AP EAMCET · Maths · Three Dimensional Geometry
The harmonic conjugate of \((2,3,4)\) with respect to the points \((3,-2,2)\) and \((6,-17,-4)\) is
- A \((11,-16,2)\)
- B \(\left(\frac{1}{2}, \frac{1}{3}, \frac{1}{4}\right)\)
- C \((0,0,0)\)
- D \(\left(\frac{18}{5}, \frac{-5}{1}, \frac{4}{5}\right)\)
Answer & Solution
Correct Answer
(D) \(\left(\frac{18}{5}, \frac{-5}{1}, \frac{4}{5}\right)\)
Step-by-step Solution
Detailed explanation
Let \(A=(3,-2,2)\) \[ \begin{aligned} & B=(6,-17,-4) \\ & P=(2,3,4) \end{aligned} \] Let \(P\) divides \(A B\) in the ratio of \(m: n\).…
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