1
JEE Main 2020 (Online) 6th September Morning Slot
+4
-1
Let a , b, c , d and p be any non zero distinct real numbers such that
(a2 + b2 + c2)p2 – 2(ab + bc + cd)p + (b2 + c2 + d2) = 0. Then :
A
a, c, p are in G.P.
B
a, b, c, d are in G.P.
C
a, b, c, d are in A.P.
D
a, c, p are in A.P.
2
JEE Main 2020 (Online) 5th September Evening Slot
+4
-1
If the sum of the second, third and fourth terms of a positive term G.P. is 3 and the sum of its sixth, seventh and eighth terms is 243, then the sum of the first 50 terms of this G.P. is :
A
$${2 \over {13}}\left( {{3^{50}} - 1} \right)$$
B
$${1 \over {13}}\left( {{3^{50}} - 1} \right)$$
C
$${1 \over {26}}\left( {{3^{49}} - 1} \right)$$
D
$${1 \over {26}}\left( {{3^{50}} - 1} \right)$$
3
JEE Main 2020 (Online) 5th September Evening Slot
+4
-1
If the sum of the first 20 terms of the series
$${\log _{\left( {{7^{1/2}}} \right)}}x + {\log _{\left( {{7^{1/3}}} \right)}}x + {\log _{\left( {{7^{1/4}}} \right)}}x + ...$$ is 460,
then x is equal to :
A
e2
B
71/2
C
72
D
746/21
4
JEE Main 2020 (Online) 5th September Morning Slot
+4
-1
If 210 + 29.31 + 28 .32 +.....+ 2.39 + 310 = S - 211, then S is equal to :
A
$${{{3^{11}}} \over 2} + {2^{10}}$$
B
311 — 212
C
2.311
D
311
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