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### Question Asked by a Student from EXXAMM.com Team

** Q 2117023880. ** If the angle of intersection of the sphere

`x^2 + y^2 + z^2 - 2x -4y- 6z+10 = 0` with the

sphere, the extremities of whose diameter are

`(1, 2, - 3)` and `(5, 0, 1)` is `cos^(-1) (lambda)`, then the value

of `9999 | lambda | ` must be