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

If x-coordinate of a point P on the line joining the points Q(2,2,1) and R(5,1,2) is 4 then the z-coordinate of P is

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

The correct option is A 1
For the line segment QR, let P point divide in ratio λ:1, the coordinates aof P are :

X coordinate=λx2+x1λ+1

y=Y coordinate =λy2+y1λ+1

According to question,
(x1,y1,z1)=(2,2,1) and (x2,y2,z2)=(5,1,2)

Since X=4

4=5λ+2λ+1

4λ+4=5λ=2
λ=2

Z coordinate of P =λz2+z1λ+1
=2×(2)+12+1
4+13=1

Option B is correct

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Straight Line
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon