Practicing Success
Practicing Success
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The equation $12x^2 - 2y^2 - 6z^2 - 2xy - 8yz + 6zx = 0 $ represents |
a pair of straight lines a pair of planes a sphere a pair of planes not passing through the origin. |
a pair of planes not passing through the origin. |
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. |
