Mathematics · Analytical Solid Geometry
Find the equation of a right circular cone with vertex at (2, -3, 5), whose axis makes equal angles with the coordinate axes, and has a semi-vertical angle θ = 30°.
- 19[(x - 2)2 + (y + 3)2 + (z - 5)2] = 4[(x - 2) + (y - 3) + (z - 5)]2
- 29[(x - 2)2 + (y + 3)2 + (z - 5)2] = 7[(x - 2) + (y + 3) + (z - 5)]2
- 39[(x - 2)2 + (y + 3)2 + (z - 5)2] = 4[(x - 2) + (y + 3) + (z - 5)]2✓
- 49[(x - 2)2 + (y + 8)2 + (z - 5)2] = 4[(x - 2) + (y + 3) + (z - 5)]2
Correct answer
9[(x - 2)2 + (y + 3)2 + (z - 5)2] = 4[(x - 2) + (y + 3) + (z - 5)]2
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