AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
Due to the presence of nambidentate ligands coordination compounds show isomerism. Palladium complexes of the
type \( \left[\boldsymbol{P} \boldsymbol{d}\left(\boldsymbol{C}_{6} \boldsymbol{H}_{5}\right)_{2}\left(\boldsymbol{N} \boldsymbol{O}_{2}\right)_{2}\right] \) and
\( \left[\boldsymbol{P d}\left(\boldsymbol{C}_{6} \boldsymbol{H}_{5}\right)_{2}(\boldsymbol{O} \boldsymbol{N} \boldsymbol{O})_{2}\right] \) are?
A. Linkage isomers
B. Coordination isomers
c. lonisation isomers
D. Geometrical isomers
Subject: Physics
The diagram shows the stress v/s strain
curve for the materials \( A \) and \( B \). From
the curve:
A. \( A \) is brittle but \( B \) is ductile
B. \( A \) is ductile and \( B \) is brittle
c. Both \( A \) and \( B \) axe ductile
D. Both \( A \) and \( B \) axe brittle strain
Subject: Physics
Two masses are connected by a spring as shown in the figure. One of the
masses was given velocity \( v=2 k \) as
shown in figure where \( k \) is the spring
constant. Then maximum extension in
the spring will be? (initially spring is in natural length)
A . 2 m
в. \( m \)
\( \mathrm{c} \cdot \sqrt{2 m k} \)
D. \( \sqrt{3 m k} \)
Subject: Maths
Let \( \boldsymbol{f}(\boldsymbol{x}) \) be a polynomial in \( \mathbf{x} . \) The
second derivative of \( f\left(e^{x}\right) \) at \( x=1 \) is
\( \mathbf{A} \cdot e f^{\prime \prime}(e)+f^{\prime}(e) \)
В \( \cdot\left(f^{\prime \prime}(e)+f^{\prime}(e)\right) e^{2} \)
c. \( e^{2} f^{\prime \prime}(e) \)
D. \( \left(f^{\prime \prime}(e) e+f^{\prime}(e)\right) e \)
Subject: Physics
Two coherent waves are described by
the expressions \( E_{1}=E_{0} \sin \left(\frac{2 \pi x_{1}}{\lambda}-2 \pi f t+\frac{\pi}{6}\right) \)
\( E_{2}=E_{0} \sin \left(\frac{2 \pi x_{2}}{\lambda}-2 \pi f t+\frac{\pi}{8}\right) \)
Determine the relationship between \( \boldsymbol{x}_{1} \)
and \( x_{2} \) that produces constructive
interference when the two waves are
superposed
Subject: Physics
A charged particle of specific charge (charge/mass) \( \alpha \) is released from
origin at time \( t=0 \) with velocity \( \vec{v}= \)
\( v_{0}(\hat{i}+\hat{j}) \) in a uniform magnetic field
\( \vec{B}=B_{0} \hat{i} . \) Coordinates of the particle at
time \( t=\frac{\pi}{B_{0} \alpha} \) are
A \( \cdot\left(\frac{v_{0}}{2 B_{0} \alpha}, \frac{\sqrt{2} v_{0}}{\alpha B_{0}}, \frac{-v_{0}}{B_{0} \alpha}\right) \)
В \( \cdot\left(\frac{-v_{0}}{2 B_{0} \alpha}, 0,0\right) \)
\( ^{\mathbf{C}} \cdot\left(0, \frac{2 v_{0}}{B_{0} \alpha}, \frac{v_{0} \pi}{2 B_{0} \alpha}\right) \)
D \( \cdot\left(\frac{v_{0} \pi}{B_{0} \alpha}, 0, \frac{-2 v_{0}}{B_{0} \alpha}\right) \)
Subject: Maths
A man is moving away from a tower 41.6 \( \mathrm{m} \) high at a rate of \( 2 \mathrm{m} / \mathrm{s} \). If the eye level of the man is \( 1.6 \mathrm{m} \) above the ground,
then the rate at which the angle of elevation of the top of the tower changes, when he is at a distance of 30
\( \mathrm{m} \) from the foot of the tower, is
\( A \cdot-\frac{4}{125} \mathrm{rad} / \mathrm{s} \)
B. \( -\frac{2}{25} \) rad/s
c. \( -\frac{1}{625} \) rad/s
D. none of these
Subject: Chemistry
In the reaction \( 2 X+B_{2} H_{6} \rightarrow \)
\( \left[B H_{2} X_{2}\right]^{+}\left[B H_{4}\right]^{-} \) the amine(s) \( X \) is
\( (a r e): \)
This question has multiple correct options
A . \( N H_{3} \)
в. \( C H_{2} N H_{2} \)
c. \( \left(C H_{3}\right)_{2} N H \)
D. \( \left(C H_{3}\right)_{3} N \)
Subject: Chemistry
Which of the following transition in
\( H e^{+} \) ion emits light of wavelength
equal to the longest wavelength emitted in the Paschen series H-atom?
