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Question

Let a,bR. If the mirror image of the point P(a,6,9) with respect to the line x37=y25=z19 is (20,b,a9), then |a+b| is equal to 
  1. 86
  2. 88
  3. 84
  4. 90


Solution

The correct option is B 88
P(a,6,9),Q(20,b,a9)
Mid point of PQ=(a+202,b+62,a2) lie on the line.
a+20237=b+6225=a219
a+20614=b+6410=a218
a+1414=a+218
18a+252=14a+28
4a=224
a=56

b+210=a+218
b+210=5418
b+210=3b=32
|a+b|=|5632|=88

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