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in Straight Lines by (29.6k points)
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Find the measure of the acute angle between the lines represented by:

2x2 + 7xy + 3y2 = 0

1 Answer

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Best answer

Comparing the equation

2x2 + 7xy + 3y2 = 0 with

ax2 + 2hxy + by2 = 0, we get,

a = 2, 2h = 7 i.e. h = 7/2 and b = 3

Let θ be the acute angle between the lines.

 = \(\cfrac{5}{5}\)

tanθ = 1 

∴ θ = tan 1 = 45° 

∴ θ = 45°

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