Question

The equation of conjugate axis for the hyperbola `(x + y + 1)^2/4 - (x - y + 2)^2/9` = 1 is ______.

Options

• x + y + 1 = 0

• x – y + 2 = 0

• x = `-3/2`

• x + y + 2 = 0

Answer 1

The equation of conjugate axis for the hyperbola `(x + y + 1)^2/4 - (x - y + 2)^2/9` = 1 is x + y + 1 = 0.

Explanation:

`(x + y + 1)^2/4 - (x - y + 2)^2/9` = 1

Let x + y + 1 = X and x – y + 2 = Y

∴ `X^2/4 - Y^2/9` = 1

Put X = 0 for the conjugate axis

∴ x + y + 1 = 0