info@clay6.com
Login
Ask Questions, Get Answers
Menu
X
home
ask
homework
questions
practice
JEEMAIN Crash
15 Test Series
NEET Crash
35 Test Series
CBSE XII
Math
JEEMAIN Premium
Math
Physics
Chemistry
Practice Test Series
CBSE XI
Math
NEET Premium
Physics
Chemistry
Biology - XII
Biology - XI
Olympiad class V
Math - 5 Test Series
Olympiad class VI
Math - 5 Test Series
CBSE XII Board Exam Series
BES Math
BES Physics
BES Chemistry
BES Biology
JEEMAIN Crash
15 Test Series
NEET Crash
35 Test Series
CBSE XII
Math
JEEMAIN Premium
Math
Physics
Chemistry
Practice Test Series
CBSE XI
Math
NEET Premium
Physics
Chemistry
Biology - XII
Biology - XI
Olympiad class V
Math - 5 Test Series
Olympiad class VI
Math - 5 Test Series
CBSE XII Board Exam Series
BES Math
BES Physics
BES Chemistry
BES Biology
papers
mobile
tutors
pricing
X
Recent questions and answers in JEEMAIN-2016
Questions
>>
JEEMAIN and NEET
>>
JEEMAIN-2016
Questions from: JEEMAIN-2016
To determine refractive index of glass slab using a travelling microscope, minimum number of readings required are:
jeemain 2016 physics set c 10042016
answered
Jun 2, 2017
by
priyanka.c
1
answer
The contrapositive of the following statement,
“If the side of a square doubles, then its area increases four times”, is :
jeemain 2016 maths set c 10042016
answered
May 30, 2017
by
priyanka.c
1
answer
The angle of elevation of the top of a vertical tower from a point $A,$ due east of it is $45^0$. The angle of elevation of the top of the same tower from a point $ B$, due south of $A$ is $30^0$. If the distance between $A$ and $B$ is $54 \sqrt 2$ m , then the height of the tower (in metres), is :
jeemain 2016 maths set c 10042016
answered
May 30, 2017
by
priyanka.c
1
answer
If $A>0, B>0$ and $Α + B = \frac{\pi}{6} ,$ then the minimum value of $ \tan A + \tan B$ is :
jeemain 2016 maths set c 10042016
answered
May 30, 2017
by
priyanka.c
1
answer
An experiment succeeds twice as often as it fails. The probability of at least 5 successes in the six trials of this experiment is :
jeemain 2016 maths set c 10042016
answered
May 30, 2017
by
priyanka.c
1
answer
The $mean$ of $5$ observations is $5$ and their $variance$ is $124$. If three of the observations are $1, 2$ and $6$ ; then the mean deviation from the mean of the data is :
jeemain 2016 maths set c 10042016
answered
May 30, 2017
by
priyanka.c
1
answer
Let $ABC $ be a triangle whose circumcentre is at $P$. If the position vectors of $A, B, C$ and $P$ are $\overrightarrow{a} , \overrightarrow{b}, \overrightarrow{c}$ and $\frac{\overrightarrow{a} + \overrightarrow{b} + \overrightarrow{c}}{4}$ respectively, then the position vector of the orthocentre of this triangle, is :
jeemain 2016 maths set c 10042016
answered
May 30, 2017
by
priyanka.c
1
answer
The number of distinct real values of $λ$ for which the lines $\begin{align*} \frac{x-1}{1} = \frac{y-2}{2} = \frac{z+3}{\lambda^2} \end{align*}$ and $\begin{align*}\frac{x-3}{1} = \frac{y-2}{\lambda^2 } = \frac{z-1}{2} \end{align*} $ are coplanar is:
jeemain 2016 maths set c 10042016
answered
May 30, 2017
by
priyanka.c
1
answer
ABC is a triangle in a plane with vertices $A(2, 3, 5), B(−1, 3, 2)$ and $C(λ, 5, µ).$ If the median through $A$ is equally inclined to the coordinate axes, then the value of $(λ^3+µ^3+5)$ is :
jeemain 2016 maths set c 10042016
answered
May 30, 2017
by
priyanka.c
1
answer
A hyperbola whose transverse axis is along the major axis of the conic, $\frac{x^2}{3} + \frac{y^2}{4} = 4$ and has vertices at the foci of this conic. If the eccentricity of the hyperbola is $\frac{3}{2}$, then which of the following points does $NOT$ lie on it ?