\( \mathbf{A} \cdot 9 \rightarrow 6 \)
B . \( 8 \rightarrow 6 \)
c. \( 8 \rightarrow 4 \)
D. none of these
Subject: Physics
The Young's modulus for steel is \( Y= \) \( 2 \times 10^{11} N / m^{2} . \) If the inter-atomic
distance is \( 3.2 A \) the inter atomic force
constant in N/A will be
A \( .6 .4 \times 10^{9} \)
B. \( 6.4 \times 10^{-9} \)
c. \( 3.2 \times 10^{9} \)
D. \( 3.2 \times 10^{-9} \)
Subject: Physics
You are standing upright in a room in front of a vertical mirror. In this mirror,
you can see from your position, only the upper two- third part of your body. You
wish to see the full image of your body
in the mirror. Which combination of the
following three courses of action will achieve this? I. Move away from the mirror II. Move towards the mirror III.
Use a mirror whose height will allow you
to see your full image
A. I only
B. II only
c. III only
D. Either I or III
Subject: Chemistry
Assertion
Diamond and graphite are allotropes of carbon
Reason
Some elements can have several
different structural forms while in the
same physical state. These differing forms are called allotropes.
A. If both Assertion and Reason are correct and Reason is the correct explanation of Assertion
B. If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion
c. If Assertion is correct but Reason is incorrect
D. If Assertion is incorrect but Reason is correct
Subject: Maths
Find vector equation of line passing through the point whose position vector
is \( \mathbf{3} \hat{\mathbf{i}}-\mathbf{4} \hat{\mathbf{j}}+\hat{\boldsymbol{k}} \) and parallel to the vector
\( 2 \hat{i}+\hat{j}-3 \hat{k} . \) Also write the equation in
Cartesian form.
Subject: Physics
Three charges \( +q,-q \) and \( -q \) are kept at
the vertices of an equilateral triangle of \( 10 \mathrm{cm} \) side. The potential at the mid point in between \( -q,-q, \) if \( q=5 \mu C \) is :
A . \( -6.4 \times 10^{5} V \)
B. \( -12.8 \times 10^{4} V \)
c. \( -6.4 \times 10^{4} V \)
D. \( -12.8 \times 10^{5} V \)
Subject: Physics
A uniform wire of length \( l \) is bent into
the shape of \( V \) as shown. The distance
of its centre of mass from the vertex \( \boldsymbol{A} \)
is
A \( . l / 2 \)
B. \( \frac{1 \sqrt{3}}{1} \)
\( \frac{1 \sqrt{3}}{8} \)
D. None of these
Subject: Physics
Obtain an expression for e.m.f. induced in a coil rotating with uniform angular velocity in a uniform magnetic field. Show graphically the variation of e.m.f.
with time \( (t) \)

Resistance of a potentiometer wire is \( 0.1 \Omega / c m . \) A cell of e.m.f. \( 1.5 V \) is balanced at \( 300 \mathrm{cm} \) on this
potentiometer wire. Calculate the current and balancing length for
another cell of e.m.f. \( 1.4 \mathrm{V} \) on the same
potentiometer wire
Subject: Maths
If \( f(x)=\int_{0}^{x} t(\sin x-\sin t) d t \) then?
