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JEE Advanced 2019 Paper 1

Browse the complete Chemistry, Mathematics, and Physics question set from the JEE Advanced 2019 Paper 1 paper, question by question. Each question shows a quick preview so you can jump straight to the topic or subject you want to revise. Click through to attempt the full question in practice mode, or head back to the paper-wise list to download the entire paper as a PDF.

This paper has 54 questions in total - 5 easy (9%), 35 moderate (65%) and 14 tough (26%). That's a fairly typical mix for this exam. By subject: Physics 6% easy, 61% moderate, 33% tough; Chemistry 11% easy, 72% moderate, 17% tough; Mathematics 11% easy, 61% moderate, 28% tough.

Chemistry questions were spread across 15 chapters, with Chemical Bonding and Molecular Structure (3), Chemical Kinetics (2), and Amines (1) carrying the most weight. Mathematics questions were spread across 14 chapters, with Complex Number (2), Matrices (2), and Probability (2) carrying the most weight. Physics questions were spread across 15 chapters, with Electrostatics (2), Ray Optics (2), and Thermal Properties of Matter (2) carrying the most weight.

Chemistry

  1. 1Molar conductivity m of aqueous solution of sodium stearate, which behaves as a strong electrolyte, is recorded at varying concentration(c) 2019 (Paper 1)Preparation and Purification of colloids
  2. 2The correct order of acid strength of the following carboxylic acids is -2019 (Paper 1)Preparation and Properties of Carboxylic Acids
  3. 3Calamine, malachite, magnetite and cryolite, respectively are:2019 (Paper 1)Minerals and ores
  4. 4The green colour produced in the borax bead test of a chromium(III) salt is due to -2019 (Paper 1)Preliminary Tests
  5. 5Fusion of M n O 2 with K O H in presence of O 2 produces a salt W . Alkaline solution of W upon electrolytic oxidation yields another salt X2019 (Paper 1)Compounds of Transition Metals
  6. 6Which of the following statement(s) (are) correct regarding the root mean square speed U r m s and average translational kinetic energy a v 2019 (Paper 1)Kinetic theory of gases
  7. 7In the decay sequence: U 92 238 - x 1 T h 90 234 - x 2 P a 91 234 - x 3 Z 234 - x 4 T h 90 234 x 1 , x 2 , x 3 and x 4 are the particles/ ra2019 (Paper 1)Integrated rate laws
  8. 8Which of the following statement(s) is(are) true?2019 (Paper 1)Preparation and Reactions of Glucose
  9. 9A tin chloride Q undergoes the following reactions (not balanced) Q + C l - X Q + M e 3 N Y Q + C u C l 2 Z + C u C l X is a monoanion havin2019 (Paper 1)Hybridisation and VSEPR Theory
  10. 10Choose the correct option(s) for the following set of reactions2019 (Paper 1)Preparation and Properties of Monohalides
  11. 11Each of the following options contains a set of four molecules. Identify the option(s) where all four molecules possess permanent dipole mom2019 (Paper 1)Dipole moment
  12. 12Choose the reaction(s) from the following options, for which the standard enthalpy of reaction is equal to the standard enthalpy of formatio2019 (Paper 1)Laws of Thermochemistry and Enthalpy Change
  13. 13For the following reaction, the equilibrium constant K e at 298 K is 1.6 10 17 . F e 2 + a q + S 2 - a q F e S s When equal volumes of 0.06 2019 (Paper 1)Solubility
  14. 14Among B 2 H 6 , B 3 N 3 H 6 , N 2 O , N 2 O 4 , H 2 S 2 O 3 and H 2 S 2 O 8 , the number of molecules containing covalent bond between two a2019 (Paper 1)Covalent and Co-ordinate Bonding
  15. 15Consider the kinetic data given in the following table for the reaction A + B + C Product. Experiment No. A m o l d m - 3 B m o l d m - 3 C 2019 (Paper 1)Rate law and rate constant
  16. 16On dissolving 0.5 g of a non-volatile non-ionic solute to 39 g of benzene, its vapor pressure decreases from 650 m m H g to 640 m m H g . Th2019 (Paper 1)Colligative Properties and Abnormal Molecular Masses
  17. 17Scheme 1 and 2 describe the conversion of P to Q and R to S , respectively. Scheme 3 describes the synthesis of T from Q and S . The total n2019 (Paper 1)Preparation and Properties of Amines
  18. 18At 143 K , the reaction of X e F 4 with O 2 F 2 produces a xenon compound Y . The total number of lone pair(s) of electrons present on the w2019 (Paper 1)Noble Gases

