Question

If foci of hyperbola lie on y = x and one of asymptote is

y = 2x, then equation of hyperbola, given that it passes through (3, 4) is-

• A. x² – y² –$\frac{5}{2}$xy + 5 = 0
• B. 2x² – 2y² + 5xy + 5 = 0
• C. 2x² + 2y² + $\frac{5}{2}$xy + 5 = 0
• D. None of these

Answer 1

Answer: (D)

None of these

Answer 2

Major axis of hyperbola bisects asymptote

\ equation of other asymptote is y = $\frac{x}{2}$

equation of hyperbola is (y –2x) (x –2y) + k = 0

put (3, 4)