Question

Equation of asymptotes of xy = 7x + 5y are

• A. x = 7, y = 5
• B. x = 5, y = 7
• C. xy = 35
• D. None of these

Answer 1

Answer: (B)

x = 5, y = 7

Answer 2

xy = 7x + 5y

⇒ x(y-7) = 5y

⇒ x(y-7) = 5(y-7) + 35

⇒ (x – 5) (y – 7) = 35

⇒ XY = C

⇒ Asymptotes X = 0, Y = 0

⇒ x = 5 and y = 7 are the equation of asymptotes.