WBJEE Previous Year Question Paper - 2022 | WBJEE Sample Papers, Section Wise & Full Mock Tests 2026 PDF Download

 Page 1


WBJEE 2022 Solved Paper
Mathematics
Question 1
The values of a, b, c for which the function
 is continuous at x = 0, are
Options:
A.
B.
 is arbitrary non-zero real number.
C.
D.
Answer: D
Solution:
For continuous at x = 0,
Page 2


WBJEE 2022 Solved Paper
Mathematics
Question 1
The values of a, b, c for which the function
 is continuous at x = 0, are
Options:
A.
B.
 is arbitrary non-zero real number.
C.
D.
Answer: D
Solution:
For continuous at x = 0,
= 0 (when b  0)
And  (given)
We know, for continuous function
 
 c = 0, a = 2
and b = R  {0}
-------------------------------------------------------------------------------------------------
Question 2
Domain of  is
Options:
A.
x < 1
B.
2 < x
C.
1  x  2
D.
2 < x < 3
Answer: C
Page 3


WBJEE 2022 Solved Paper
Mathematics
Question 1
The values of a, b, c for which the function
 is continuous at x = 0, are
Options:
A.
B.
 is arbitrary non-zero real number.
C.
D.
Answer: D
Solution:
For continuous at x = 0,
= 0 (when b  0)
And  (given)
We know, for continuous function
 
 c = 0, a = 2
and b = R  {0}
-------------------------------------------------------------------------------------------------
Question 2
Domain of  is
Options:
A.
x < 1
B.
2 < x
C.
1  x  2
D.
2 < x < 3
Answer: C
Solution:
  ...... (1)
Also, 
 ...... (2)
 Intersection of (1) and (2) is 
-------------------------------------------------------------------------------------------------
Question 3
Let , where  are
real constants. Then f(x) is differentiable at x = 0
Options:
A.
whatever be .
B.
for no values of .
C.
only if 
D.
only if 
Page 4


WBJEE 2022 Solved Paper
Mathematics
Question 1
The values of a, b, c for which the function
 is continuous at x = 0, are
Options:
A.
B.
 is arbitrary non-zero real number.
C.
D.
Answer: D
Solution:
For continuous at x = 0,
= 0 (when b  0)
And  (given)
We know, for continuous function
 
 c = 0, a = 2
and b = R  {0}
-------------------------------------------------------------------------------------------------
Question 2
Domain of  is
Options:
A.
x < 1
B.
2 < x
C.
1  x  2
D.
2 < x < 3
Answer: C
Solution:
  ...... (1)
Also, 
 ...... (2)
 Intersection of (1) and (2) is 
-------------------------------------------------------------------------------------------------
Question 3
Let , where  are
real constants. Then f(x) is differentiable at x = 0
Options:
A.
whatever be .
B.
for no values of .
C.
only if 
D.
only if 
Answer: C
Solution:
Given,
 
 is differentiable at 
 
-------------------------------------------------------------------------------------------------
Question 4
If , then
Options:
A.
B.
C.
D.
Answer: A
Page 5


WBJEE 2022 Solved Paper
Mathematics
Question 1
The values of a, b, c for which the function
 is continuous at x = 0, are
Options:
A.
B.
 is arbitrary non-zero real number.
C.
D.
Answer: D
Solution:
For continuous at x = 0,
= 0 (when b  0)
And  (given)
We know, for continuous function
 
 c = 0, a = 2
and b = R  {0}
-------------------------------------------------------------------------------------------------
Question 2
Domain of  is
Options:
A.
x < 1
B.
2 < x
C.
1  x  2
D.
2 < x < 3
Answer: C
Solution:
  ...... (1)
Also, 
 ...... (2)
 Intersection of (1) and (2) is 
-------------------------------------------------------------------------------------------------
Question 3
Let , where  are
real constants. Then f(x) is differentiable at x = 0
Options:
A.
whatever be .
B.
for no values of .
C.
only if 
D.
only if 
Answer: C
Solution:
Given,
 
 is differentiable at 
 
-------------------------------------------------------------------------------------------------
Question 4
If , then
Options:
A.
B.
C.
D.
Answer: A
Solution:
Differentiating both sides with respect to x, we get
Differentiating both side with respect to x, we get
-------------------------------------------------------------------------------------------------
Question 5
 is
Options:
A.
B.
0
C.
1
D.
does not exist
Answer: C
Solution: