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

Create a free account to view solution

View Solution Free
Topic: Math miscellaneous·Practice all Math miscellaneous questions

More Math miscellaneous Questions

Given two points A ≡ (-2, 0) and B ≡ (0, 4). The coordinates of point M on the line x = y so that perimeter ...If I1 = 2x2 dx, I2, = 2x3 dx, I32x2dx and I4 = 223 dx then...If Xm. yn = (x + y)m + n, then is...The two lines x = ay + b, z = cy + d and x = a′y + b′, z = c′y + d′ will be perpendicular, if an...If f(x) = min {1, x2, x3}, then...