WBJEE · Maths · Three Dimensional Geometry
The equation of the plane, which bisects the line joining the points (1,2,3) and (3,4,5) at right angles is
- A \(x+y+z=0\)
- B \(x+y-z=9\)
- C \(x+y+z=9\)
- D \(x+y-z+9=0\)
Answer & Solution
Correct Answer
(C) \(x+y+z=9\)
Step-by-step Solution
Detailed explanation
The given points are \(A(1,2,3)\) and \(B(3,4,5)\) The direction ratios of line segment \(A B\) is given by \[ \begin{array}{l} \left(x_{2}-x_{1}\right),\left(y_{2}-y_{1}\right),\left(z_{2}-z_{1}\right) \\ (3-1),(4-2),(5-3)=(2,2,2)=(1,1,1) \end{array} \] Since, the plane bisects…
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