Date: 08 Apr 2018 JEE - MAIN OFFICIAL EXAM - 2018 … IIT ACADEMY / JEE - MAIN OFFICIAL EXAM - 2018...

RAO IIT ACADEMY / JEE - MAIN OFFICIAL EXAM - 2018 / CODE - C / Solutions

JEE - MAIN

CODE - C

Solutions

Date: 08 Apr 2018

1. Di�iculty : Easy

Topics :

Ionic equilibrium,

Rao IIT Academy Website : www.raoiit.com1

OFFICIAL EXAM - 2018



Topics :

PRACTICAL ORGANIC CHEMISTRY,

To estimate by using kjeldhals method, given organic compound must contain bond.So aniline is ans for given question.


Topics :

Chemical Bonding,

Lewis Acids means molecules having incomplete octet configuration is shown by Electron Rich : Octet configuration :

4. Di�iculty : Medium

Topics :

Phenols,


Topics :

Volumetric analysis,

range of methly orange is Thus it colour changes from yellow to pinkish red. Initially in basic solution is shows yellow color but as we approachesequivalence/end point is color changes to pinkish red.




Topics :

Ionic equilibrium,

7.Di�iculty : Medium

Topics :Thermodynamics,


Topics :

P-block,

does not undergo thermal decomposition.




Topics :

Electrochemistry,

mass mole

mole of react

.


Topics :

Chemical Bonding,

radical contains lone pairs in total. lone pair.


Topics :

P-block,

White gelatinous ppt.




Topics :

Chemical Bonding,

Not a viable molecule means that bond order is zero or negative total no. of electrons = 4


Topics :

GOC,

is less basic than

is least basic.

14.Di�iculty : Easy

Topics :

Solid State,

In frenkel defect Cations migrate from its lattice position to interstitial sites.




Topics :

Chemical Bonding,

Covalent bond.

Covalent bond.

Covalent bond.

16. Di�iculty : Di�icult

Topics :

Coordination Compounds,

Complex Oxidationstate of Cr Ligand Nature

Neutral

Neutral

Anionic

Neutral


Topics :

Hydrogen & Its compound,

Hence can be used as oxidant as well as reductant

Acidic Medium :

Basic Medium :




Topics :

BIOMOLECULES ,

is reducing agent it can reduce aldehyde and alcohols.


Topics :

AMINES,

Human blood is bu�er solution.

Histamine is

Human blood ,

Histamine amine is in protinated form


Topics :

Environmental Chemistry,

The (fluoride) ions make the enamel on teeth much harder by converting hydroxypatite

the enamel on the surface of the teeth, into much harder fluropatite



21.Di�iculty : Di�icult

Topics :

Coordination Compounds,


Topics :

Hydrocarbon,

It is birch reducing. In birch reduction trans alkenes are formed.


Topics :

Mole concept,

......(1)

E.F. of compound




Topics :

Phenols,

25.Di�iculty : Di�icult

Topics :

Ethers,

Bulky R-X undergo elimination reaction with


Topics :

Chemical Kinetics,

(Exothermic )

Slope

graph & are possible


Topics :

Ethers,

Phenolic group does not react with




Topics :Ionic equilibrium,

When the solution begins to PPl

in

Initial in is


Topics :

Chemical Kinetics,


Topics :

Solutions,

Thus lesser the no. of particles/ions higher will be the freezing point.


RAO IIT ACADEMY / JEE - MAIN OFFICIAL EXAM - 2018 / CODE - C / SOLUTIONS


Topics :

Indefinite integration,


Topics :

Conic Sections,

will be chord of contact

Hence take




Topics :

Conic Sections,


Topics :Vectors,

Alternately, vector to & in the plane of will be




Topics :

Complex Numbers,


Topics :

Area under curve,


Topics :Binomial Theorem,

38. Di�iculty : MediumTopics :Sequence & Series,




Topics :

STATISTICS,

Take standard deviation of will be same as standard deviation of


Topics :

Height & Distance,




Topics :

Ellipse,SETS, RELATION AND FUNCTIONS,

will be a inside of a square & B will be inside of an ellipse as shown

As point (4,4) & (4,6) are inside the ellipse


Topics :

Permutations & Combinations,



43. Di�iculty : MediumTopics :Functions,

Let

using A.M., G.M.