jeemain 2016 maths set c 10042016
answered
May 30, 2017
by
priyanka.c
1
answer
$P$ and $Q$ are two distinct points on the parabola, $y2=4x,$ with parameters $t$ and $t_1$ respectively. If the normal at $P$ passes through $Q$, then the minimum value of $ t_1^2$ is :
jeemain 2016 maths set c 10042016
answered
May 30, 2017
by
priyanka.c
1
answer
Equation of the tangent to the circle, at the point $(1, −1)$, whose centre is the point of intersection of the straight lines $x−y=1$ and $2x+y=3$ is :
jeemain 2016 maths set c 10042016
answered
May 30, 2017
by
priyanka.c
1
answer
A straight line through origin $O$ meets the lines $3y=10−4x$ and $8x+6y+5=0$ at points $A$ and $B$ respectively. Then $O$ divides the segment $AB$ in the ratio :
jeemain 2016 maths set c 10042016
answered
May 29, 2017
by
priyanka.c
1
answer
A ray of light is incident along a line which meets another line,$ 7x−y+1=0$, at the point $(0, 1). $ The ray is then reflected from this point along the line, $y+2x=1.$ Then the equation of the line of incidence of the ray of light is :
jeemain 2016 maths set c 10042016
answered
May 29, 2017
by
priyanka.c
1
answer
The solution of the differential equation $\begin{align*} \frac{dy}{dx} + \frac{y}{2} \sec x = \frac{\tan}{2\;y}, \end{align*}$ where $0 \leq x < \frac{\pi}{2},$ and $y(0)= 1,$ is given by
jeemain 2016 maths set c 10042016
answered
May 29, 2017
by
priyanka.c
1
answer
For $ x \; \epsilon \;R, x ≠ 0,$ if $y(x)$ is a differentiable function such that $\begin{align*} x \int_1^x y\; (t) \;dt = (x+1) \int_1^x t\; y \;(t)\; dt, \end{align*}$ then $y(x) $ equals :
(where C is a constant.)
jeemain 2016 maths set c 10042016
answered
May 29, 2017
by
priyanka.c
1
answer
The value of the integral $\begin{align*} \int_4^{10} \frac{[x^2]dx}{[x^2 -28x + 196] + [x^2] } , \end{align*}$ where $[x]$ denotes the greatest integer less than or equal to $x,$ is :
jeemain 2016 maths set c 10042016
answered
May 29, 2017
by
priyanka.c
1
answer
The integral $\begin{align*} \int \frac{dx}{(1+\sqrt x) \sqrt{x - x^2}} \end{align*}$ to :
(where C is a constant of integration.)
jeemain 2016 maths set c 10042016
answered
May 29, 2017
by
priyanka.c
1
answer
Let $C$ be a curve given by $y (x) = 1 + \sqrt{4x - 3}, x>\frac{3}{4}.$ If P is a point on $ C$, such that the tangent at $P$ has slope $\frac{2}{3},$ then a point through which the normal at $P$ passes is:
jeemain 2016 maths set c 10042016
answered
May 29, 2017
by
priyanka.c
1
answer
Let $f(x)=sin^4x+cos^4x.$ Then f is an increasing function in the interval :
jeemain 2016 maths set c 10042016
answered
May 29, 2017
by
priyanka.c
1
answer
If the tangent at a point on the ellipse $\large\frac{x^2}{27} +\frac{y^2}{3}$$=1$ meets the coordinate axes at A and B, and O is the origin, then the minimum area (in sq. units) of the triangle $OAB$ is :
jeemain
2016
maths
set b
09042016
answered
May 29, 2017
by
meena.p
1
answer
Consider the following two statements : <br> P : If 7 is an odd number, then 7 is divisible by 2. <br> Q : If 7 is a prime number, then 7 is an odd number. <br> If $V_1$ is the truth value of the contrapositive of $P$ and $V_2$ is the truth value of contrapositive of Q, then the ordered pair $(V_1, V_2)$ equals :
jeemain
2016
maths
set b
09042016
answered
May 29, 2017
by
meena.p
1
answer
If $m$ and $M$ are the minimum and the maximum values of $4 +\large\frac{1}{2} $$\sin ^2 2x - 2 \cos ^4 x , x \in R$ then $M−m$ is equal to :
jeemain
2016
maths
set b
09042016
answered
May 29, 2017
by
