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BITSAT2022MathematicsThree Dimensional GeometryActual

If the plane 3 x+y+2 z+6=0 is parallel to the line 3 x-1 2 b =3-y= z-1 a , then the value of 3 a+3 b is

Options

  1. A1 2
  2. B3 2
  3. C3
  4. D4

Correct answer

B. 3 2

Step-by-step solution

Given plane 3 x+y+2 z+6=0 and line x- 1 3 2 b 3 = y-3 -1 = z-1 a Since, plane is parallel to line, then aligned & 3 ( 2 b 3 )+(1)(-1)+2(a)=0 & 2 b-1+2 a=0 & a+b= 1 2 & aligned Now, 3 a+3 b= 3 2

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