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Integrals

Question
CBSEENMA12036058
Wired Faculty App

Distance between two parallel planes 2x + y + 2z = 8 and 4x + 2y + 4z + 5 = 0 is

  • 3/2

  • 5/2

  • 7/2

  • 9/2

Solution

C.

7/2

2x+y+2z-8 =0
2x+y+2z+5/2 = 0
Distance between two parallel planes
equals space fraction numerator vertical line straight d subscript 1 minus straight d subscript 2 vertical line over denominator square root of straight a squared plus straight b squared plus straight c squared end root end fraction space equals space open vertical bar fraction numerator negative 8 minus begin display style 5 over 2 end style over denominator square root of 2 squared plus 1 squared plus 2 squared end root end fraction close vertical bar space equals space fraction numerator begin display style 21 over 2 end style over denominator 3 end fraction space equals space 7 over 2

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