1
WB JEE 2010
MCQ (Single Correct Answer)
+1
-0.25

If angles A, B and C are in A.P., then $${{a + c} \over b}$$ is equal to

A
$$2\sin \left( {{{A - C} \over 2}} \right)$$
B
$$2\cos \left( {{{A - C} \over 2}} \right)$$
C
$$\cos \left( {{{A - C} \over 2}} \right)$$
D
$$\sin \left( {{{A - C} \over 2}} \right)$$
2
WB JEE 2010
MCQ (Single Correct Answer)
+1
-0.25

The value of $${2 \over {3!}} + {4 \over {5!}} + {6 \over {7!}} +$$ ............ is

A
e1/2
B
e$$-$$1
C
e
D
e1/3
3
WB JEE 2012
MCQ (Single Correct Answer)
+1
-0.33
The value of $$\sum\limits_{r = 2}^\infty {{{1 + 2 + .... + (r - 1)} \over {r!}}}$$
A
e
B
2e
C
$${e \over 2}$$
D
$${{3e} \over 2}$$
4
WB JEE 2024
MCQ (Single Correct Answer)
+1
-0.25

Given an A.P. and a G.P. with positive terms, with the first and second terms of the progressions being equal. If $$a_n$$ and $$b_n$$ be the $$n^{\text {th }}$$ term of A.P. and G.P. respectively then

A
$$a_n>b_n$$ for all $$n>2$$
B
$$a_n< b_n$$ for all $$n>2$$
C
$$a_n=b_n$$ for some $$n>2$$
D
$$a_n=b_n$$ for some odd $$n$$
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