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Question
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The difference between the slopes of the lines represented by 3x2 - 4xy + y2 = 0 is 2
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Solution
The difference between the slopes of the lines represented by 3x2 - 4xy + y2 = 0 is 2.
Explanation:
Comparing with
ax2 + 2hxy + by2 = 0
a = 3, 2h = -4, h = -2, b = 1
Let m1, m2 are slopes of the lines
∴ m1 - m2 = `(2sqrt(h^2 - ab))/b`
= `(2sqrt(4 - 3))/1`
= 2
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