wiz-icon
MyQuestionIcon
MyQuestionIcon
4
You visited us 4 times! Enjoying our articles? Unlock Full Access!
Question

If a line which passes through the point A(0,1,2) and makes angle π4,π4,π2 with x,y,&z axes respectively. The line meets the plane x+y+z=0 at point B. The length 2AB is equal to

A
3
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
4
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
32
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 3
The D.C. of the line are (12,12,0)
any point on the line at a distance λ from A(0,1,2)
is (0+λ2,1+λ2,2+λ.0)
which lies on x+y+z=0
λ2+(1+λ2)+2=0
2λ2=3λ=32
B=(32,12,2)
A=(0,1,2)&B(32,12,2)
AB=94+94=322=32

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Geometrical Interpretation of a Derivative
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon