If the pair of lines represented by the equation ax^2 + 2hxy + by^2 = 0 are perp

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

If the pair of 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, there is a specific mathematical condition that must be satisfied.
Step 3: The condition for the lines to be perpendicular is given by the formula a*b + h^2 = 0.
Step 4: This means that if you multiply the coefficients 'a' and 'b' and then add the square of 'h', the result should equal zero.
Step 5: If this condition is true, then the lines represented by the equation are perpendicular to each other.

Condition for Perpendicular Lines – The relationship between the coefficients of the quadratic equation that determines if the lines represented by the equation are perpendicular.
Quadratic Forms – Understanding how the general form of a quadratic equation can represent pairs of lines and the conditions that govern their relationships.