meena.p
1
answer
The number of $x \in [0, 2 \pi]$ for which $| \sqrt{2 \sin ^4 x +18 \cos ^2 x} - \sqrt {2 \cos ^4 x +18 \sin ^2 x}|=1$ is :
jeemain
2016
maths
set b
09042016
answered
May 29, 2017
by
meena.p
1
answer
If $A$ and $B$ are any two events such that $P(A)= \large\frac{2}{5}$ and $P(A \cap B)=\large\frac{3}{20}$,then the conditional probability, $P(A |(A' \cup B')),$ where $A'$ denotes the complement of A, is equal to :
jeemain
2016
maths
set b
09042016
answered
May 29, 2017
by
meena.p
1
answer
Let $a, b \;\epsilon \; R, (a ≠ 0). $ If the function f defined as $f(x) = \begin{cases} \frac{2x^2}{a}, & 0 \leq x < 1 \\ a , & 1 \leq x < \sqrt 2 \\ \frac{2b^2 - 4b}{x^3}, & \sqrt 2 \leq x < \infty \end{cases}$ is continuous in the interval $[0, ∞)$, then an ordered pair $(a, b)$ is
jeemain 2016 maths set c 10042016
answered
May 29, 2017
by
priyanka.c
1
answer
If the mean deviation of the numbers $1, 1+ d, ..., 1+100d$ from their mean is $255$, then a value of $d$ is :
jeemain
2016
maths
set b
09042016
answered
May 29, 2017
by
meena.p
1
answer
In a triangle $ABC$, right angled at the vertex $A$, if the position vectors of A, B and C are respectively $3 \hat i + \hat j - \hat k , \hat i+3 \hat j +p \hat k $ and $5 \hat i+q \hat j -4 \hat k$ then the point $(p, q)$ lies on a line :
jeemain
2016
maths
set b
09042016
answered
May 29, 2017
by
meena.p
1
answer
$\begin{align*}\lim_{x\to o}\frac{(1 - \cos2x)^2}{2x \; \tan x -x \tan 2x } \end{align*} $ is :
jeemain 2016 maths set c 10042016
answered
May 29, 2017
by
priyanka.c
1
answer
The distance of the point $(1, −2, 4)$ from the plane passing through the point $(1, 2, 2)$ and perpendicular to the planes $x−y+2z=3$ and $2x−2y+z+12=0,$ is :
jeemain
2016
maths
set b
09042016
answered
May 29, 2017
by
meena.p
1
answer
The shortest distance between the lines $\large\frac{x}{2}=\frac{y}{2}=\frac{z}{1}$ and $\large\frac{x+2}{-1} = \frac{y-4}{8} =\frac{z-5}{4}$ lies in the interval
jeemain
2016
maths
set b
09042016
answered
May 29, 2017
by
meena.p
1
answer
Let a and b respectively be the semitransverse and semi-conjugate axes of a hyperbola whose eccentricity satisfies the equation $9e^2−18e+5=0$. If $S(5, 0)$ is a focus and $5x=9$ is the corresponding directrix of this hyperbola, then $a^2−b^2$ is equal to
jeemain
2016
maths
set b
09042016
answered
May 29, 2017
by
meena.p
1
answer
The sum $\displaystyle\sum_{r =1}^{10} (r^2 + 1) \times (r!)$ is equal to :
jeemain 2016 maths set c 10042016
answered
May 29, 2017
by
priyanka.c
1
answer
Let $a_1, a_2, a_3, ......, a_n, .....$ be in A.P. If $a_3+a_7+a_11+a_15=72,$ then the sum of its $first\; 17\; terms$ is equal to :
jeemain 2016 maths set c 10042016
answered
May 29, 2017
by
priyanka.c
1
answer
If the coefficients of $x^{−2}$ and $x^{−4}$ in the expansion of $\begin{align*} \begin{bmatrix}x^{\frac{1}{3}}+ \frac{1}{2x^{\frac{1}{3}}} \end{bmatrix}^{18}, (x>0) \end{align*}$ are $m$ and $n$ respectively, then $\frac{m}{n}$ is equal to :
jeemain 2016 maths set c 10042016
answered
May 29, 2017
by
priyanka.c
1
answer
If $\begin{align*}\frac{^{n+2}C_6}{^{n-2}P_2} = 11, \end{align*}$ then $n$ satisfies the equation :
jeemain 2016 maths set c 10042016
answered
May 28, 2017
by
priyanka.c
1
answer
If $A = \begin{bmatrix} -4 & -1 \\ 3 & 1 \end{bmatrix},$ then the determinant of the matrix $(A^{2016} - 2A^{2015} - A^{2014})$ is :
jeemain 2016 maths set c 10042016
answered
May 28, 2017
by
priyanka.c
1
answer
Let $A$ be a $3×3$ matrix such that $A^2−5A+7I=O$.
