JEE MAIN Date: 10 Jan 2019 OFFICIAL ONLINE …...RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM /...

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RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions / JEE MAIN OFFICIAL ONLINE EXAM / 10 January19 Slot II / Solutions Date: 10 Jan 2019 Rao IIT Academy Website : www.raoiit.com 1

Transcript of JEE MAIN Date: 10 Jan 2019 OFFICIAL ONLINE …...RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM /...

Page 1: JEE MAIN Date: 10 Jan 2019 OFFICIAL ONLINE …...RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions 5. Diiculty : Easy Topics : Hydrogen, Reactions

RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions

/ JEE ­ MAINOFFICIAL ONLINE

EXAM / 10 January­19Slot­ II / Solutions

Date: 10 Jan 2019

Rao IIT Academy Website : www.raoiit.com1

Page 2: JEE MAIN Date: 10 Jan 2019 OFFICIAL ONLINE …...RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions 5. Diiculty : Easy Topics : Hydrogen, Reactions

RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions

1.Di�iculty : Medium

Topics :

Electrostatics,

On equatorial line electric  field is given as

  so  

at 

and at 

2. Di�iculty : Easy

Topics :

Work ,Energy and power,

Work energy theorem

3. Di�iculty : Di�icult

Topics :

Modern Physics,

Binding energy of reactants = 

Binding energy of products = 

                                        = 

So   energy has to be supplied

No answer matehes

Bonus

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Page 3: JEE MAIN Date: 10 Jan 2019 OFFICIAL ONLINE …...RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions 5. Diiculty : Easy Topics : Hydrogen, Reactions

RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions

4.Di�iculty : Easy

Topics :

Current electricity,

Now

5. Di�iculty : Medium

Topics :

Semiconductors,

So         and 

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Page 4: JEE MAIN Date: 10 Jan 2019 OFFICIAL ONLINE …...RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions 5. Diiculty : Easy Topics : Hydrogen, Reactions

RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions

6. Di�iculty : Medium

Topics :

Ray Optics,

7. Di�iculty : Easy

Topics :

Kinetic theory of gases,

       = 

8.Di�iculty : Medium

Topics :

Rotational Motion,

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Page 5: JEE MAIN Date: 10 Jan 2019 OFFICIAL ONLINE …...RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions 5. Diiculty : Easy Topics : Hydrogen, Reactions

RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions

9.Di�iculty : Easy

Topics :

Thermodynamics,

         = 

         =

         =

10. Di�iculty : Medium

Topics :

MAGNETISM,

 

11. Di�iculty : Easy

Topics :

Wave optics,

As for minima

path di�erence = 

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Page 6: JEE MAIN Date: 10 Jan 2019 OFFICIAL ONLINE …...RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions 5. Diiculty : Easy Topics : Hydrogen, Reactions

RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions

12.Di�iculty : Medium

Topics :

Caloriemetry,

Let           

               

               

No options matches

nearly matches to

13.Di�iculty : Medium

Topics :

Fluids,

Bonus Question

Let   length of bottle is submerged, when it is floating

so          =

          

               =

           

No options matches Bonus

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Page 7: JEE MAIN Date: 10 Jan 2019 OFFICIAL ONLINE …...RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions 5. Diiculty : Easy Topics : Hydrogen, Reactions

RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions

14. Di�iculty : Medium

Topics :

Vectors,

                                             ...........(1)

when Q is doubled

                                            ............(2)

From (1) and (2)

15. Di�iculty : Medium

Topics :

Capacitors,

When battery is disconnected

16.Di�iculty : Medium

Topics :

Modern Physics,Photoelectric e�ect,

No. of photoelectrone ejected per unit time 

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Page 8: JEE MAIN Date: 10 Jan 2019 OFFICIAL ONLINE …...RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions 5. Diiculty : Easy Topics : Hydrogen, Reactions

RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions

17. Di�iculty : Easy

Topics :

Communication systems,

So Range of signal = 2250 Hz to 2750 Hz

So for frequency 2000 kHz

So Range = 1800 kHz to 2200 kHz

18.Di�iculty : Easy

Topics :

