AP EAMCET · Maths · Three Dimensional Geometry
If \(\mathrm{A}(3,-1,11), \mathrm{B}(0,2,3), \mathrm{C}(4,8,11)\) are three points, then the coordinates of the foot of the perpendicular drawn from the point \(\mathrm{A}\) to the line joining the points \(\mathrm{B}\) and \(C\) is
- A \((3,5,7)\)
- B \((5,9,6)\)
- C \((2,5,7)\)
- D \((1,2,3)\)
Answer & Solution
Correct Answer
(C) \((2,5,7)\)
Step-by-step Solution
Detailed explanation
Given \(\mathrm{A}(3,-1,11), \mathrm{B}(0,2,3)\) and \(\mathrm{C}(4,8,11)\) Now, Equation of \(\mathrm{BC}\) is \(\begin{aligned} & \frac{x-0}{4}=\frac{y-2}{6}=\frac{2-3}{8}= \\ & \Rightarrow x=4 r, y=6 r+2, z=8 r+3 \end{aligned}\) Any point on…
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