If the lines represented by the equation ax^2 + 2hxy + by^2 = 0 are perpendicula

If the lines represented by the equation ax^2 + 2hxy + by^2 = 0 are perpendicular, then:

If the lines represented by the equation ax^2 + 2hxy + by^2 = 0 are perpendicular, then:

Step 1: Understand that the equation ax^2 + 2hxy + by^2 = 0 represents two lines in a plane.
Step 2: Recognize that for two lines to be perpendicular, the product of their slopes must equal -1.
Step 3: The slopes of the lines can be derived from the coefficients a, b, and h in the equation.
Step 4: The condition for the lines to be perpendicular is derived mathematically, leading to the conclusion that a + b must equal 0.
Step 5: Therefore, if a + b = 0, the lines represented by the equation are perpendicular.

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