Topics :

Limits,

so,

Now taking limits on each

So




Topics :

Definite integration,

_____(1),

_____ (2)

(using

(1) + (2)

_______ (3)

_______ (4)

(3) + (4)


Topics :

Probability,

Probability of drawn ball is red




Topics :

Three Dimensional Geometry,Plane,

DR of AB DR of normal of the plane . If be the angle be made by the line segment AB with normal, then

Length of projection of on given plane is


Topics :

Trigonometric Ratios & Identities,

as , then

Hence sum of all values of

so value

of

is




Topics :

Straight lines,Locus and its Equation,

Equation of the line is

as lies on the line, so

hence locus of the point R is

Note that the given option is not the equation of the locus but rather a superset of it as origin does not lie on the locus but itsatisfies the given option.


Topics :

Sequence & Series,

similarly

Now

So




Topics :

Application of derivatives,Orthogonal trajectory,Parabola,Ellipse,

(say)

(say)

as

(using )


Topics :

Equation of Straight lines,CO-ORDINATE GEOMETRY,

which is the diameter of the circle so radius of the circle is


Topics :

ContinuityDi�erentiability & Derivatives,

has a double root at & at

Because at both & have root hence will have a double root.

Similarly at & both & have root hence will have a double root.

Double root implies function is di�erentiable at both . Hence will be an empty set.



54. Di�iculty : EasyTopics :Determinants & Matrices,

So and

Hence order pair of


Topics :

Mathematical reasoning,

Alternately

T T F T F F FT F F T F F FF T T T F T TF F T F T F T From the truth table, it is clear that




Topics :

Solutions of simultaneous Equations,Determinants & Matrices,

from (i) and (ii) also

using (iii)

Now,


Topics :

Quadratic Equations,Modulus Function,

case I :

Case II :

Now,

so finally , two solutions.




Topics :

Application of derivatives,Circles,Condition of tangency,Parabola,

Slope of tangent to at will be

equation of tangent will be

which touches the circle

distance of from will be radius


Topics :

Di�erential Equations,

. As




Topics :

Three Dimensional Geometry,Family of Planes,

The plane will pass through the intersection of & .Hence its equation will be i.e. Similarly this plane will pass through the intersection of & hence its equation will be

i.e. as (i) & (ii) represent same plane

solving

equation of plane is

whose distance from origin



Topics :

Wave optics,



Topics :

Modern Physics,


Topics :

Semiconductors,


Topics :

Errors,



65. Di�iculty : MediumTopics :MAGNETISM,


Topics :Electrostatics,


Topics :

Friction,




Topics :

Work ,Energy and power,

69.Di�iculty : MediumTopics :Capacitors,


Topics :

Simple harmonic motion,




Topics :Collisions,

___________________

fractional loss =

loss




Topics :MAGNETISM,


Topics :

Current electricity,


Topics :

Communication systems,

10% of



75. Di�iculty : MediumTopics :Wave optics,


Topics :Current electricity,


Topics :

Rotational Motion,




Topics :

Collisions,kinetic energy is 50%


Topics :Electromagnetic waves,


Topics :

Alternating current,

Quality factor


Topics :

Kinematics,



82. Di�iculty : EasyTopics :Current electricity,


Topics :Gravitation,


Topics :

Modern Physics,



85. Di�iculty : MediumTopics :Alternating current,


Topics :

Thermodynamics,

(a)

(b)




Topics :

Elasticity,


Topics :

Oscillations and Waves,


Topics :

Kinetic theory of gases,




Topics :

Rotational Motion,


Date: 08 Apr 2018 JEE - MAIN OFFICIAL EXAM - 2018 … IIT ACADEMY / JEE - MAIN OFFICIAL EXAM - 2018...

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