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JEE Main 2019 Question Paper

*These are memory based questions of Mathematics only. 

The Paper-2 for B.Arch/B.Plan course was conducted by NTA on 7th April 2019 in two shifts. The first shift started from 9:30 am to 12:30 pm and the second shift was conducted from 2:30 pm to 5:30 pm. The JEE Main Paper-2 was conducted at 370 exam centers and as per the National Test Agency, a total of 169767 aspirants register for the JEE Main Paper-2. The mode of the exam was online while drawing test was in pen and paper mode. In this article, we are going to share the exam analysis of JEE Main Paper 2 on the basis of students feedback and some memory based questions of Mathematics. 

 

JEE Main 2019 Paper-2  Analysis, 7th April 2019 ( Morning & Afternoon Session)

  • As per the candidate's feedback, the overall paper was easy. The paper was divided into 3 sections Aptitude, Mathematics and, Drawing.
  • The April session paper was comparatively easy than the January session exam.
  • In between Mathematics, aptitude and Drawing section, Aptitude section was the easiest section.
  • The Mathematics section was easy to moderate, most of the questions were asked from the class 11th syllabus.
  • The Drawing section was easy but time-consuming section.

Analysis of JEE Main Paper 2019

JEE Main 2019 Question Paper All Questions

    Maths

  1. The sum of the infinite series 1+2+\frac{2}{3}+\frac{6}{3^2}+\frac{10}{3^3}+\frac{14}{3^4}+..............
    a)

    4

    		 b)

    5
    c)

    6

    		 d)

    8
    Maths - Sequence and series
    Marked right : 12.121212121212121% students | Marked incorrect : 15.151515151515152% students | Marked not attempted : 72.72727272727273% students

    Correct Option: b

    View Solution

  2. $\lim _{x \rightarrow 3}\left(\frac{\sqrt{x+6}-\sin (x-3)-3}{(x-3) \cos (x-3)}\right)=?$
    a)

    -5/6

    		 b)

    1/6
    c)

    5/6

    		 d)

    4
    Maths - Limit , continuity and differentiability
    Marked right : 15.267175572519085% students | Marked incorrect : 9.16030534351145% students | Marked not attempted : 75.57251908396947% students
    (Asked in: JEE Main - 1970)

    Correct Option: a

  3. $\sim(p \leftrightarrow q)$
    a)

    $
    \begin{array}{c|c|c}
    \mathbf{p} & \mathbf{q} & \neg(\mathbf{p} \leftrightarrow \mathbf{q}) \\
    \hline \text { F } & \mathrm{F} & \mathbf{F} \\
    \hline \text { F } & \text { T } & \mathbf{T} \\
    \hline \text { T } & \text { F } & \mathbf{T} \\
    \hline \text { T } & \text { T } & \text { F }
    \end{array}
    $

    		 b)

    -
    c)

    -

    		 d)

    -
    Maths - Mathematical reasoning
    Marked right : 0% students | Marked incorrect : 19.25925925925926% students | Marked not attempted : 80.74074074074075% students
    (Asked in: JEE Main - 1970)

    Correct Option: a

  4. a)

    0

    		 b)

    243
    c)

    -243

    		 d)

    none of these
    Maths -
    Marked right : 13.821138211382115% students | Marked incorrect : 11.38211382113821% students | Marked not attempted : 74.79674796747967% students

    Correct Option: b

    View Solution

  5. P(A|B) = \frac{4}{5} and P(B|A) = \frac{1}{4} Then P(A|AUB)=?
    a)

    1/3

    		 b)

    1/4
    c)

    1/2

    		 d)

    1
    Maths -
    Marked right : 10.81081081081081% students | Marked incorrect : 8.108108108108109% students | Marked not attempted : 81.08108108108108% students

    Correct Option: c

  6. a, b, c are sides of \Delta ABC\:\;then\;\;\frac{c\sin(A-B)}{a^2-b^2}-\frac{b\sin(C-A)}{c^2-a^2}=?
    a)

    1

    		 b)

    -1
    c)

    0

    		 d)

    1/2
    Maths -
    Marked right : 4.901960784313726% students | Marked incorrect : 1.9607843137254901% students | Marked not attempted : 93.13725490196079% students

    Correct Option: c

  7. Set of all 3 digit natural number B = \left\{x\:\in A:\:HCF\:\left(x,15\right)=1\right\} number of elements in B Is
    a)

    300

    		 b)

    60
    c)

    400

    		 d)

    480
    Maths -
    Marked right : 13.392857142857142% students | Marked incorrect : 15.178571428571427% students | Marked not attempted : 71.42857142857143% students

    Correct Option: d

  8. Let $z\:(\neq1)$ be a complex number such that |z|=1 imaginary part of $\frac{\bar{z}(1-z)}{z(1+\bar{z})}$ ?
    a)

    $-\frac{x y}{(x+1)}$

    		 b)

    $\frac{2xy}{(x+1)^2+y^2}$
    c)

    $\frac{2xy}{(x)^2+y^2}$

    		 d)

    None of these
    Maths - Complex numbers and quadratic equations
    Marked right : 11.304347826086957% students | Marked incorrect : 14.782608695652174% students | Marked not attempted : 73.91304347826086% students

    Correct Option: a

  9. $r$ is a reminder of $\frac{98^5}{12}$ coefficient of $x^3$ in $\left(1+\frac{x}{2}\right)^{2 r}$ is
    a)

    $\frac{^{16}C_3}{4}$

    		 b)

    $\frac{^{16}C_3}{8}$
    c)

    ${^{16}C_3}$

    		 d)

    $\frac{^{16}C_3}{2}$
    Maths - Binomial theorem and its simple applications
    Marked right : 15.079365079365079% students | Marked incorrect : 10.317460317460316% students | Marked not attempted : 74.60317460317461% students

    Correct Option: b

  10. Area above x -axis bounded by parabola $x-y^2-1=0$ and $x-y-3=0$
    a)

    10

    		 b)

    10/4
    c)

    5/3

    		 d)

    31/6
    Maths - Integral Calculus
    Marked right : 7.8431372549019605% students | Marked incorrect : 8.823529411764707% students | Marked not attempted : 83.33333333333334% students
    (Asked in: SRMJEEE - 1970)

    Correct Option: d

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