UP TGT Mathematics Co-ordinate Geometry Test Series - Part 5

If θ is the acute angle between the pair of lines ax² + 2hxy + by² = 0, then tan θ is equal to:

Type: MCQ • Marks: 1
If θ is the acute angle between the pair of lines ax² + 2hxy + by² = 0, then tan θ is equal to:
Options
A. (√(h² - ab)) / (a + b)
B. (2√(h² - ab)) / (a + b)
C. (h² - ab) / (a + b)
D. (a + b) / (2√(h² - ab))
Explanation
Standard formula for angle between pair of lines: tan θ = 2√(h² - ab) / (a + b).
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