1
JEE Main 2019 (Online) 11th January Evening Slot
+4
-1
If 19th term of a non-zero A.P. is zero, then its (49th term) : (29th term) is :
A
2 : 1
B
4 : 1
C
1 : 3
D
3 : 1
2
JEE Main 2019 (Online) 11th January Evening Slot
+4
-1
Let x, y be positive real numbers and m, n positive integers. The maximum value of the expression $${{{x^m}{y^n}} \over {\left( {1 + {x^{2m}}} \right)\left( {1 + {y^{2n}}} \right)}}$$ is :
A
$${1 \over 2}$$
B
$${1 \over 4}$$
C
$${{m + n} \over {6mn}}$$
D
1
3
JEE Main 2019 (Online) 11th January Morning Slot
+4
-1
The sum of an infinite geometric series with positive terms is 3 and the sum of the cubes of its terms is $${{27} \over {19}}$$.Then the common ratio of this series is :
A
$${4 \over 9}$$
B
$${1 \over 3}$$
C
$${2 \over 3}$$
D
$${2 \over 9}$$
4
JEE Main 2019 (Online) 11th January Morning Slot
+4
-1
Let a1, a2, . . . . . ., a10 be a G.P.    If $${{{a_3}} \over {{a_1}}} = 25,$$ then $${{{a_9}} \over {{a_5}}}$$ equals
A
53
B
2(52)
C
4(52)
D
54
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