A \( \cdot f^{\prime \prime \prime}(x)+f^{\prime}(x)=\cos x-2 x \sin x \)
B . \( f^{\prime \prime \prime}(x)+f^{\prime \prime}(x)-f^{\prime}(x)=\cos x \)
C. \( f^{\prime \prime \prime}(x)-f^{\prime \prime}(x)=\cos x-2 x \sin x \)
D. \( f^{\prime \prime \prime}(x)+f^{\prime \prime}(x)=\sin x \)
Subject: Chemistry
The correct electronic configuration of
neutral \( C a \) and \( O \) are respectively:
\( \mathbf{A} \cdot C a:[A r] 4 s^{2} \)
\( O:[H e] 2 s^{2} 2 p^{4} \)
B . \( C a:[A r] 3 s^{2} \)
\( O:[H e] 2 s^{2} 2 p^{5} \)
\( \mathbf{c} \cdot \operatorname{Ca}:[A r] 4 s^{2} \)
\( O:[H e] 2 s^{2} 2 p^{6} \)
\( \mathbf{D} \cdot \operatorname{Ca}:[A r] 4 s^{2} \)
\( O:[H e] 2 s^{2} 2 p^{2} \)
Subject: Maths
The general solution of the differential equation, \( \sin 2 x\left(\frac{d y}{d x}-\sqrt{\tan x}\right)-y= \)
\( 0, \) is
\( \mathbf{A} \cdot y \sqrt{\tan x}=x+c \)
B. \( y \sqrt{\cot x}=\tan x+c \)
c. \( y \sqrt{\tan x}=\cot x+c \)
D. \( y \sqrt{\cot x}=x+c \)
Subject: Biology
Differentiate between the following pairs on the basis of what is mentioned in brackets :
(i) Photolysis and Photophosphorylation (Definition)
(ii) Bicuspid valve and Tricuspid valve. (Function)
(iii) Vasectomy and Tubectomy. (Explain)
(iv) Cerebrum and Spinal cord. (Arrangement of nerve cells)
(v) Bowman's capsule and Malpighian
capsule. (Parts included)
Subject: Physics
Arrange the following data according to the increasing order of Radius of
curvature of the given plano convex lenses
a) plano convex lens of \( f=40 \mathrm{cm} \) and
\( \mu=1.5 \)
b) plano convex lens of \( f=20 \mathrm{cm} \) and
\( \mu=1.6 \)
c) plano convex lens of \( f=20 \mathrm{cm} \) and
\( \mu=1.5 \)
d) plano convex lens of \( f=25 \mathrm{cm} \) and
\( \mu=1.5 \)
\( \mathbf{A} \cdot \mathbf{b}, \mathbf{a}, \mathrm{d}, \mathrm{c} \)
B. \( a, b, c, d \)
\( c \cdot c, b, d, a \)
D. \( c, b, a, d \)
Subject: Physics
A ray of light is incident normally on one refracting surface of an equilateral
prism. If the refractive index of the
material of the prism is \( 1.5, \) then:
A. the emergent ray is deviated by \( 30^{\circ} \)
B. the emergent ray is deviated by \( 60^{\circ} \)
C. the emergent ray just graces the second reflecting surface
D. the ray undergoes total internal reflection at second refracting surface
E. the ray emerges normally from the second refracting surface
Subject: Chemistry
Product \( (A) \) and \( (B) \) in above reaction is
\( \begin{array}{c}o \\ o^{-}-S\end{array}-O-H, O^{-}-S-O-C H_{3} \)
в. \( \begin{array}{c}o \\ o^{-}-S_{-}^{\prime}\end{array}-\begin{array}{c}^{o} \\ _{o^{-}}\end{array} \)
\( c \)
Subject: Chemistry
Assertion
Borax bead test is applicable only to coloured salts.