MAGNETISM,

19. Di�iculty : Easy

Topics :

Simple harmonic motion,

As 

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Page 9: JEE MAIN Date: 10 Jan 2019 OFFICIAL ONLINE …...RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions 5. Diiculty : Easy Topics : Hydrogen, Reactions

RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions

20. Di�iculty : Medium

Topics :

Current electricity,

Let voltmeter resistance 

     

       

       

       

            

21. Di�iculty : Easy

Topics :

MEASUREMENT,

       

So volume

No. answer matches nearst to (2) 

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Page 10: JEE MAIN Date: 10 Jan 2019 OFFICIAL ONLINE …...RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions 5. Diiculty : Easy Topics : Hydrogen, Reactions

RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions

22.Di�iculty : Easy

Topics :

Current electricity,

As it is a balanced wheatstone bridge

So    

       

So 

Which correspond to brown, blue and brown

23.Di�iculty : Easy

Topics :

Gravitation,

24. Di�iculty : Medium

Topics :

Vectors,

and  

So   

and   

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Page 11: JEE MAIN Date: 10 Jan 2019 OFFICIAL ONLINE …...RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions 5. Diiculty : Easy Topics : Hydrogen, Reactions

RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions

25.Di�iculty : Medium

Topics :

Rotational Motion,

 

 

 

26. Di�iculty : Easy

Topics :

Sound wave,

Where

      

 

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Page 12: JEE MAIN Date: 10 Jan 2019 OFFICIAL ONLINE …...RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions 5. Diiculty : Easy Topics : Hydrogen, Reactions

RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions

27. Di�iculty : Easy

Topics :

Electromagnetic waves,

At any instant 't'

            

                                                        

Also 

So 

28. Di�iculty : Easy

Topics :

Kinematics,

Displacement till t = 5 sec

So position at t = 5 sec is x = 9 m

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Page 13: JEE MAIN Date: 10 Jan 2019 OFFICIAL ONLINE …...RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions 5. Diiculty : Easy Topics : Hydrogen, Reactions

RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions

29. Di�iculty : Medium

Topics :

Electrostatics,

 

 Potential at point O 

 

So work done

30.Di�iculty : Easy

Topics :

Electromagnetic Induction( EMI ),

           

    

So 

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Page 14: JEE MAIN Date: 10 Jan 2019 OFFICIAL ONLINE …...RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions 5. Diiculty : Easy Topics : Hydrogen, Reactions

RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions

1.Di�iculty : Easy

Topics :

P-block-II,

2.Di�iculty : Easy

Topics :

Surface Chemistry,

Haemoglobin is positively charged sol gold is negatively charged sol option (2) is correct

3.Di�iculty : Easy

Topics :

Solid State,

hcp lattice of 

 tetrahedral voids 

option (1) is correct

4.Di�iculty : Easy

Topics :

P-block-I,

                         

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CHEMISTRY

Page 15: JEE MAIN Date: 10 Jan 2019 OFFICIAL ONLINE …...RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions 5. Diiculty : Easy Topics : Hydrogen, Reactions

RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions

5. Di�iculty : Easy

Topics :

Hydrogen,

Reactions of iodine and hydrongen is a reversible reaction so it requires catalyst for completion

6. Di�iculty : Di�icult

Topics :

Coordination Compounds,

7. Di�iculty : Medium

Topics :

PRACTICAL ORGANIC CHEMISTRY,

Barfoed test: Test for Monosaccharides

Barfoed Reagent: Acetic Acid + Copper (II) acetate

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Page 16: JEE MAIN Date: 10 Jan 2019 OFFICIAL ONLINE …...RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions 5. Diiculty : Easy Topics : Hydrogen, Reactions

RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions

8. Di�iculty : Easy

Topics :

Nomenclature,

9. Di�iculty : Di�icult

Topics :

Chemical Kinetics,

Also 

Option (1) is correct

10.Di�iculty : Easy

Topics :

S-block,

Deep blue colour and paramagnetic nature is due to ammoniated electrons.

