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 (More than One Correct Answer)

-2

Consider a pyramid $$OPQRS$$ located in the first octant $$\left( {x \ge 0,y \ge 0,z \ge 0} \right)$$ with $$O$$ as origin, and $$OP$$ and $$OR$$ along the $$x$$-axis and the $$y$$-axis, respectively. The base $$OPQR$$ of the pyramid is a square with $$OP=3.$$ The point $$S$$ is directly above the mid-point, $$T$$ of diagonal $$OQ$$ such that $$TS=3.$$ Then

the acute angle between $$OQ$$ and $$OS$$ is $${\pi \over 3}$$

the equation of the plane containing the triangle $$OQS$$ is $$x-y=0$$

the length of the perpendicular from $$P$$ to the plane containing the triangle $$OQS$$ is $${3 \over {\sqrt 2 }}$$

the perpendicular distance from $$O$$ to the straight line containing $$RS$$ is $$\sqrt {{{15} \over 2}} $$

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