Find the value of \lambda for which the following lines are perpendicular to each other : \frac{ {\x}-5}{5 \lambda+2}=\frac{2- {\y}}{5}=\frac{1- {\z}}{-1} ; \frac{ {\x}}{1}= { {\y}+\frac{1}{2}}/{2 \lambda}=\frac{ {\z}-1}{3} Hence, find whether the lines intersect or not.

CBSE Class 12 Math 2019 All India Set 1 Solved Paper

Question : 23 of 29

Marks: +1, -0

Find the value of

λ

for which the following lines are perpendicular to each other :

\;{ {\x}-5}/{5 λ+2}=\;{2- {\y}}/{5}=\;{1- {\z}}/{-1} ; \;\; \;{ {\x}}/{1}=\;{ {\y}+{1}/{2}}/{2 λ}=\;{ {\z}-1}/{3}

Hence, find whether the lines intersect or not.

Solution:

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