1
JEE Main 2020 (Online) 9th January Morning Slot
+4
-1
Out of Syllabus
The product $${2^{{1 \over 4}}}{.4^{{1 \over {16}}}}{.8^{{1 \over {48}}}}{.16^{{1 \over {128}}}}$$ ... to $$\infty$$ is equal to :
A
$${2^{{1 \over 4}}}$$
B
$${2^{{1 \over 2}}}$$
C
1
D
2
2
JEE Main 2020 (Online) 8th January Evening Slot
+4
-1
If the 10th term of an A.P. is $${1 \over {20}}$$ and its 20th term is $${1 \over {10}}$$, then the sum of its first 200 terms is
A
100
B
$$100{1 \over 2}$$
C
$$50{1 \over 4}$$
D
50
3
JEE Main 2020 (Online) 8th January Morning Slot
+4
-1
Let ƒ : R $$\to$$ R be such that for all x $$\in$$ R
(21+x + 21–x), ƒ(x) and (3x + 3–x) are in A.P.,
then the minimum value of ƒ(x) is
A
2
B
0
C
3
D
4
4
JEE Main 2020 (Online) 7th January Evening Slot
+4
-1
Let $${a_1}$$ , $${a_2}$$ , $${a_3}$$ ,....... be a G.P. such that
$${a_1}$$ < 0, $${a_1}$$ + $${a_2}$$ = 4 and $${a_3}$$ + $${a_4}$$ = 16.
If $$\sum\limits_{i = 1}^9 {{a_i}} = 4\lambda$$, then $$\lambda$$ is equal to:
A
171
B
-171
C
-513
D
$${{511} \over 3}$$
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