The plane which bisects the line segment joining the points

Question:

The plane which bisects the line segment joining the points $(-3,-3,4)$ and $(3,7,6)$ at right angles, passes through which one of the following points ?

  1. $(4,-1,7)$

  2. $(4,1,-2)$

  3. $(-2,3,5)$

  4. $(2,1,3)$


Correct Option: , 2

Solution:

$p: 3(x-0)+5(y-2)+1(z-5)=0$

$3 x+5 y+z=15$

$\therefore$ Option (2)

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