Question
The length of the perpendicular drawn from the point (3,-1,11) to the line x 2 = y-2 3 = z-3 4 is :
BITSAT
Mathematics
Three Dimensional Geometry
2021
BITSAT 2021
BITSAT Mathematics Question (2021) — Solution
Options
- A. 29
- B. 33
- C. 53
- D. 66
Answer
C. 53
Step-by-step solution
Let feet of perpendicular is (2 , 3 +2,4 +3) Direction ratio of the line is 2 -3,3 +3,4 -8. and Direction ratio of the line are 2,3,4 2(2 -3)+3(3 +3)+4(4 -8)=0 =1 Feet of is (2,5,7) Length is 1^ 2 +6^ 2 +4^ 2 = 53
Related: Mathematics — Three Dimensional Geometry · All PYQ Banks