -1

i.e m1 x m= -1

3x + 4y = 13

4y = -3x + 13

y = `(-3)/4"x" + 13/4`

m1 = `(-3)/4`

REquired slope = `(-1)/"m"_1 = 4/3`

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Conditions for Two Lines to Be Parallel Or Perpendicular
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Chapter 13: Equation of A Straight Line - Exercise 13.2

APPEARS IN

Frank Mathematics - Part 2 [English] Class 10 ICSE
Chapter 13 Equation of A Straight Line
Exercise 13.2 | Q 6.3
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