WBJEE · Maths · Three Dimensional Geometry
The foot of the perpendicular drawn from the point (1,8,4) on the line joining the point (0,-11,4) and (2,-3,1) is
- A (4,5,2)
- B (-4,5,2)
- C (4,-5,2)
- D (4,5,-2)
Answer & Solution
Correct Answer
(D) (4,5,-2)
Step-by-step Solution
Detailed explanation
Equation of line joining points (0,-11,4) and (2,-3,1) is \[ \frac{x-2}{2}=\frac{y+3}{8}=\frac{z-1}{-3}=\lambda \] Let \(P\) is any point of the above line then coordinate of \(P\) is \((2 \lambda+2,8 \lambda-3,-3 \lambda+1)\) \(\therefore \mathrm{DR}^{\prime} \mathrm{s}\) of…
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