Statement -1 : The point A(3, 1, 6) is the mirror image of the point B(1, 3, 4) in the plane x – y + z = 5.
Statement -2 : The plane x – y + z = 5 bisects the line segment joining A(3, 1,6) and B(1, 3, 4).
Text Solution
Verified by ExpertsA
Sol. Let image be ( α, β, γ )
= 
= 
= – 2 
⇒ 
= 
= 
= 2
⇒ α = 3, β = 1, γ = 6
⇒ A(3, 1, 6) statement 1 is true
Now midpoint of A(3, 1, 6) and B(1, 3, 4) is (2, 2, 5)
equation of plane is x – y + z = 5
coordinates of midpoint lies on the plane so plane bisects the line segment AB. But it is not correct explanation of statement-1
Hence correct option 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