1
JEE Main 2018 (Online) 15th April Evening Slot
+4
-1
If  a,   b,   c  are in A.P. and  a2,  b2,  c2 are in G.P. such that
a < b < c and   a + b + c = $${3 \over 4},$$ then the value of a is :
A
$${1 \over 4} - {1 \over {4\sqrt 2 }}$$
B
$${1 \over 4} - {1 \over {3\sqrt 2 }}$$
C
$${1 \over 4} - {1 \over {2\sqrt 2 }}$$
D
$${1 \over 4} - {1 \over {\sqrt 2 }}$$
2
JEE Main 2018 (Online) 15th April Evening Slot
+4
-1
Out of Syllabus
Let    An = $$\left( {{3 \over 4}} \right) - {\left( {{3 \over 4}} \right)^2} + {\left( {{3 \over 4}} \right)^3}$$ $$-$$. . . . . + ($$-$$1)n-1 $${\left( {{3 \over 4}} \right)^n}$$    and    Bn = 1 $$-$$ An.
Then, the least dd natural numbr p, so that Bn > An , for all n$$\ge$$ p, is :
A
9
B
7
C
11
D
5
3
JEE Main 2018 (Online) 15th April Morning Slot
+4
-1
If x1, x2, . . ., xn and $${1 \over {{h_1}}}$$, $${1 \over {{h_2}}}$$, . . . , $${1 \over {{h_n}}}$$ are two A.P..s such that x3 = h2 = 8 and x8 = h7 = 20, then x5.h10 equals :
A
2560
B
2650
C
3200
D
1600
4
JEE Main 2018 (Online) 15th April Morning Slot
+4
-1
If b is the first term of an infinite G.P. whose sum is five, then b lies in the interval :
A
($$-$$ $$\infty$$, $$-$$10]
B
($$-$$10, 0)
C
(0, 10)
D
[10, $$\infty$$)
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