If the length of the perpendicular drawn from the point P(a, 4, 2), a > 0 on the line 
is 
units and Q( 
1 , 
2 , 
3 )is the image of the point P in this line, then 
is equal to :
Text Solution
Verified by ExpertsB
(2 
- 1 - a)2 + (3 
- 1)3 + (- 
- 1) (-1) = 0
4 
-2-2a + 9 
-3+ 
+ l=0
14 
- 4 - 2a = 0
7 
- 2 - a = 0
and,
(2 
- 1 - a) 2 + (3 
- 1) 2 + ( 
+ 1) 2 = 24
(5 
- 1) 2 + (3 
- 1) + ( 
+ 1) 2 = 24
For, 
Let 
be reflection of point P
1 + 5=2 
2 + 4 = 12 
3 +2 = 0
1 = - 3 
2 = 8 
3 = - 2
a + 
1 + 
2 + 
3 = 8
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