AP EAMCET · Maths · Three Dimensional Geometry
The foot of perpendicular from \((5,7,3)\) to the join of \((9,13,15)\) and \((12,21,10)\) is
- A \((-2,-19,7)\)
- B \((2,19,7)\)
- C \((2,2,3)\)
- D \((9,13,15)\)
Answer & Solution
Correct Answer
(D) \((9,13,15)\)
Step-by-step Solution
Detailed explanation
\[ \text { Let } A=(9,13,15) \] \[ \begin{aligned} & B=(12,21,10) \\ & P=(5,7,3) \text { and } Q=(x, y, z) \end{aligned} \] Dr's of \(\overleftrightarrow{A B}=(9-12,13-21,15-10)\) \[ =(-3,-8,5)=(3,8,-5) \] Equation of line \(\overleftrightarrow{A B}\) is…
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