                                                                                      Solvated or

                                                                                 ammoniated electron

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Page 17: JEE MAIN Date: 10 Jan 2019 OFFICIAL ONLINE …...RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions 5. Diiculty : Easy Topics : Hydrogen, Reactions

RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions

11.Di�iculty : Easy

Topics :

Aromatic compounds,

'A' should be aromatic

12.Di�iculty : Easy

Topics :

Mole concept,

     contains   moles

Option (1) is correct

13. Di�iculty : Medium

Topics :

BIOMOLECULES ,

 :  -Aminoacid, Ninhydrin test

 : Furfural : Free aldehydic group present : 1-Naphthol

 : Benzyl alcohol : ceric ammonium nitrate

 : Styrene : 

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Page 18: JEE MAIN Date: 10 Jan 2019 OFFICIAL ONLINE …...RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions 5. Diiculty : Easy Topics : Hydrogen, Reactions

RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions

14.Di�iculty : Medium

Topics :

Coordination Compounds,

Cobalt(III) chloride on reaction with ethylenediemine in ratio 1 : 2 2 isomeric products complexes and

 

15. Di�iculty : Easy

Topics :

Thermodynamics,

 hence entropy is decreasing

Option (4) is correct

16. Di�iculty : Medium

Topics :

Metallurgy,

     

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Page 19: JEE MAIN Date: 10 Jan 2019 OFFICIAL ONLINE …...RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions 5. Diiculty : Easy Topics : Hydrogen, Reactions

RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions

17. Di�iculty : Easy

Topics :

Atomic Structure,

For   atom ground state

For   excited state 

So option is (2) correct

18. Di�iculty : Medium

Topics :

equilibrium,

                  

at                                                             

at teq                                                   

                                                       moles            moles

      

    

option (2) is correct

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Page 20: JEE MAIN Date: 10 Jan 2019 OFFICIAL ONLINE …...RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions 5. Diiculty : Easy Topics : Hydrogen, Reactions

RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions

19.Di�iculty : Medium

Topics :

Alcohols,

20. Di�iculty : Easy

Topics :

PERIODIC PROPERTIES,

for 

21. Di�iculty : Medium

Topics :

CARBOXYLIC ACIDS AND ITS DERIVATIVES,

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Page 21: JEE MAIN Date: 10 Jan 2019 OFFICIAL ONLINE …...RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions 5. Diiculty : Easy Topics : Hydrogen, Reactions

RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions

22.Di�iculty : Easy

Topics :

Aromatic compounds,

Activated rings undergo EAS reaction.

23. Di�iculty : Easy

Topics :

Phenols,

24. Di�iculty : Medium

Topics :

Volumetric analysis,

 per molecule of 

255. Di�iculty : Di�icult

Topics :

Ethers,

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Page 22: JEE MAIN Date: 10 Jan 2019 OFFICIAL ONLINE …...RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions 5. Diiculty : Easy Topics : Hydrogen, Reactions

RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions

26.Di�iculty : Medium

Topics :

Thermodynamics,

Isothermal compression

   

   

 

 

27. Di�iculty : Easy

Topics :

Liquid Solutions,

      

Also

       

  

  

28. Di�iculty : Medium

Topics :

Alcohols,

 selective reduction of        group to   group

                       and   bond to 

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Page 23: JEE MAIN Date: 10 Jan 2019 OFFICIAL ONLINE …...RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions 5. Diiculty : Easy Topics : Hydrogen, Reactions

RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions

29. Di�iculty : Medium

Topics :

Electrochemistry,

30.Di�iculty : Easy

Topics :

Environmental Chemistry,

Ozone layer depletion mechanism is not involving the reaction

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Page 24: JEE MAIN Date: 10 Jan 2019 OFFICIAL ONLINE …...RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions 5. Diiculty : Easy Topics : Hydrogen, Reactions

RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions

1.Di�iculty : Easy

Topics :

Probability,

 (hitting target)=

 (not hitting the target)=

 (hitting the target at lest once)=

 (nt hitting)