Reason
In borax bead test, coloured salts are
decomposed to give coloured metal
metaborates.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect
Subject: Chemistry
One mole of 1,2-dibromopropane on
treatment with \( \boldsymbol{X} \) moles of \( \boldsymbol{N} \boldsymbol{a} \boldsymbol{N} \boldsymbol{H}_{2} \)
followed by treatment with ethyl
bromide gave a 2 -pentyne. The value of \( \boldsymbol{X} \) is:
A. one
B. two
c. three
D. four
Subject: Maths
The missing value in \( \ldots \ldots \ldots+\frac{2}{7}=\frac{2}{7}+ \)
\( \frac{-11}{13} \) is
A \( \cdot \frac{2}{7} \)
в. \( \frac{-11}{13} \)
c. \( \frac{-2}{7} \)
D. \( \frac{11}{13} \)
Subject: Physics
A wave of frequency \( 100 \mathrm{Hz} \) is sent
along a string towards a fixed end.
When this wave travels back after
reflection, a node is formed at a distance of \( 10 \mathrm{cm} \) from the fixed end of
the string. The speeds of incident(and reflected) waves are?
A \( .5 \mathrm{cms}^{-1} \)
B. \( 10 \mathrm{cms}^{-1} \)
c. \( 20 \mathrm{cms}^{-1} \)
D. \( 40 \mathrm{cms}^{-1} \)
Subject: Maths
Let \( \triangle A B C \sim \triangle D E F \) and their areas
be \( 64 \mathrm{cm}^{2} \) and \( 121 \mathrm{cm}^{2} \) respectively. If
\( \boldsymbol{E F}=\mathbf{1 5 . 4} \boldsymbol{c m}, \) find \( \boldsymbol{B C} \)
Subject: Maths
The area (in square units) of the region
bounded by \( \boldsymbol{x}=-\mathbf{1}, \boldsymbol{x}=\mathbf{2}, \boldsymbol{y}=\boldsymbol{x}^{2}+\mathbf{1} \)
and \( y=2 x-2 \) is
A . 10
B. 7
\( c \cdot 8 \)
D.
Subject: Maths
\( A \) and \( B \) are two points and \( C \) is any
point collinear with \( A \) and \( B . \) IF \( A B= \)
\( \mathbf{1 0}, \boldsymbol{B C}=\mathbf{5}, \) then \( \boldsymbol{A} \boldsymbol{C} \) is equal to:
A. either 15 or 5
B. necessarily 5
c. necessarily 16
D. none of these
Subject: Maths
The co-efficient of \( x^{53} \) in the expression \( \sum_{m=0}^{100} 100 c_{m}(x-3)^{100-m} 2^{m} \) is
B. \( 98_{c_{53}} \)
\( \mathbf{c} .^{65} \sigma_{53} \)
D. \( 100 c_{65} \)
Subject: Maths
The first 3 terms in the expansion of \( (1+a x)^{n}(n \neq 0) \) are \( 1,6 x \) and \( 16 x^{2} \)
Then the value of \( a \) and \( n \) are
respectively
A . 2 and 9
B. 3 and 2
c. \( 2 / 3 \) and 9
D. \( 3 / 2 \) and 6
Subject: Maths
If on division of a polynomial \( p(x) \) by a polynomial \( g(x), \) the quotient is zero, what is the relation between the \( \operatorname{degrees} \) of \( p(x) \) and \( g(x) ? \)
\( A \cdot \operatorname{deg} p(x)<\operatorname{deg} g(x) \)
B. \( \operatorname{deg} p(x)>\operatorname{deg} g(x) \)
c. cannot be determined
D. can't say
Subject: Maths
Solve graphically the linear inequalities \( 2 x+3 y \leq 7, x+2 y \leq 4 \)
\( \boldsymbol{x} \geq \mathbf{0}, \boldsymbol{y} \geq \mathbf{0} \)
If \( z=6 x+5 y \) is the objective function
find its maximum value.
Subject: Chemistry
We define p value of a term (say \( x \) ) as
\( p_{x}=-\log x . \) Sea water contains an
average of \( 1.08 \times 10^{3} \) ppm of \( N a^{+} \) and
270 ppm of \( S O_{4}^{2-} . \) Calculate \( 2 p_{S O_{4}^{2-}} \) for sea water.
[Write value to the nearest integer].
Subject: Physics
Which would most likely cause a greater burn would if applied to someone's skin:
A: 100 grams of water at the boiling point
or
B: 100 grams of steam at the boiling
point and why?
