Question

The angle between the pair of straight lines
$5x {}^{2} - 6xy + y {}^{2} = 0$




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Answer 1

Concept:

General equation of pair of straight lines is

ax2 + by2 + 2hxy + 2gx + 2fy + c = 0

Angle between lines

θ =

Calculation:

Given:

5x2 - 6xy + y2 = 0

Comparing above with general equation

ax2 + by2 + 2hxy + 2gx + 2fy + c = 0

a = 5; b = 1; 2h = -6, g = 0, f = 0, c = 0;

Angle will be

θ =

=

θ =

θ =