Question

Asymptotes of the curve x^2y^2=a^2(x^2+y^2)

Answer 1

Step-by-step explanation:

zID: 793 833 8848

: 1234

Answer 2

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Solution:

x2y2 = a2(x2 + y2)

x2 (y2 - a2) - (y2 a2) = 0

Highest power of x is x2

Co-efficient of x2 is y - a2

The asymptotes parallel to the x-axis are given by:

y2 - a2 = 0

y = ± a

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