Let 
and 
be functions defined by
and 
Let 
. Define the function by
Match each entry in List-I to the correct entry in List-II.
List-I | List-II | ||
(P) | If and , then | is one-one | |
If and , then | is onto. | ||
(R) | If and , then | is differentiable on . | |
If and | the range of is | ||
the range of is |
The correct option is
(4) (Q) 
(3) (R) 
(1) (S) 
(2) 
(5) (Q) 
(2) (R) 
(4) (S) 
(3) 
(5) (Q) 
(3) (R) 
(2) (S) 
(4) 
(4) (Q) 
(2) (R) 
(1) (S) 
(3)
Text Solution
Verified by ExpertsC
Now, option (P), at 
has range 
(P) 
(5)
Option (Q) at 
as 
is differentiable at 
and all other points 
is differentiable as product of two differentiable functions
Option (R)
by graph has range
and onto 
(S) at 
has range 
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