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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:
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Practice Questions
1 question
Q1
If the pair of lines represented by ax^2 + 2hxy + by^2 = 0 are perpendicular, then:
a + b = 0
a - b = 0
h = 0
a = b
Show Solution
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For the lines to be perpendicular, the condition a + b = 0 must hold.
Questions & Step-by-step Solutions
1 item
Q
Q: If the pair of lines represented by ax^2 + 2hxy + by^2 = 0 are perpendicular, then:
Solution:
For the lines to be perpendicular, the condition a + b = 0 must hold.
Steps: 5
Show Steps
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.
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