AP EAMCET · Maths · Three Dimensional Geometry
The orthocentre of triangle formed by points: \((2,1,5)\), \((3,2,3)\) and \((4,0,4)\) is
- A \((3,1,2)\)
- B \((3,2,3)\)
- C \((3,1,4)\)
- D \((1,4,0)\)
Answer & Solution
Correct Answer
(C) \((3,1,4)\)
Step-by-step Solution
Detailed explanation
\(A(2,1,5), B(3,2,3) \text { and } C(4,0,4)\) Equation of line \(A C\) \(\frac{x-2}{2}=\frac{y-1}{-1}=\frac{z-5}{-1}\) Equation line \(B C\) \(\frac{x-3}{1}=\frac{y-2}{-2}=\frac{z-3}{1}\) Equation of altitude from \(A\) on \(B C\) \(P\) is foot of perpendicular of \(A P\) on…
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