JEE Main | 2018Math miscellaneousHard

Question

The length of the projection of the line segment joining the points (5, -1, 4) and (4, -1, 3) on the plane, x + y + z = 7 is :

Options

A.

2/3

B.

1/3

C.

23

D.

23

Solution


AC = AB→ . AC^
=(i^+k^).(i^+j^+k^)3=23
A'B' = BC = AB2-AC2=2-43=23
Length of projection = 23

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