JEE Advanced 2016 Paper 1 Offline | JEE Advanced Year Wise Previous Years Questions

JEE Advanced 2016 Paper 1 Offline

MCQ (Single Correct Answer)

-1

Among [Ni(CO)₄], [NiCl₄]^2$$-$$, [Co(NH₃)₄)Cl₂]Cl, Na₃[CoF₆], Na₂O₂ and CsO₂, the total number of paramagnetic compound is

JEE Advanced 2016 Paper 1 Offline

MCQ (More than One Correct Answer)

-2

The correct statements about of the following reaction sequence is (are)

Cumene (C₉H₁₂) $$\mathrel{\mathop{\kern0pt\longrightarrow} \limits_{(ii)\,{H_3}{O^ + }}^{(i)\,{O_2}}} $$ P $$\mathrel{\mathop{\kern0pt\longrightarrow} \limits_{}^{CHC{l_3}/NaOH}} $$ Q (major) + R (minor)

Q $$\mathrel{\mathop{\kern0pt\longrightarrow} \limits_{PhC{H_2}Br}^{NaOH}} $$ S

R is steam volatile.

Q gives dark violet coloration with 1% aqueous FeCl₃ solution.

S gives yellow precipitate with 2, 4-dinitrophenylhydrazine.

S gives dark violet coloration with 1% aqueous FeCl₃ solution.

JEE Advanced 2016 Paper 1 Offline

MCQ (Single Correct Answer)

-1

Let $$S = \left\{ {x \in \left( { - \pi ,\pi } \right):x \ne 0, \pm {\pi \over 2}} \right\}.$$ The sum of all distinct solutions of the equation $$\sqrt 3 \,\sec x + \cos ec\,x + 2\left( {\tan x - \cot x} \right) = 0$$ in the set S is equal to

$$ - {{7\pi } \over 9}$$

$$ - {{2\pi } \over 9}$$

$${{5\pi } \over 9}$$

JEE Advanced 2016 Paper 1 Offline

MCQ (Single Correct Answer)

-1

Let $$ - {\pi \over 6} < \theta < - {\pi \over {12}}.$$ Suppose $${\alpha _1}$$ and $${\beta_1}$$ are the roots of the equation $${x^2} - 2x\sec \theta + 1 = 0$$ and $${\alpha _2}$$ and $${\beta _2}$$ are the roots of the equation $${x^2} + 2x\,\tan \theta - 1 = 0.$$ $$If\,{\alpha _1} > {\beta _1}$$ and $${\alpha _2} > {\beta _2},$$ then $${\alpha _1} + {\beta _2}$$ equals

$$2\left( {\sec \theta - \tan \theta } \right)$$

$$2\,\sec \,\theta $$

$$ - 2\tan \theta $$

$$0$$

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