Trigonometry
Inverse Trigonometric Functions
MCQ (Single Correct Answer)Subjective
1
WB JEE 2010
MCQ (Single Correct Answer)
+1
-0.25

The value of n for which $${{{x^{n + 1}} + {y^{n + 1}}} \over {{x^n} + {y^n}}}$$ is the geometric mean of x and y is

A
$$n = - {1 \over 2}$$
B
$$n = {1 \over 2}$$
C
n = 1
D
n = $$-$$ 1
2
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
$$\sin \left( {{{A - C} \over 2}} \right)$$
3
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
4
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
$${{3e} \over 2}$$
WB JEE Subjects