Show that lines represented by 3x2 – 4xy – 3y2 = 0 are perpendicul – InterviewSolution

InterviewSolution

1.

Show that lines represented by 3x2 – 4xy – 3y2 = 0 are perpendicular to each other.

Answer»

Comparing the equation 3x² – 4 xy – 3y² = 0 with ax² + 2hxy + by² = 0, we get,

a = 3, 2h = -4, b = -3

Since a + b = 3 + (-3) = 0, the lines represented by 3x² – 4xy – 3y² = 0 are perpendicular to each other.

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