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Find the Relation Connecting P and Q, If the Lines Py = 2x + 5 and Qx + 3y = 2 Are Parallel to Each Other. - Mathematics

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Question

Find the relation connecting p and q, if the lines py = 2x + 5 and qx + 3y = 2 are parallel to each other.

Sum

Solution

Slope of py = 2x + 5 is `2/"p"`

Slope of line qx + 3y = 2 is `(-"q")/3`

Since the lines are given parallel their slopes must be equal 

`therefore 2/"q" = (-"q")/3`

`therefore "pq" = -6`

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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 13.3

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Frank Mathematics - Part 2 [English] Class 10 ICSE
Chapter 13 Equation of A Straight Line
Exercise 13.3 | Q 15
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