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Visualizing Conics from Right Circular Cone

The locus of ...

Question

The locus of a point which moves in such a way that the sum of the squares of its distances from six faces of a cube is constant is

A

Sphere

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B

Circle

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C

Plane

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D

Ellipse

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Solution

The correct option is A Sphere
It is very obvious that locus which moves in way that its sum of square of distance from six faces of cube is constant will be a sphere whose centre coincide with cube and diamete will be same as side of the cube.

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