Question

4. x²y² = a² (x² + y²). Find asymptotes of the curve​

Answer 1

Answer:

Step-by-step explanation:

axx2+bxy2=1axx2+bxy2=1

Rearranging this into a nicer form:

y2=−b2∗x2a2−x2y2=−b2∗x2a2−x2

A vertical asymptote will occur when the denominator = 0.Therefore :

x=+/−ax=+/−a

For the Horizontal asymptope take the limit as x → infinity

y2=limx→infinity−b2∗x2x2a2x2−1y2=limx→infinity−b2∗x2x2a2x2−1

y2=limx→infinityb21y2=limx→infinityb21

Therefore Horizontal assomtyopes at :

y=+/−b