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If a pair of straight lines represented by 3x² - 8xy + my² = 0 are perpendicular to each other, find the value of m.​

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Answer: -4

Explanation:

If homogenous equation ax^2+2hxy+by^2=0---------------(a)

represent two perpendicular lines then, a+b=0

Calculation :

Given 3x² - 8xy + my² = 0

on comparing with equation (a) we get, a=3 and b=k

given lines are mutually perpendicular then

m+3= 0

m=-3

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