1
IIT-JEE 1991
Subjective
+1
-0

Write the IUPAC name for the following :

IIT-JEE 1991 Chemistry - Basics of Organic Chemistry Question 14 English
2
IIT-JEE 1991
Fill in the Blanks
+2
-0
The value of
$$\sin {\pi \over {14}}\sin {{3\pi } \over {14}}\sin {{5\pi } \over {14}}\sin {{7\pi } \over {14}}\sin {{9\pi } \over {14}}\sin {{11\pi } \over {14}}\sin {{13\pi } \over {14}}$$ is equal to ______.
3
IIT-JEE 1991
Subjective
+4
-0
If $$\exp \,\,\,\left\{ {\left( {\left( {{{\sin }^2}x + {{\sin }^4}x + {{\sin }^6}x + \,\,\,..............\infty } \right)\,In\,\,2} \right)} \right\}$$ satiesfies the equation $${x^2} - 9x + 8 = 0,$$ find the value of $${{\cos x} \over {\cos x + \sin x}},\,0 < x < {\pi \over 2}.$$
4
IIT-JEE 1991
MCQ (Single Correct Answer)
+2
-0.5
The product of $$n$$ positive numbers is unity. Then their sum is
A
a positive integer
B
divisible by $$n$$
C
equal to $$n + {1 \over n}$$
D
never less than $$n$$
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