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

If the lines {¯r(2^i3^j+4^k)}.{(1p)^i+3^j4^k}=0 and {¯r(3^i4^j+5^k)}.{2^i4^j+5^k}=0 are coplanar, then the value of p is

A
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
4
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 2
The first line passes through 2^i3^j+4^k and perpendicular to (1p)^i+3^j4^k
The second line passes thought 3^i4^j+5^k and perpendicular to 2^i4^j+5^k.
Hence, the condition for the planes to be coplanar is
∣ ∣324+354(1p)34245∣ ∣=0
p=2

flag
Suggest Corrections
thumbs-up
0
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