The condition for the lines represented by ax^2 + 2hxy + by^2 = 0 to be parallel

Practice Questions

Q1
The condition for the lines represented by ax^2 + 2hxy + by^2 = 0 to be parallel is:
  1. h^2 = ab
  2. h^2 > ab
  3. h^2 < ab
  4. a + b = 0

Questions & Step-by-Step Solutions

The condition for the lines represented by ax^2 + 2hxy + by^2 = 0 to be parallel is:
  • Step 1: Understand that the equation ax^2 + 2hxy + by^2 = 0 represents two lines.
  • Step 2: Recognize that for two lines to be parallel, their slopes must be equal.
  • Step 3: Recall that the condition for the lines to be parallel can be derived from the coefficients of the equation.
  • Step 4: The condition for parallel lines in this case is given by the formula h^2 = ab.
  • Step 5: Therefore, if you have values for a, b, and h, you can check if h^2 equals ab to determine if the lines are parallel.
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