Home
Class 11
MATHS
Find the ratio in which the YZplane divi...

Find the ratio in which the YZplane divides the line segment formed by joining the points `(2, 4, 7)`and `(3, 5, 8)`.

Text Solution

Verified by Experts

The correct Answer is:
N/a

Let YZ-plane divides the line segment joining the points A(-2,4,7) and B (3,-5,8) in the ratio k : 1.
We know that at YZ-plane
x-coordinate=0
`implies (mx_(2)+nx_(1))/(m+n)=0`
`implies (k(3)+1(2))/(k+1)=0 implies k=(2)/(3)`
` therefore` Required ratio= 2 : 3
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION OF THREE DIMENSIONAL GEOMETRY

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|6 Videos
  • INTRODUCTION OF THREE DIMENSIONAL GEOMETRY

    NAGEEN PRAKASHAN|Exercise Exercise 12.2|5 Videos
  • CONIC SECTION

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|8 Videos
  • LIMITS AND DERIVATIVES

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|30 Videos

Similar Questions

Explore conceptually related problems

Find the ratio in which the YZ-plane divides the line segment formed by joining the points (-2,4,7) and (3,-5,8)

Find the ratio in which the plane 2x-3y+z=8 divides the line segment joining the points A(3, -2,1) and B(1, 4, -3). Also find the point of intersection of the line and the plane.

Find the ratio in which the YZ plane divides the line segment joining the following pair of points: (-2,7,4) and (3,-5,8)

Find the ratio in which Y-axis divides the line segment joining the points (3, 4) and (-2, 5).

Determine the ratio in which the line 2x+y4=0 divides the line segment joining the points A(2,2) and B(3,7).

Find the ratio in which X-axis divides the line segment joining the points (8, 5) and (-3, - 7).

Find the ratio in which X-axis divides the line segment joining the points (8, 5) and (-3, 7).

Find the ratio in which the YZ plane divides the line segment joining the following pair of points: (4,8,10) and (6,10,-8)

The ratio in which the point, P(-3,x) divide the line segment joining the points A(-5,-4) and B(-2,3) is :