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

Angle between line
x51 = y22 = z82 and plane 2x+y+2z+5=0 is

A
cos1(89)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
sin1(89)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
cos1(19)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
sin1(19)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B sin1(89)
Direction ratios of line and the normal of the plane are (1,2,2) and (2,1,2) respectively.
Angle between line and normal of the plane is
cos(θ) = (1×2+2×1+2×2(12+22+22)×(22+12+22)∣ ∣cos(θ) = 89θ = cos1(89)
Angle between line and normal of the plane is cos1(89).
So, angle between the line and the plane is π2cos1(89)=sin1(89).

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