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The Lines Px + 5y + 7 = 0 and 2y = 5x - 6 Are Perpendicular to Ach Other. Find P. - Mathematics

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प्रश्न

The lines px + 5y + 7 = 0 and 2y = 5x - 6 are perpendicular to ach other. Find p.

योग

उत्तर

Slope of px + 5y + 7 = 0 is `(-"p")/5`

Slope of 2y = 5x - 6 is `5/2`

Since the lines are given perpendicular to each other, the product of their slopes must be equal to -1.

`(-"p")/5 xx 5/2` = -1

`therefore` p = 2

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Conditions for Two Lines to Be Parallel Or Perpendicular
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अध्याय 13: Equation of A Straight Line - Exercise 13.3

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