wiz-icon
MyQuestionIcon
MyQuestionIcon
2
You visited us 2 times! Enjoying our articles? Unlock Full Access!
Question

The plane containing the two lines x31=y24=z15andx21=y+34=z+15 is 11x + my + nz = 28, where

A
m = –1, n = 3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
m = 1, n = –3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
m = –1, n = –3
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
m = 1, n = 3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C m = –1, n = –3
Point (3, 2, 1) and (2, –3, –1)
lies on 11x + my + nz = 28
ie, 33 + 2m + n = 28
2m + n = – 5 . . .(i)
and 22 – 3m – n = 28
–3m – n = 6 . . .(ii)
From Eqs. (i) and (ii),
m = –1, n = –3

flag
Suggest Corrections
thumbs-up
3
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Angle between a Plane and a Line
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon