Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If the image of the point P(1, –2, 3) in the plane, 2x + 3y – 4z + 22 = 0 measured parallel to the line, 
= 
= 
is Q, then PQ is equal to :
A
3 
B
2 
C
D
6 
Text Solution
Verified by ExpertsThe correct answer is:
B
Sol. Let R be the point of intersection of plane and line passing through P and parallel to given line.
So, R is (1 + λ , – 2 + 4 λ , 3 + 5 λ )
substituting co-ordinates of R in plane
2 + 2 λ – 6 + 12 λ – 12 – 20 λ + 22 = 0 ⇒ 6 λ = 6 ⇒ λ = 1
So , R is (2,2,8)
Hence PR = 
= 
So , PQ = 
──────────────────────────────────────────────────────────────────────────────────────────
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 …