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20-01-2022
Mathematics

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For what value of n are the lines 4x + 6y = 9 and -3x + ny = 8 perpendicular?

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silirobert15 silirobert15

20-01-2022

We have:

(d) 4x + 6y = 9 <=> y = -2/3 x + 3/2
(d') -3x + ny = 8 <=> y = 3/n x + 8/n

So: (d) ⊥ (d')

=> -2/3 × 3/n = -1

=> -2/n = -1

=> n = -2/-1

=> n = 2

p/s: I'm not sure

Ok done. Thank to me :>

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