MCQ
The plane XOZ divides the join of (1, -1, 5) and (2, 3, 4) in the ratio $\lambda:1$ then $\lambda$ is:
- A-3
- B$\frac{1}{4}$
- C3
- D$\frac{1}{3}$
Solution:
Given points are (1, -1, 5) and (2, 3, 4)Using section formula the desired points is
$=\Big(\frac{2\lambda+1}{\lambda+1},\frac{3\lambda-1}{\lambda+1},\frac{4\lambda+5}{\lambda+1}\Big)$
Since, this point lies in XOZ plane then its yy-co-ordinate should be zero.
$\Rightarrow\frac{3\lambda-1}{\lambda+1}=0$
$\Rightarrow\lambda=\frac{1}{3}$
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