CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Let the line x23=y15=z+22 lie in the plane x+3yαz+β=0. Then (α,β) equals :

A
(6,7)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
(5,15)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
(5,5)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
(6,17)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A (6,7)
The line is x23=y15=z+22

The direction ratios of the line are (3,5,2)

As the line is in the plane x+3yaz+β=0,

We have (3)(1)+(5)(3)+2(α)=0

122α=0

α=6

Again (2,1,2) lies on the plane

2+3+2α+β=0

β=2α5=125=7

Hence, (α,β) is (6,7)

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Foot of the Perpendicular from a Point on a Plane
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon