1
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
2
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
$${{511} \over 3}$$
3
JEE Main 2020 (Online) 7th January Evening Slot
+4
-1
Out of Syllabus
If the sum of the first 40 terms of the series,
3 + 4 + 8 + 9 + 13 + 14 + 18 + 19 + ..... is (102)m, then m is equal to :
A
20
B
5
C
10
D
25
4
JEE Main 2020 (Online) 7th January Morning Slot
+4
-1
Five numbers are in A.P. whose sum is 25 and product is 2520. If one of these five numbers is -$${1 \over 2}$$ , then the greatest number amongst them is:
A
$${{21} \over 2}$$
B
27
C
7
D
16
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