Statement - I : $A^{-1} = \frac{1}{7}(5I - A)$
Statement - II :The polynomial $A^3−2A^2−3A+I$ can be reduced to $5(A−4I).$
Then :
jeemain 2016 maths set c 10042016
answered
May 28, 2017
by
priyanka.c
1
answer
Let $z=1+ai$ be a complex number, $a > 0$, such that $z^3$ is a real number. Then the sum $1+z+z^2+.....+z^{11}$ is equal to :
jeemain 2016 maths set c 10042016
answered
May 28, 2017
by
priyanka.c
1
answer
If x is a solution of the equation, $\sqrt{2x + 1} - \sqrt{2x - 1} = 1, \begin{pmatrix} x \geq \frac{1}{2} \end{pmatrix}$, then $\sqrt{4x^2-1}$ is equal to :
jeemain 2016 maths set c 10042016
answered
May 28, 2017
by
priyanka.c
1
answer
Let $P = \{ \theta : \sin \theta - \cos \theta = \sqrt 2 \cos \theta \}$ and $Q = \{ \theta : \sin \theta + \cos \theta = \sqrt 2 \sin \theta $ be two sets. Then :
jeemain 2016 maths set c 10042016
answered
May 28, 2017
by
priyanka.c
1
answer
Observation of “Rhumann’s purple” is a confirmatory test for the presence of :
jeemain 2016 chemistry set c 10042016
answered
May 28, 2017
by
priyanka.c
1
answer
Which of the following is a bactericidal antibiotic ?
jeemain 2016 chemistry set c 10042016
answered
May 28, 2017
by
priyanka.c
1
answer
The “N” which does not contribute to the basicity for the compound is :
jeemain 2016 chemistry set c 10042016
answered
May 28, 2017
by
priyanka.c
1
answer
Which of the following polymers is synthesized using a free radical polymerization technique ?
jeemain 2016 chemistry set c 10042016
answered
May 28, 2017
by
priyanka.c
1
answer
Fluorination of an aromatic ring is easily accomplished by treating a diazonium salt with HBF4. Which of the following conditions is correct about this reaction ?
jeemain 2016 chemistry set c 10042016
answered
May 28, 2017
by
priyanka.c
1
answer
The correct statement about the synthesis of erythritol $(C(CH_2OH)_4)$ used in the preparation of $PETN$ is :
jeemain 2016 chemistry set c 10042016
answered
May 28, 2017
by
priyanka.c
1
answer
Which one of the following reagents is not suitable for the elimination reaction ?<p>
jeemain 2016 chemistry set c 10042016
answered
May 28, 2017
by
priyanka.c
1
answer
Consider the reaction sequence below :
jeemain 2016 chemistry set c 10042016
answered
May 28, 2017
by
priyanka.c
1
answer
A circle passes through $(−2, 4)$ and touches the y-axis at $(0, 2)$. Which one of the following equations can represent a diameter of this circle ?
jeemain
2016
maths
set b
09042016
answered
May 26, 2017
by
meena.p
1
answer
To see more, click for all the
questions in this category
.
Home
Ask
Homework
Questions
Practice
...