If a sphere of radius passes through the origin, then the extremities of the diameter parallel to -axis lie on each of the spheres |
|||

a) |
b) |
||

c) |
d) |

If a sphere of radius passes through the origin, then the extremities of the diameter parallel to -axis lie on each of the spheres |
|||

a) |
b) |
||

c) |
d) |

1 Answer

127 votes

**(a)**

Let be the centre of the sphere with radius . Since, it passes through the origin

. Equation of the diameter parallel to -axis is

…(i)

As it passes through and direction ratios of - axis are 1, 0, 0

The extremities of diameter are the points on Eq. (i) at a distance from the centre

The required extremities are and

lies on the sphere as

Because

and similarly lies on the sphere

127 votes

127