Question
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
BITSAT
Mathematics
Three Dimensional Geometry
2022
BITSAT 2022
BITSAT Mathematics Question (2022) — Solution
Options
- A. 1 2
- B. 3 2
- C. 3
- D. 4
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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