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A variable plane passes through a fixed point `(a ,b ,c)` and cuts the coordinate axes at points `A ,B ,a n dCdot` Show that eh locus of the centre of the sphere `O A B Ci s a/x+b/y+c/z=2.`

A

`ayz + bzx + cxy=2xyz`

B

`a/x+ b/y+ c/z =1`

C

`a/x + b/y+ c/z=2`

D

`a/x + b/y + c/z =3`

Text Solution

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The correct Answer is:
A, C
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VMC MODULES ENGLISH-THREE DIMENSIONAL GEOMETRY -LEVEL-2
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