Question

The ratio in which the line segment $AB$ joining the point $A(2,-3,1)$ and $B=(-1,4,5)$ is divided by $ZX-$plane is:

• A. $2:3$
• B. $-3:2$
• C. $3:4$
• D. $1:4$

Answer 1

Answer: (C)

$3:4$

The ratio that $ZX-$ plane divides the line segment joining the points $(x_1,y_1,z_1)$ and $(x_2,y_2,z_2)$ is $-y_1:y_2$

$\therefore$ The ratio that $ZX-$ plane divides the line segment joining the points $A(2,-3,1)$ and $B(-1,4,5)=-(-3):4=3:4$

Option $C$ is correct.