wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Statement-I: The point A(3,1,6) is the mirror image of the point B(1,3,4) in the plane xy+z=5.
Statement-2: The plane xy+z=5 bisects the line segment joining A(3,1,6) and B(1,3,4).


A
(1 ) StatementI is true. Statement-1 is true: Statement--2 is a correct explanation for Statement-1.
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
(2) StatementI is true, Statement-2 is true: Statement-9 is not a correct explanation for statement-1.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
(3) Statement--I is true, Statement-2 is false.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
(4) StatementI is false. Statement-2 is true.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A (1 ) StatementI is true. Statement-1 is true: Statement--2 is a correct explanation for Statement-1.
Mid-point of AB==(3+12,1+32,4+62)=(2,2,5)
lies on the plane as it satisfies the equation of the plane
and DR s of AB =(2,2,2)
DR s of normal to the plane =(1,1,1)
AB is the perpendicular bisector.
Hence, A is the image of 2

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Introduction
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon