WBJEE · Maths · Three Dimensional Geometry
The direction ratios of the normal to the plane passing through the points (1,2,-3) ,(-1,-2,1) and parallel to \(\frac{x-2}{2}=\frac{y+1}{3}=\frac{z}{4}\) is
- A (2, 3, 4)
- B \((14,-8,-1)\)
- C \((-2,0,-3)\)
- D \((1,-2,-3)\)
Answer & Solution
Correct Answer
(B) \((14,-8,-1)\)
Step-by-step Solution
Detailed explanation
Direction ratios of line joining the points (1,2,-3) and (-1,-2,1) is \((-1-1,-2-2,1+3)\) i.e. (-2,-4,4) Let the direction ratios of the normal to the plane is \((a, b, c),\) then \[ \begin{array}{r} 2 a+3 b+4 c=0 ....(i)\\ -2 a-4 b+4 c=0 ....(ii) \end{array} \] and By Eqs. (i)…
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