Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The co-ordinates of a point on the line
= 
= z at a distance 4 
from the point
(1, –1, 0) are -
A
(9, –13, 4)
B
(8 
+ 1, –12 
– 1, 4 
)
+ 1, –12 – 1, 4 )
C
(–7, 11, –4)
D
(–8 
+ 1, 12 
– 1, – 4 
)
+ 1, 12 – 1, – 4 )
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(a, c)
The coordinates of a point on the given line are
(2r + 1, –3r – 1, r)
The distance of this point from the point
(1, –1, 0) is given to be 4 
.
⇒ (2r) 2 + (–3r) 2 + (r) 2 = (4 
) 2 ⇒ 14r
2 = 16 × 14
⇒ r = ± 4
So the coordinates of the required point are
(9, – 13, 4) or (–7, 11, –4)
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