Question
Download Solution PDFFor the curve x2y2 = a2(x2 + y2), the asymptotes parallel to the coordinates axes are
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe correct answer is option 2.
Given: the curve x2y2 = a2(x2 + y2),
Calculation:
⇒ x2y2 = a2(x2 + y2),
⇒ x2 (y2 - a2) - (y2 a2) = 0
The highest power of x is x2
Co-efficient of x2 is y2 - a2
The asymptotes parallel to the x-axis are given by:
⇒ y2 - a2 = 0
⇒ y = ± a
The highest power of y is y2 and its co-efficient is x2 - a2
The asymptotes parallel to the y-axis are given by:
x2 - a2 = 0
x = ± a
Hence, the asymptotes parallel to the coordinates axes are y = ± a and x = ± a respectively.
Last updated on Jul 4, 2025
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