Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The length of the perpendicular drawn from the point (3, –1, 11) to the line 
= 
= 
is :
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
C
Let feet of perpendicular is (2 α , 3 α + 2, 4 α + 3)
⇒ D ′ ratio of the perpendicular line < 2 α – 3, 3 α + 3, 4 α – 8 >
and D ′ ratio of the line < 2, 3, 4 >
⇒ 2(2 α – 3) + 3 (3 α + 3) + 4 (4 α – 8) = 0
⇒ 29 α – 29 = 0
⇒ α = 1
⇒ feet of perpendicular is (2, 5, 7)
⇒ length perpendicular is 
= 
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
If , , are non-coplanar vectors and p, q are real numbers, then the equality [3 p p ] – [p …
Let the line = = lies in the plane x + 3y – α z + β = 0. Then ( α , β ) equals
The projections of a vector on the three coordinate axes are 6, –3, 2 respectively. The direction c…
Let and . Then the vector satisfying and is
If the vectors , and are mutually orthogonal, then ( λ , µ) =
Statement -1 : The point A(3, 1, 6) is the mirror image of the point B(1, 3, 4) in the plane x – y …