यदि 2 रेखाएं और एक-दूसरे के समतलीय हैं, तो λ का मान क्या है?

  1. 20
  2. 26
  3. 34
  4. 40

Answer (Detailed Solution Below)

Option 3 : 34
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Agniveer Navy SSR Full Test - 01
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संकल्पना:

यदि 2 रेखाएं  और   एक-दूसरे के समतलीय हैं, तो

 है। 

गणना:

समतलीय रेखाओं के दिए गए समीकरण 

 और  हैं। 

x= 1, y1 = - 1, z1 = 0 और x2 = - 2, y2 = 1, z2 = 2

∵ रेखाएं एक-दूसरे के समतलीय हैं इसलिए,

-3(6 + λ) - 2(4 + 1) + 2(2λ - 3) = 0

λ  - 34 = 0

λ = 34

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