If a point R ( 4, y, z ) lies on th...

If a point ` R ( 4, y, z ) ` lies on the line segment joining the points ` P ( 2, - 3, 4 ) ` and ` Q ( 8, 0, 10) ` then the distance of R from the origin is:

A

6

B

`2sqrt(14)`

C

`sqrt(53)`

D

`2sqrt(21)`

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

Point A (2, -3) lies on the line segment joining the points P(-4,- 3) and Q (1, -3).

If point P(4,2) lies on the line segment joining the points A(2,1) and B(8,4) then :

If point P(4,2) lies on the line segment joining the points A(2,1) and B(8,4) then

The point P(-4,2) lies on the line segment joining the points A(-4,6) and B (-4,-6).

If the point P (2, 1) lies on the line segment joining points A(4, 2) and B(8, 4), then

The mid-point of the line segment joining the points (- 2, 4) and (6, 10) is

A point R with z-coordinates 8 lies on the line segment joining the points P(2,-3,4) and Q(8,0,10). Find the coordinates of R.

If the point P(2, 1) lies on the line segment joining points A(4, 2) and B(8, 4), then:

A point R with x-coordinate 4 lies on the line segment join the points P(2,-3,4) and Q(8,0,10) . Find the coordinates of R.