The equation $12x^2 - 2y^2 - 6z^2 - 2xy - 8yz + 6zx = 0 $ represents
Answer & explanation
Correct answer: option 4
The given equation can be factorized as
$(3x + y + 3z) (4x - 2y - 2z)= 0 $
$⇒ 3x + y + z = 0 $ and $4x - 2y - 2z = 0.$
Clearly, these two equations represents planes passing through the origin.