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Paragraph: Let S be the line of intersection of two planes x+y+z=1 and 2 x+3 y-4 z=8 . Question: Which of the following are the direction ratios of S ?

Options

  1. A-7,-6,1
  2. B-6,5,1

Correct answer

B. -6,5,1

Step-by-step solution

2 planes are x+y+z=1 and 2 x+3 y-4 z=8 . Let a , b , c are dr ^ s is of lines of formed by intersection of planes then the lines is perpendicular to normal of both planes. a+b+c=0 ....(i) and 2 a+3 b-4 c=0 .....(ii) a -4-3 = b 2+ a = c 3-2 = (Solving (i) and (ii) a =-7 , ~b =6 , c = Dr's or -7,6,1 .

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