1
JEE Main 2016 (Online) 10th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
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
$$-$$ $$1365\,\sqrt 3 i$$
2
JEE Main 2016 (Online) 10th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
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
3
JEE Main 2016 (Online) 10th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
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
$${2 \over {\sqrt 3 }}$$
4
JEE Main 2016 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Let x, y, z be positive real numbers such that x + y + z = 12 and x3y4z5 = (0.1) (600)3. Then x3 + y3 + z3is equal to :
A
270
B
258
C
342
D
216
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