CBSE Class 12 Math 2020 Outside Delhi Set 1 Solved Paper - ...

CBSE Class 12 Math 2020 Outside Delhi Set 1 Solved Paper

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Question : 7 of 36

Marks: +1, -0

The two planes

x-2 {\y}+4 {\z}=10

and

18 x+17 {\y}+ {\kz}=50

are perpendicular, if

{\k}

is equal to

-4
4
2
-2

Solution:

P_1: x-2 y+4 z-10=0

P_2: 18 x+17 y+k z-50=0

P_1

and

P_2

are perpendicular if

\;18-34+4 k\;=0

⇒\;4 k\;=16

⇒ k\;=4

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