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Tapasranjan Das Grade: 12
        

Q:- A point moves so that the sum of the squares of its distances from the six faces of a cube given by x=±1, y=±1, z=±1 is 10 units . The locus of the point is


A. x^2+y^2+z^2=1


B. x^2+y^2+z^2=2


C. x+y+z =1


C. x+y+z=2

7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear Tapasranjan


planes are


x=±1, y=±1, z=±1


let the point is (x1,y1,z1)


 use distance formula of a point from a plane


(x1-1)2 +(x1+1)2 +(y1-1)2 +(y1+1)2 +(z1-1)2 +(z1+1)2 =10


2x12 + 2y12+ 2z1+ 6 =10


x12 + y12+ z1=2




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Badiuddin

7 years ago
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