**Correct option (A)(D)**

**Explanation:**

Homogenizing (2) with the help of (1), we get

∴ circle described on AB as Diameter passes through (0, 0)

∴ AB will subtend right angle at (0, 0)

∴ coefficient of x^{2} + coefficient of y^{2} = 0

⇒ (2k 2 -9) + (3k 2 - 36) = 0

⇒k^{2 }= 9

⇒ k = ± 3