Find the eqn. of the right circular cone with vertex (0, 0, 0), equation. of the axis as \(\frac{x}{2} = \frac{y}{{ - 4}} = \frac{z}{3}\) and semi vertical angle θ is 30°.
1
87(x2 + y2 + z2) = 4(1 - 4y + 3z)
2
87(x2 + y2 + z2) = 4(2 - 4y + 3z)
3
87(x2 + 2y2 + z2) = 4(2 - 4y + 3z)
4
87(x2 + y2 + z2) = 4(2 + 4y + 3z)