Question

Parametric form of the hyperbola `x^2/4 - y^2/9` = –1 is ______.

Options

• (2tanθ, 3secθ)

• (3secθ, 2tanθ)

• (9secθ, 4tanθ)

• (3tanθ, 2secθ)

Answer 1

Parametric form of the hyperbola `x^2/4 - y^2/9` = –1 is (2tanθ, 3secθ).

Explanation:

Parametric form of `x^2/4 - y^2/9` = –1

⇒ `y^2/9 - x^2/4` = 1

On putting (3secθ, 2tanθ) the required form is given by

∴ x = 2tanθ and y = 3secθ

i.e. (2tanθ, 3secθ)