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Find the number of sphere of radius r...

Find the number of sphere of radius `r` touching the coordinate axes.

Text Solution

Verified by Experts

The correct Answer is:
`8`
Obviously one in each octant.
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Knowledge Check

  • The number of spheres of radius r touching the co-crdinate axes is

    A
    4
    B
    6
    C
    8
    D
    none of these

  • The volume of a sphere of radius 2r is

    A
    `(32 pi r^(3))/(3)`
    B
    `(16 pi r^(3))/(3)`
    C
    `(8pi r^(3))/(3)`
    D
    `(64 pi r^(3))/(3)`

  • The equation of the circle of radius 5 and touching the coordinates axes in third quadrant, is

    A
    `(x-5)^(2)+(y+5)^(2)=25`
    B
    `(x+4)^(2)+(y+4)^(2)=25`
    C
    `(x+6)^(2)+(y+6)^(2)=25`
    D
    `(x+5)^(2)+(y+5)^(2)=25`

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    Form the differential equation of the family of circles in the second quadrant and touching the coordinate axes.

    Form the differential equation of the family of circles in the second quadrant and touching the coordinate axes.

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