WBJEE  Mathematics (Category  2) Model Test
Start
Congratulations  you have completed WBJEE  Mathematics (Category  2) Model Test.
You scored %%SCORE%% out of %%TOTAL%%.
Your performance has been rated as %%RATING%%
Your answers are highlighted below.
Question 1 
The positive value of λ for which the lines y – 2x – 6 = 0, 3y + x – 4 = 0, λy + 4x + λ^{2} = 0 are concurrent is
A  λ = 2 
B  λ = 3 
C  λ = 4 
D  λ = 5 
Question 2 
If y = 4x – 5 is tangent to the curve y^{2} = px^{3} + q at (2,3), then
A  p = 2, q = 7

B  p = 2, q = 7 
C  p = 2, q = 7 
D  p = 2, q = 7 
Question 3 
If f (x) + f (y) = f (x + y) and ∫^{3}_{0} f (x) dx = λ then ∫^{3}_{3} f (x) dx =
A  2λ 
B  2λ 
C  0 
D  ½ 
Question 4 
The area bounded by y = tan(x), y = cot(x) and xaxis in 0 ≤ x ≤ π/2
A  3log_{e}2 
B  log_{e}2 
C  2log_{e}2 
D  5log_{e}2 
Question 5 
The ratio of the greatest value of 2 – cosx + sin^{2}x to its least value is
A  5/4

B  9 / 4 
C  13 / 4 
D  15 / 4 
Question 6 
Let ^{nPr  1} ⁄ _{a} = ^{nPr} ⁄ _{b} = ^{nPr + 1} ⁄ _{c} , then which of the following hold good
A  c^{2} = a (b + c) 
B  a^{2} = c (a + b) 
C  b^{2} = a (b + c) 
D  (1 / a + 1 / b + 1 / c) = 1 
Question 7 
If x = (1 + i) / 2 (where i = √1 ), then the expression 2x^{4} – 2x^{2} + x + 3 equals
A  3 + i/2 
B  3 – i/2 
C  (3 + i)/2 
D  (3 – i)/2 
Question 8 
Let f (2) = 4 and f ’ (2) = 2. Then lim_{x→ 2} (^{ x f (2)  2f (x) }⁄_{ (x2) }) is equal to
A  8 
B  4 
C  0 
D  4 
Question 9 
If the normal at the point “t_{1}” on the curve xy = c^{2} meets the curve again at “t_{2}”, then
A  (t_{1})^{3}t_{2} = 1 
B  (t_{1})^{3}t_{2} = 1 
C  (t_{2})^{3}t_{1} = 1 
D  (t_{2})^{3}t_{1} = 1 
Question 10 
Let f (x) = (e^{x} + 1)/ (e^{x} + 1) and ∫^{1}_{0} x (^{ex + 1}⁄_{ex  1}) dx = λ , then ∫^{1}_{1} t f (t) dt equals
A  0 
B  2λ 
C  λ 
D  3λ 
Once you are finished, click the button below. Any items you have not completed will be marked incorrect.
Get Results
There are 10 questions to complete.
← 
List 
→ 
Return
Shaded items are complete.
1  2  3  4  5 
6  7  8  9  10 
End 
Return
You have completed
questions
question
Your score is
Correct
Wrong
PartialCredit
You have not finished your quiz. If you leave this page, your progress will be lost.
Correct Answer
You Selected
Not Attempted
Final Score on Quiz
Attempted Questions Correct
Attempted Questions Wrong
Questions Not Attempted
Total Questions on Quiz
Question Details
Results
Date
Score
Hint
Time allowed
minutes
seconds
Time used
Answer Choice(s) Selected
Question Text
All done
Need more practice!
Keep trying!
Not bad!
Good work!
Perfect!