Category III (2 marks, 1 or more than 1 correct answer)
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Congratulations - you have completed WBJEE - Mathematics (Category - 3) Model Test.
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Question 1
Let f (x) = x2 + xg′(1) + g″(2) and g(x) = x2 + xf ′(2) + f ″(3), then
A
f ′(1) = 4 + f ′(2)
B
g ′(2) = 8 + g ′(1)
C
g '' (2) + f ″ (2) = 4
D
f ′(1) + g ′(1) = 3
Question 2
The value of the integral ∫10 e x 2 is
A
< 1
B
> 1
C
< e
D
> e
Question 3
If (1 + x)n = C0 + C1x + C2x2 + ................. + Cnxn , where n is a positive integer, then
