If the pair of lines represented by ax^2 + 2hxy + by^2 = 0 are perpendicular, th

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

If the pair of lines represented by 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 angle between them must be 90 degrees.
Step 3: Recall the condition for two lines represented by a quadratic equation to be perpendicular: it involves the coefficients a, b, and h.
Step 4: The specific condition for the lines to be perpendicular is that the sum of the coefficients a and b must equal zero.
Step 5: Therefore, if a + b = 0, the lines are perpendicular.

Condition for Perpendicular Lines – The condition for two lines represented by a quadratic equation to be perpendicular is derived from the relationship between the coefficients of the equation.
Quadratic Forms – Understanding how the coefficients in a quadratic equation relate to the geometric properties of the lines they represent.