A. B: 100 grams of steam would most likely cause a greater wound because it is at a lower temperature
B. A: 100 grams of water would most likely cause a greater wound because it is more dense
c. в: 100 grams of steam would most likely cause a greater wound because it is at a higher temperature
D. A: 100 grams of water would most likely cause a greater wound because it has not yet "boiled away" its heat
E. B: 100 grams of steam would most likely cause a greater wound because it gives heat to the skin in changing to liquid; then it gives heat in lowering temperature to that of the skin
Subject: Physics
A light rod of length \( 2 m \) is suspended
from the ceiling horizontally by means
of two vertical wires of equal length tied to its ends. One of the wires is made of
steel and is of cross section \( 0.1 \mathrm{cm}^{2} . \) A
weight is suspended from a certain
point of the rod such that equal stress are produced in both the wires.Which of the following are correct?
This question has multiple correct options
A. The ratio of tension in the steel and brass wires is 0.5
B. The load is suspended at a distance of \( 400 / 3 c m \) from the steel wire
c. Both (a) and
(b) are correct
D. Neither
(a) nor
(b) are correct
Subject: Physics
Photo-diode is operated in reverse bias
because
A. When the diode is reversed biased, no ordinary current flows and the detection of the photo-current is much easier
B. When the diode is reversed biased, ordinary current flows and the detection of the photo-current is much easier
C. In reverse biased it will conduct a lot of current and can't detect the small amount of excess current produced by the photoelectric effect
D. All of the above
Subject: Physics
Focal length of the plano-convex lens is
\( 15 \mathrm{cm} . \) A small object is placed at \( A \) as
shown in the figure. The plane surface is silvered. The image will form at
A. \( 60 \mathrm{cm} \) to the left of lens
B. \( 12 c m \) to the left of lens
\( \mathrm{c} .60 \mathrm{cm} \) to the right of lens
D. \( 30 c m \) to the left of lens
Subject: Physics
The energy levels of a certain atom for
1st, 2nd and 3rd levels are \( \mathrm{E}, 4 \mathrm{E}_{1 \rightarrow 3} \) and
2E respectively. A photon of wavelength
\( \lambda \) is emitted for a transition \( 3 \rightarrow 1 \)
What will be the wavelength of emissions for transition \( 2 \rightarrow 1: \)
\( A \cdot \lambda / 3 \)
в. \( 4 \lambda / 3 \)
c. \( 3 \lambda / 4 \)
D. \( 3 \lambda \)
Subject: Chemistry
Which of the above given metal oxides
can be reduced by \( \boldsymbol{F} \boldsymbol{e} \) (reducing
agent) to its respective metal at
temperature \( \boldsymbol{T}_{\mathbf{1}} \) ?
\( A \cdot Z r O_{2} \)
B. \( C a O \)
\( c . M g O \)
D. None of the above
Subject: Maths
\( \mathrm{IF} \mathrm{A}=\left|\begin{array}{ll}\mathbf{1} & \mathbf{0} \\ \mathbf{1} & \mathbf{0}\end{array}\right| \) And \( \mathrm{B}=\left|\begin{array}{ll}\mathbf{1} & \mathbf{0} \\ \mathbf{0} & \mathbf{1}\end{array}\right| \) then \( \mathbf{A}+\mathbf{B}= \)
\( A \cdot A \)
B. B
c. \( \mid \begin{array}{ll}2 & 0 \\ 1 & 1\end{array} \)
D. \( \left|\begin{array}{ll}0 & 2 \\ 2 & 2\end{array}\right| \)
Subject: Maths
Find the general solution of the differential equation:
\( \boldsymbol{x} \boldsymbol{d} \boldsymbol{y}-\boldsymbol{y} \boldsymbol{d} \boldsymbol{x}=\sqrt{\boldsymbol{x}^{2}+\boldsymbol{y}^{2}} \boldsymbol{d} \boldsymbol{x} \)
Subject: Chemistry
A. Natural rubber is an elastomer.
R. The inter-molecular forces of
attraction between the polymer chains
are weak vander Waals forces.
