Question

The co-ordinates of the point at which xz-plane divides the line joining A(-2,3,4) and B(1,2,3) is​

Answer 1

$\underline{\textbf{Given:}}$

$\textsf{The line joining A(-2,3,4) and B(1,2,3) meets xz-plane}$

$\underline{\textbf{To find:}}$

$\textsf{The co ordinates of the point where the line joining}$

$\textsf{A and B meets xz-plane}$

$\underline{\textbf{Solution:}}$

$\textsf{The equation of the line joining A(-2,3,4) and B(1,2,3) is}$

$\mathsf{\dfrac{x-x_1}{x_2-x_1}=\dfrac{y-y_1}{y_2-y_1}=\dfrac{z-z_1}{z_2-z_1}}$

$\mathsf{\dfrac{x+2}{1+2}=\dfrac{y-3}{2-3}=\dfrac{z-4}{3-4}}$

$\mathsf{\dfrac{x+2}{3}=\dfrac{y-3}{-1}=\dfrac{z-4}{-1}}$

$\mathsf{It\;meets\;xz\;plane\;\implies\;y=0}$

$\mathsf{\dfrac{x+2}{3}=\dfrac{0-3}{-1}=\dfrac{z-4}{-1}}$

$\mathsf{\dfrac{x+2}{3}=3=\dfrac{z-4}{-1}}$

$\mathsf{\dfrac{x+2}{3}=3}$

$\mathsf{x+2=9}$

$\mathsf{x=9-2}$

$\mathsf{x=7}$

$\mathsf{and}$

$\mathsf{\dfrac{z-4}{-1}=3}$

$\mathsf{z-4=-3}$

$\mathsf{z=4-3}$

$\mathsf{z=1}$

$\therefore\textsf{The point of intersection is (7,0,1)}$

$\underline{\textbf{Find more:}}$

In what ratio does the x- axis divide the line segment joining A(5,6) and B (2,-8)?​  

https://brainly.in/question/13579888

Answer 2

Answer:

(7,0,1)Point of intersection...

Step-by-step explanation:

hope it helps....i got it like this..