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 2023
MCQ (Single Correct Answer)
+1
-0.25
Change Language

If the n terms $${a_1},{a_2},\,......,\,{a_n}$$ are in A.P. with increment r, then the difference between the mean of their squares & the square of their mean is

A
$${{{r^2}\{ {{(n - 1)}^2} - 1\} } \over {12}}$$
B
$${{{r^2}} \over {12}}$$
C
$${{{r^2}({n^2} - 1)} \over {12}}$$
D
$${{{n^2} - 1} \over {12}}$$
4
WB JEE 2023
MCQ (Single Correct Answer)
+1
-0.25
Change Language

If $$1,{\log _9}({3^{1 - x}} + 2),{\log _3}({4.3^x} - 1)$$ are in A.P., then x equals

A
$${\log _3}4$$
B
$$1 - {\log _3}4$$
C
$$1 - {\log _4}3$$
D
$${\log _4}3$$
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