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  1. If   x +
    1
    		 = c +
    1
    		 then the value of x is
    xc
    1. c
      1
      c
    2. c, c2
    3. c, 2c
    4. 0, 1
Correct Option: A

x +
1
 = c +
1
xc

⇒  x – c =
1
 –
1
cx

⇒  x – c =
x – c
xc

⇒  (x – c) –
x – c
 = 0
xc

⇒  (x – c) 1 –
1
 = 0
xc

⇒  x – c = 0 ⇒ x = c
or,   1 –
1
 = 0
xc

⇒ 
1
 = 1 ⇒ xc = 1
xc

⇒  x =
1
c

⇒  x = c,
1
c


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