JEE Main 2017 (Offline) | Sequences and Series Question 180 | Mathematics

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JEE Main 2017 (Offline)

MCQ (Single Correct Answer)

-1

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

b, c and $$a$$ are in G.P.

b, c and $$a$$ are in A.P.

$$a$$, b and c are in A.P.

$$a$$, b and c are in G.P.

JEE Main 2016 (Online) 10th April Morning Slot

MCQ (Single Correct Answer)

-1

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 :

$$ - 1250\,\sqrt 3 \,i$$

$$ 1250\,\sqrt 3 \,i$$

$$1365\,\sqrt 3 i$$

$$-$$ $$1365\,\sqrt 3 i$$

JEE Main 2016 (Online) 10th April Morning Slot

MCQ (Single Correct Answer)

-1

Let a₁, a₂, a₃, . . . . . . . , a_n, . . . . . be in A.P.

If a₃ + a₇ + a₁₁ + a₁₅ = 72,

then the sum of its first 17 terms is equal to :

306

153

612

204

JEE Main 2016 (Online) 10th April Morning Slot

MCQ (Single Correct Answer)

-1

If A > 0, B > 0 and A + B = $${\pi \over 6}$$,

then the minimum value of tanA + tanB is :

$$\sqrt 3 - \sqrt 2 $$

$$2 - \sqrt 3 $$

$$4 - 2\sqrt 3 $$

$${2 \over {\sqrt 3 }}$$

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