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CBSE Class 12 Math 2020 Outside Delhi Set 2 Solved Paper

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Question : 8
Total: 11
Find the distance between the parallel planes
2x+y+2z=8‌ and ‌4x+2y+4z+5=0
Solution:     👈: Video Solution
We have
2x+y+27=8
‌ and, ‌4x+2y+47=−5
⇒2x+y+27=‌
−5
2

Now,
‌ 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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