Mathematics

  1. 1A line y = m x + 1 intersects the circle x - 3 2 + y + 2 2 = 25 at the points P and Q . If the midpoint of the line segment P Q has x - coor2019 (Paper 1)line and circle
  2. 2Let M = sin 4 - 1 - sin 2 1 + cos 2 cos 4 = I + M - 1 , where = and = are real number, and I is the 2 2 identity matrix. If * is the minimum2019 (Paper 1)Inverse of a Matrix
  3. 3Let S be the set of all complex numbers z satisfying z - 2 + i 5 . If the complex number z 0 is such that 1 z 0 - 1 is the maximum of the se2019 (Paper 1)Geometry of Complex Number
  4. 4The area of the region x , y : x y 8 , 1 y x 2 is2019 (Paper 1)Area bounded by two curves
  5. 5Define the collections E 1 , E 2 , E 3 , . . . . of ellipses and R 1 , R 2 , R 3 , . . . . of rectangles as follows: E 1 : x 2 9 + y 2 4 = 12019 (Paper 1)Equation of Ellipse
  6. 6In a non-right-angled triangle P Q R , let p , q , r denote the lengths of the sides opposite to the angles at P , Q , R respectively. The m2019 (Paper 1)Circle Connected to Triangle
  7. 7Let f : R R be given by f x = x 5 + 5 x 4 + 10 x 3 + 10 x 2 + 3 x + 1 , x 0 ; x 2 - x + 1 , 0 x 1 ; 2 3 x 3 - 4 x 2 + 7 x - 8 3 , 1 x 3 ; x 2019 (Paper 1)Maxima Minima
  8. 8Let and be the roots of x 2 - x - 1 = 0 , with . For all positive integers n , define a n = n - n - , n 1 b 1 = 1 and b n = a n - 1 + a n + 2019 (Paper 1)Relation between Roots and Coefficients
  9. 9Let L 1 and L 2 denotes the lines r = i ^ + - i ^ + 2 j ^ + 2 k ^ , R and r = 2 i ^ - j ^ + 2 k ^ , R respectively. If L 3 is a line which i2019 (Paper 1)Line in Space
  10. 10There are three bags B 1 , B 2 and B 3 . The bag B 1 contains 5 red and 5 green balls, B 2 contains 3 red and 5 green balls, and B 3 contain2019 (Paper 1)Conditional Probability and Multiplication Theorem
  11. 11Let T denote a curve y = y x which is in the first quadrant and let the point 1 , 0 lie on it. Let the tangent to T at a point P intersect t2019 (Paper 1)Variable Separable Form
  12. 12Let M = 0 1 a 1 2 3 3 b 1 and a d j M = - 1 1 - 1 8 - 6 2 - 5 3 - 1 where a and b are real numbers. Which of the following options is/are co2019 (Paper 1)Adjoint and its Properties
  13. 13Three lines are given by r = i ^ , R r = i ^ + j ^ , R and r = i ^ + j ^ + k ^ , R . Let the lines cut the plane x + y + z = 1 at the points2019 (Paper 1)Line and Plane
  14. 14Let S be the sample space of all 3 3 matrices with entries from the set 0 , 1 . Let the events E 1 and E 2 be given by E 1 = A S : d e t A =2019 (Paper 1)Conditional Probability and Multiplication Theorem
  15. 15Let 1 be a cube root of unity. Then the minimum of the set { a + b + c 2 2 : a , b , c distinct non zero integers } equals ________2019 (Paper 1)Cube Root of Unity
  16. 16Let the point B be the reflection of the point A 2 , 3 with respect to the line 8 x - 6 y - 23 = 0 . Let T A and T B be circle of radii 2 an2019 (Paper 1)Point and Line
  17. 17Let A P a ; d denote the set of all the terms of an infinite arithmetic progression with first term a and common difference d 0 . If A P 1 ;2019 (Paper 1)Arithmetic Progression
  18. 18If I = 2 - 4 4 d x 1 + e s i n x 2 - c o s 2 x then find 27 I 2 equals____2019 (Paper 1)Properties of Definite Integration

