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 ?

Updated On: July 22, 2025
  • (4, -1,7)
  • (4,1,-2)
  • (-2,3,5)
  • (2,1,3)
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The Correct Option is B

Solution and Explanation

$p : 3(x - 0) + 5 (y - 2) + 1 (z - 5) = 0$ $3x + 5y + z = 15$
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Concepts Used:

Distance of a Point from a Plane

The shortest perpendicular distance from the point to the given plane is the distance between point and plane. In simple terms, the shortest distance from a point to a plane is the length of the perpendicular parallel to the normal vector dropped from the particular point to the particular plane. Let's see the formula for the distance between point and plane.

Distance of a Point from a Plane

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