Mathematics · 3D Geometry
The locus of the points from which three mutually perpendicular planes can be drawn to touch the ellipse x2a2 + y2b2 = 1, z = 0 is:
- 1x2 + y2 - z2 = a2 + b2
- 2x2 + y2 + z2 = a2 + b2✓
- 3x2 - y2 + z2 = a2 - b2
- 4x2 - y2 - z2 = a2 - b2
Correct answer
x2 + y2 + z2 = a2 + b2
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