The ratio in which $y z$-plane divides the line segment joining $(-3,4,-2)$ and $(2,1,3)$ is

The ratio in which $y z$-plane divides the line segment joining $(-3,4,-2)$ and $(2,1,3)$ is
  1. $-4: 1$
  2. $3: 2$
  3. $-2: 3$
  4. $1: 4$

Solution

$y z$-plane divides the line segment in the ratio $\begin{aligned}-x_1: x_2 & =-(-3): 2 \\ & =3: 2\end{aligned}$

Asked in: AP EAMCET 2007

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