Posted by **pankajv** on Sunday, August 15, 2010 at 2:13pm.

Find the ratios in which the spheres x^2+y^2+z^2=24 divides the line joining the points (-1,1,2) and (-4,4,8)

- math -
**drwls**, Sunday, August 15, 2010 at 2:32pm
Spheres?

Only one sphere divides that line.

The line goes through the origin (0,0,0). That is apprent by inspection. The sphere is centered at the origin. That is apparent from the equation of the sphere.

Therefore the line (if extended) must intersect the sphere at two points equidistant from the origin, at radius sqrt(24)=4.899. The first point is inside the sphere; the second is outside; therefore the line is divided into two parts only.

Find the point of intersection to complete the problem.

## Answer this Question

## Related Questions

- Math(word problem) - For the line joining points A(-1, 3) and B(5, 7): a.Find ...
- math - On a coordinate system, the segment joining the points (3,8) and (9,16) ...
- Math - Find the equation of the perpendicular bisector of the line segment ...
- Math - Find the slope of the secant line on f joining the points at x = e and x...
- calculus - Find the points of the paraboloid z=x^{2}+y^{2}-1 at which the normal...
- co-ordinate geometry - The joining straight line of the points(3,4)and (2,-1) ...
- math - find the midpoint of the line segment joining the points p1 and p2. P1=(-...
- MATH - 1.The point P divides the interval joining A(-1,-2) to B(9,3) internally ...
- Math - In this problem we consider drawing some straight lines which form a nice...
- math - Ten distinct noncollinear points are chosen on a plane. a) How many line ...