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

If lim _{x→a} (^{x 7 + a 7}⁄_{x + a}) , then the value of a is

A

1

B

7

C

-1

D

-7

Question 2

If a>0, the roots of the equation
log_{ a} ax + log_{ x} a^{2} + log_{ a2x} a^{3} = 0, are given by

A

a^{-(4/3)}

B

a^{-(3/4)}

C

a^{-(1/2)}

D

a^{-1}

Question 3

If (1 + x)^{n} = C_{0} + C_{1}x + C_{2}x^{2} + ................. + C_{n}x^{n} , where n is a positive integer, then