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

The integral equals :...If a, b, c are non-zero real numbers and if the equations (a - 1)x = y + z, (b - 1)y = z + x, (c - 1) z = x + y has a no...If one root of the equation ax2 + bx + c = 0 is square of the other, then the value of b3 + ac2 + a2c is :...If f : R → R satisfies f(x + y) = f(x) + f(y), for all x, y ∈ R and f(1) = 7, then f(r) is...The average marks of boys in a class is 52 and that of girls is 42. The average marks of boys and girls combined is 50. ...