1
WB JEE 2008
MCQ (Single Correct Answer)
+1
-0.25

The sum of the infinite series $${\left( {{1 \over 3}} \right)^2} + {1 \over 3}{\left( {{1 \over 3}} \right)^4} + {1 \over 5}{\left( {{1 \over 3}} \right)^6} + ...$$ is

A
$${1 \over 4}{\log _e}2$$
B
$${1 \over 2}{\log _e}2$$
C
$${1 \over 6}{\log _e}2$$
D
$${1 \over 4}{\log _e}{3 \over 2}$$
2
WB JEE 2009
MCQ (Single Correct Answer)
+1
-0.25

If a, b, c are G.P. (a > 1, b > 1, c > 1), then for any real number x (with x > 0, x $$\ne$$ 1) logax, logbx, logcx are in

A
G.P.
B
A.P.
C
H.P.
D
G.P. but not in H.P.
3
WB JEE 2009
MCQ (Single Correct Answer)
+1
-0.25

If three positive real numbers a, b, c are in A.P. and abc = 4 then the minimum possible value of b is

A
23/2
B
22/3
C
21/3
D
25/2
4
WB JEE 2009
MCQ (Single Correct Answer)
+1
-0.25

For what value of m, $${{{a^{m + 1}} + {b^{m + 1}}} \over {{a^m} + {b^m}}}$$ is the arithmetic mean of a and b?

A
1
B
0
C
2
D
None of these
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