# math

posted by .

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 -

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.

## Similar Questions

1. ### Math(word problem)

For the line joining points A(-1, 3) and B(5, 7): a.Find the midpoint of the line. b.Find the distance of the line. c.Find the slope of the line. d.Find the y-intercept of the line. e.What would be the slope of a line perpendicular …
2. ### MATH HELP

Which of the following statements best describes the graph of 4x − y = 1?
3. ### Math

Points P and Q are both in the line segment AB and on the same side of its midpoint. P divides AB in the ratio 2:3, and Q divides AB in the ratio 3:4. If PQ=2, then find the length of the line segment AB.
4. ### maths

(a) Find the points which divide the line joining A(1,3) and B(-4,-1) internally in the ratios: (i) 1:2 (ii) 1:1 (iii) 3:1 (b) On the same x-y axes plot the point A(1,3) and B(-4,-1) and draw the line joining them. Add the three points …
5. ### Maths

(a) Find the points which divide the line joining A(1,3) and B(-4,-1) internally in the ratios: (i) 1:2 (ii) 1:1 (iii) 3:1 (b) On the same x-y axes plot the point A(1,3) and B(-4,-1) and draw the line joining them. Add the three points …
6. ### maths

(a) Find the points which divide the line joining A(1,3) and B(-4,-1) internally in the ratios: (i) 1:2 (ii) 1:1 (iii) 3:1 (b) On the same x-y axes plot the point A(1,3) and B(-4,-1) and draw the line joining them. Add the three points …