Mathematics · Analytical Geometry
If the cone ax2 + by2 + cz2 + 2fyz + 2gzx + 2hxy = 0 has three mutually perpendicular tangent planes, then which of the following conditions is correct?
- 1ab + bc + ca - f2 - g2 - h2 = 0✓
- 21a2 + 1b2 + 1c2 = 0
- 3a + b + c = 0
- 41a + 1b + 1c = 0
Correct answer
ab + bc + ca - f2 - g2 - h2 = 0
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