Question

Find the asymptates of the curve x^2×Y^2=a^2(x^2+y^2)​

Answer 1

Answer:

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

ATC Previous Year Quiestions Maths.docx 3

These lines form a square with side 2a.