 

 least   which satisties above inequality = 5

2. Di�iculty : Medium

Topics :

Circles,

radius of given circle

                                      ........(1)                      

circum radius of equilateral triangle,          .........(2)

where a is side of 

   (Area)

     (from (1) & (2))

 

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MATHEMATICS

Page 25: JEE MAIN Date: 10 Jan 2019 OFFICIAL ONLINE …...RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions 5. Diiculty : Easy Topics : Hydrogen, Reactions

RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions

3.Di�iculty : Easy

Topics :

Parabola,

Parabola  

Any point on it is 

let,   passes through 

 

 ends of the chord are

 and

 distance between the point = 

                                              = 

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Page 26: JEE MAIN Date: 10 Jan 2019 OFFICIAL ONLINE …...RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions 5. Diiculty : Easy Topics : Hydrogen, Reactions

RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions

4. Di�iculty : Medium

Topics :

Limits,

Let 

Which is a linear di�erential equation.

Integrating factor = 

                                                = 

 

 + 

Now,   

Now, 

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Page 27: JEE MAIN Date: 10 Jan 2019 OFFICIAL ONLINE …...RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions 5. Diiculty : Easy Topics : Hydrogen, Reactions

RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions

5. Di�iculty : Easy

Topics :

Application of derivatives,

Let the roots of   are   and 

 

least value of   at 

6.Di�iculty : Medium

Topics :

Di�erential Equations,

 

 

 

integrating,

 

                 .............(1)

(1) passes through (1,1)

Paticular

 Solution of the D.t. is 

A circle with centre (1,0)

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Page 28: JEE MAIN Date: 10 Jan 2019 OFFICIAL ONLINE …...RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions 5. Diiculty : Easy Topics : Hydrogen, Reactions

RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions

7.Di�iculty : Medium

Topics :

Determinants,

          

          .........(1)

 

 (from (1))

 minimum value of 

8. Di�iculty : Easy

Topics :

Vectors,

 and  are collinear

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Page 29: JEE MAIN Date: 10 Jan 2019 OFFICIAL ONLINE …...RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions 5. Diiculty : Easy Topics : Hydrogen, Reactions

RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions

9. Di�iculty : Medium

Topics :

Conics,

        ..........(1)

(1) represents an ellipse if

           and 

    and 

    

comparing with, 

            

               

eccentricity,

                           =

                           =

 (1) represents hyperbola if   

  as 

      

     

    whose eccentricity 

                                    

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Page 30: JEE MAIN Date: 10 Jan 2019 OFFICIAL ONLINE …...RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions 5. Diiculty : Easy Topics : Hydrogen, Reactions

RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions

10.Di�iculty : Medium

Topics :

Definite integration,

di�erentiating both sides,

Now 

       

                       

                         

11. Di�iculty : Easy

Topics :

Three Dimensional Geometry,

Any point on this line:

    lies on 

     

 the point of intersection of given line and plane is (0,1,1)

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Page 31: JEE MAIN Date: 10 Jan 2019 OFFICIAL ONLINE …...RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions 5. Diiculty : Easy Topics : Hydrogen, Reactions

RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions

12.Di�iculty : Medium

Topics :

MATRICES,

To have non trivial solution,

                                                             (Not valid)

                   Satisfy given condition

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Page 32: JEE MAIN Date: 10 Jan 2019 OFFICIAL ONLINE …...RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions 5. Diiculty : Easy Topics : Hydrogen, Reactions

RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions

13. Di�iculty : Medium

Topics :

Solutions of Triangle,

also, 

       

           

           

but

So             

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Page 33: JEE MAIN Date: 10 Jan 2019 OFFICIAL ONLINE …...RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions 5. Diiculty : Easy Topics : Hydrogen, Reactions

RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions

14.Di�iculty : Medium

Topics :

STATISTICS,

mean 

S.D.  variance 

Now,for 

Varience 

             

             

            

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Page 34: JEE MAIN Date: 10 Jan 2019 OFFICIAL ONLINE …...RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions 5. Diiculty : Easy Topics : Hydrogen, Reactions

RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions

15. Di�iculty : Di�icult

Topics :

Application of derivatives,

Any point on   can be taken as 

 distance between   and   is given by 

    

Let 

     

   

 at   is minimum

          

 minimum distance 

                                 

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Page 35: JEE MAIN Date: 10 Jan 2019 OFFICIAL ONLINE …...RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions 5. Diiculty : Easy Topics : Hydrogen, Reactions

RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions

16. Di�iculty : Easy

Topics :

Trigonometric Ratios & Identities,

17. Di�iculty : Easy

Topics :

Straight lines,

Point of intersection of 

     

Point 

 slope   slope 

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RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions

18.Di�iculty : Easy

Topics :

Application of derivatives,

       

 Equation of tangent : 

    

         .....(1)

 satisfies (1)

19.Di�iculty : Medium

Topics :

Determinants,

 

always true as 

 for   infinite possibilities exist.

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Page 37: JEE MAIN Date: 10 Jan 2019 OFFICIAL ONLINE …...RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions 5. Diiculty : Easy Topics : Hydrogen, Reactions

RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions

20. Di�iculty : Easy

Topics :

Three Dimensional Geometry,

Given points :   and 

The plane bisects 

 Plane passes through : 

                                    = 

Plane is 1 to 

 Equation of plane :

              

             

    satisfies the plane equation.

21. Di�iculty : Easy

Topics :

Geometry of Complex Numbers,

       

        is purely real. 

      

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Page 38: JEE MAIN Date: 10 Jan 2019 OFFICIAL ONLINE …...RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions 5. Diiculty : Easy Topics : Hydrogen, Reactions

RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions

22.Di�iculty : Medium

Topics :

Mathematics,

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Page 39: JEE MAIN Date: 10 Jan 2019 OFFICIAL ONLINE …...RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions 5. Diiculty : Easy Topics : Hydrogen, Reactions

RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions

23.Di�iculty : Easy

Topics :

Functions,

 

 is many-one and onto.

24. Di�iculty : Easy

Topics :

Mathematical reasoning,

 is true 

 is false 

 is true 

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Page 40: JEE MAIN Date: 10 Jan 2019 OFFICIAL ONLINE …...RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions 5. Diiculty : Easy Topics : Hydrogen, Reactions

RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions

25. Di�iculty : Medium

Topics :

Inverse Trigonometric Functions,

.

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Page 41: JEE MAIN Date: 10 Jan 2019 OFFICIAL ONLINE …...RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions 5. Diiculty : Easy Topics : Hydrogen, Reactions

RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions

26.Di�iculty : Medium

Topics :

Properties of di�erentiability functions,

 is non-di�erentiable at   points

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Page 42: JEE MAIN Date: 10 Jan 2019 OFFICIAL ONLINE …...RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions 5. Diiculty : Easy Topics : Hydrogen, Reactions

RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions

27.Di�iculty : Medium

Topics :

Indefinite integration,

Let 

     

   

  

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Page 43: JEE MAIN Date: 10 Jan 2019 OFFICIAL ONLINE …...RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions 5. Diiculty : Easy Topics : Hydrogen, Reactions

RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions

28.Di�iculty : Medium

Topics :

Definite integration,

Points of discontinuity :

    

       

       

      

      

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Page 44: JEE MAIN Date: 10 Jan 2019 OFFICIAL ONLINE …...RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions 5. Diiculty : Easy Topics : Hydrogen, Reactions

RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions

29. Di�iculty : Easy

Topics :

Mathematics,

 term in   is same as constabt term in 

 is constant term

                

                          

 required term 

 Coe�. is 

           

                

             

 

 

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Page 45: JEE MAIN Date: 10 Jan 2019 OFFICIAL ONLINE …...RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions 5. Diiculty : Easy Topics : Hydrogen, Reactions

RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions

30. Di�iculty : Di�icult

Topics :

Straight lines,

 is vertical Line

 is horizontal Line

 equation of 

slope   slope 

 equation of 

                    

Point of intersection of   and   is

                  

  is         

 is second quadrant.

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