Trigonometry
Inverse Trigonometric Functions
MCQ (Single Correct Answer)Subjective
1
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
$${{3e} \over 2}$$
2
WB JEE 2025
MCQ (Single Correct Answer)
+1
-0.25

If the sum of ' $n$ ' terms of an A.P. is $3 n^2+5 n$ and its $m$ th term is 164 , then the value of $m$ is

A
26
B
27
C
28
D
29
3
WB JEE 2025
MCQ (Single Correct Answer)
+1
-0.25

The sum of the first four terms of an arithmetic progression is 56 . The sum of the last four terms is 112. If its first term is 11, then the number of terms is

A
10
B
11
C
12
D
13
4
WB JEE 2025
MCQ (Single Correct Answer)
+2
-0.5

If $a, b, c$ are in A.P. and if the equations $(b-c) x^2+(c-a) x+(a-b)=0$ and $2(c+a) x^2+(b+c) x=0$ have a common root, then

A
$a^2, b^2, c^2$ are in A.P.
B
$a^2, c^2, b^2$ are in A.P.
C
$c^2, a^2, b^2$ are in A.P.
D
$a^2, b^2, c^2$ are in G.P.
WB JEE Subjects