Physics

  1. 1In a radioactive sample, 19 40 K nuclei either decay into stable 20 40 C a nuclei with decay constant 4.5 × 10 - 10 per year or into stable 2019 (Paper 1)Radioactivity
  2. 2A current carrying wire heats a metal rod. The wire provides a constant power P to the rod. The metal rod is enclosed in an insulated contai2019 (Paper 1)Conduction
  3. 3A thin spherical insulating shell of radius R carries a uniformly distributed charge such that the potential at its surface is V 0 . A hole 2019 (Paper 1)Electric Potential and Potential Energy
  4. 4Consider a spherical gaseous cloud of mass density ρ r in free space where r is the radial distance from its center. The gaseous cloud is ma2019 (Paper 1)Gravitational field
  5. 5A conducting wire of parabolic shape, initially y = x 2 , is moving with velocity V → = V 0 i ^ in a non-uniform magnetic field B → = B 0 1 2019 (Paper 1)Motional and Rotational EMF
  6. 6A charged shell of radius R carries a total charge Q . Given as the flux of electric field through a closed cylindrical surface of height h 2019 (Paper 1)Electric Flux and Gauss Law
  7. 7A thin convex lens is made of two materials with refractive indices n 1 and n 2 , as shown in figure. The radius of curvature of the left an2019 (Paper 1)Lens Formula, Refraction of light from curved surface
  8. 8One mole of a monoatomic ideal gas goes through a thermodynamic cycle, as shown in the volume versus temperature V - T diagram. The correct 2019 (Paper 1)Thermodynamic Systems
  9. 9Two identical moving coil galvanometer have 10 resistance and full scale deflection at 2 A current. One of them is converted into a voltmete2019 (Paper 1)Force and Torque on Current Carrying Conductor
  10. 10Let us consider a system of units in which mass and angular momentum are dimensionless. If length has dimension of L , which of the followin2019 (Paper 1)Dimensions
  11. 11A cylindrical capillary tube of 0.2 m m radius is made by joining two capillaries T 1 and T 2 of different materials having water contact an2019 (Paper 1)Surface tension
  12. 12In the circuit shown, initially there is no charge on capacitors and keys S 1 and S 2 are open. The values of the capacitors are C 1 = 10 μ 2019 (Paper 1)AC Circuits
  13. 13A planar structure of length L and width W is made of two different optical media of refractive indices n 1 = 1.5 and n 2 = 1.44 as shown in2019 (Paper 1)Refraction of light from plane surface
  14. 14A block of weight 100 N is suspended by copper and steel wires of same cross-sectional area 0.5 c m 2 and, length 3 m and 1 m , respectively2019 (Paper 1)Equilibrium of Forces
  15. 15A parallel plate capacitor of capacitance C has spacing d between two plates having area A . The region between the plates is filled with N 2019 (Paper 1)Capacitors with Dielectric
  16. 16A liquid at 30 o C is poured very slowly into a Calorimeter that is at temperature of 110 o C . The boiling temperature of the liquid is 80 2019 (Paper 1)Thermometry
  17. 17A train S 1 , moving with a uniform velocity of 108 k m / h , approaches another train S 2 standing on a platform. An observer O moves with 2019 (Paper 1)Doppler's Effect
  18. 18A particle is moved along a path A B - B C - C D - D E - E F - F A , as shown in figure, in presence of a force F → = α y i ^ + 2 α x j ^ N 2019 (Paper 1)Work done

Frequently Asked Questions

1.How many questions are in the JEE Advanced 2019 Paper 1 paper?

This paper has 54 questions in total - 18 each from Chemistry, Mathematics, and Physics.

2.Can I practise questions from just one subject?

Yes. Use the Chemistry, Mathematics, and Physics tabs at the top of the page to jump directly to that subject's question set within this paper.

3.Where can I find the Paper 2 paper for the same year?

The JEE Advanced 2019 Paper 2 paper is listed separately - you can switch to it from the "JEE Advanced Paper Wise PYQs" panel, under JEE Advanced 2019.

4.What is the structure of the JEE Advanced 2019 Paper 1 paper?

The JEE Advanced 2019 Paper 1 paper on MARKS has 54 questions, organised by subject:

  • Chemistry: 18 questions - 4 single-correct, 8 multiple-correct, and 6 numerical-value.
  • Mathematics: 18 questions - 4 single-correct, 8 multiple-correct, and 6 numerical-value.
  • Physics: 18 questions - 4 single-correct, 8 multiple-correct, and 6 numerical-value.
5.What is the difficulty level of the JEE Advanced 2019 Paper 1 paper?

Each question on MARKS carries a difficulty rating. Of the 54 rated questions in this paper, 5 (9%) are easy, 35 (65%) are medium and 14 (26%) are hard. Subject wise:

  • Chemistry: 2 easy, 13 medium, 3 hard
  • Mathematics: 2 easy, 11 medium, 5 hard
  • Physics: 1 easy, 11 medium, 6 hard
6.Which chapters had the most questions in the JEE Advanced 2019 Paper 1 paper?

The chapters with the most questions in each subject were:

  • Chemistry: Chemical Bonding and Molecular Structure (3) and Chemical Kinetics (2).
  • Mathematics: Complex Number (2), Matrices (2), and Probability (2).
  • Physics: Electrostatics (2), Ray Optics (2), and Thermal Properties of Matter (2).
7.Where can I find the solutions for the JEE Advanced 2019 Paper 1 paper?

Open any question on this page. Its page shows the correct answer and, where one is available, the worked solution. A downloadable PDF of the whole paper is coming soon.

8.How should I use the JEE Advanced 2019 Paper 1 paper to check my preparation?

Set a timer, attempt the 54 questions as you would in the exam, and only then open the answers. Note which subjects and chapters cost you the most marks, and revise those first using the chapter-wise practice for JEE Advanced. Repeating this with other papers shows whether the same weak spots keep coming back.

9.Will the JEE Advanced 2019 Paper 1 paper help me prepare for JEE Advanced 2027?

Yes. Every past paper shows the question styles and topics JEE Advanced has asked before, and a solved paper gives you a realistic benchmark for speed and accuracy. Use it along with the other papers to spot the chapters that keep returning.