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

AI Generated Solution

To find the ratio in which the YZ-plane divides the line segment formed by joining the points \( A(2, 4, 7) \) and \( B(3, 5, 8) \), we can follow these steps: ### Step 1: Understand the YZ-plane The YZ-plane is defined by the equation \( x = 0 \). Any point on this plane will have its x-coordinate equal to zero. ### Step 2: Use the Section Formula Let the point \( P \) divide the line segment \( AB \) in the ratio \( k : 1 \). According to the section formula, the coordinates of point \( P \) can be expressed as: \[ ...
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    NCERT ENGLISH|Exercise EXERCISE 12.1|4 Videos
  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    NCERT ENGLISH|Exercise EXERCISE 12.2|5 Videos
  • CONIC SECTIONS

    NCERT ENGLISH|Exercise EXERCISE 11.1|15 Videos
  • LIMITS AND DERIVATIVES

    NCERT ENGLISH|Exercise EXERCISE 13.3|8 Videos

Similar Questions

Explore conceptually related problems

Find the ratio in which the y-z plane divides the line segment formed by joining the point (-2,4,7) and (3,-5,8).

Find the ratio in which the y-axis divides the line segment joining the points (5,-6) and (-1,-4) .

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 point (1/2,6) divides the line segment joining the points (3,5) and (-7,9).

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 the plane 2x+3y+5z=1 divides the line segment joining the points (1,0,-3) and (1,-5,7) .

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

Find the ratio in which the x - axis divide the line segment joining the point A(2,4) "and" B(-4,3).

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 points Q(-1,-8) divide the line segment joining the points A(1,-2) and B(4,7).