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Question

Mathematics Question on Distance of a Point from a Plane

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 ?

A

(4, -1,7)

B

(4,1,-2)

C

(-2,3,5)

D

(2,1,3)

Answer

(4,1,-2)

Explanation

Solution

p:3(x0)+5(y2)+1(z5)=0p : 3(x - 0) + 5 (y - 2) + 1 (z - 5) = 0 3x+5y+z=153x + 5y + z = 15