Find the distance between the parallel planes 2 x+y+2 z=8 ...

CBSE Class 12 Math 2020 Outside Delhi Set 2 Solved Paper

Question : 8 of 11

Marks: +1, -0

Find the distance between the parallel planes

2 x+y+2 z=8 \;\text " and "\; 4 x+2 y+4 z+5=0

Solution: 👈: Video Solution

We have

2 x+y+27=8

\;\text " and, "\; 4 x+2 y+47=-5

⇒ 2 x+y+27=\;{-5}/{2}

Now,

\;\text " Dis tance "\; d=\;{{| 8+{5}/{2} |}}/{{√{(2)^2+(1)^2+(2)^2}}}

=\;{\;{21}/{2}}/{{√{3}}}=\;{21}/{2 × 3}=\;{7}/{2}

Hence, the dis tan ce between two given lines are

\;{7}/{2}

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