1
JEE Main 2017 (Offline)
+4
-1
Out of Syllabus
For any three positive real numbers a, b and c,

9(25$${a^2}$$ + b2) + 25(c2 - 3$$a$$c) = 15b(3$$a$$ + c).
Then
A
b, c and $$a$$ are in G.P.
B
b, c and $$a$$ are in A.P.
C
$$a$$, b and c are in A.P.
D
$$a$$, b and c are in G.P.
2
JEE Main 2016 (Online) 10th April Morning Slot
+4
-1
Out of Syllabus
Let z = 1 + ai be a complex number, a > 0, such that z3 is a real number.

Then the sum 1 + z + z2 + . . . . .+ z11 is equal to :
A
$$- 1250\,\sqrt 3 \,i$$
B
$$1250\,\sqrt 3 \,i$$
C
$$1365\,\sqrt 3 i$$
D
$$-$$ $$1365\,\sqrt 3 i$$
3
JEE Main 2016 (Online) 10th April Morning Slot
+4
-1
Let a1, a2, a3, . . . . . . . , an, . . . . . be in A.P.

If a3 + a7 + a11 + a15 = 72,

then the sum of its first 17 terms is equal to :
A
306
B
153
C
612
D
204
4
JEE Main 2016 (Online) 10th April Morning Slot
+4
-1
If   A > 0, B > 0   and    A + B = $${\pi \over 6}$$,

then the minimum value of tanA + tanB is :
A
$$\sqrt 3 - \sqrt 2$$
B
$$2 - \sqrt 3$$
C
$$4 - 2\sqrt 3$$
D
$${2 \over {\sqrt 3 }}$$
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