A. Both A and R are correct and R is the correct explanation of the \( A \)
B. Both A and R are correct but R is not the correct explanation of the \( A \)
\( \mathrm{c} \). A is correct but \( \mathrm{R} \) is in correct
D. A is incorrect but R is correct
Subject: Maths
\( \int \frac{x^{2}\left(x \sec ^{2} x+\tan x\right)}{(x \tan x+1)^{2}} d x \)
\( \mathbf{A} \cdot x^{2}\left[-\frac{1}{x \tan x+1}\right]+2 \log (x \sin x+\cos x)+C \)
B \( \cdot x^{2}\left[\frac{1}{x \tan x+1}\right]+2 \log (\sin x+x \cos x)+C \)
\( \mathbf{c} \cdot x\left[-\frac{1}{x \tan x+1}\right]+2 \log (\sin x+x \cos x)+C \)
D \( \cdot x\left[\frac{1}{x \tan x+1}\right]+2 \log (x \sin x+\cos x)+C \)
Subject: Chemistry
Which of the following are the best
methods for the preparation of cumene
\( (A) ? \)
This question has multiple correct options
\( A \)
\[
\bigcirc+\mathrm{Me} \frown^{\mathrm{Cl}}+\mathrm{AlCl}_{3} \longrightarrow(\mathrm{A})
\]
B.
\[
\left.\bigcirc+\sum_{\mathrm{Me}}^{\mathrm{Me}}\right\rangle-\mathrm{Cl}+\mathrm{AlCl}_{3} \longrightarrow(\mathrm{A})
\]
\( c \)
\[
\left.\bigcirc+\frac{\mathrm{Me}}{\mathrm{Me}}\right\rangle-\mathrm{OH}+\mathrm{BF}_{3} \longrightarrow(\mathrm{A})
\]
\( D \)
\[
\widehat{\bigcirc}+\underbrace{\mathrm{Me}}_{\mathrm{Me}}\rangle=-\frac{\mathrm{H}_{3} \mathrm{PO}_{4}}{\longrightarrow}(\mathrm{A})
\]
Subject: Maths
The solution of the equation \( \frac{d y}{d x}= \) \( \frac{x(2 \log x+1)}{\sin y+y \cos y} \) is
A \( \cdot y \sin y=x^{2} \log x+C \)
B . \( y=x^{2}+\log x+C \)
C \( \cdot y \sin y=x^{2}+C \)
D. None of the above
Subject: Physics
A piece of metal weighs \( 46 \mathrm{g} \) in air. When immersed in a liquid of specific
gravity 1.24 at \( 27^{0} \) it weighs 30 g. When the temperature of the liquid is raised
to \( 42^{0} \) in a liquid of specific gravity 1.20 it weighs \( 30.5 g . \) The coefficient of linear expansion of metal is
A \( .2 .23 \times 10^{-5} /^{0} C \)
B . \( 6.7 \times 10^{-5} /^{0} C \)
c. \( 4.46 \times 10^{-5} /^{0} C \)
D. none of these
Subject: Physics
In the circuit shown, the value of
currents \( I_{1}, I_{2} \) and \( I_{3} \) are
' 3 A, \( \frac{-3}{2} A, \frac{9}{2} \),
3. \( \frac{9}{2} A, 3 \) A, \( \frac{-3}{2} \) A
c. \( 5 A, 4 A,-3 \) f
\( 7 A, \frac{5}{4} A, \frac{9}{2} A \)
Subject: Physics
Match the column:
a. optic nerve
i. coloured part of the eye
ii. refracts light and focuses a
b. ciliary muscle real image on the back of eye
iii. it can increase or decrease
c. lens \( \quad \) the thickness of lens
¡v. carries information to the
d.iris \( \quad \) brain about light that strikes the retina
\( A \cdot a-i, b-i i i, c-i v, d-i i \)
B. a-ii,b-i,c-iv,d-iii
C \( . a-i \) ii, b-iv,c-i,d-ii
D. a-iv,b-iii,c-ii,d-i
Subject: Chemistry
Consider the following equilibrium system: \( S O_{2}(g)+\frac{1}{2} O_{2}(g) \rightleftharpoons S O_{3}(g) \)
set up in a cylinder fitted with a piston. Some inert gas is added and the piston is moved outwards to keep the total
gaseous pressure constant. Predict which of the following is true?
A. Addition of inert gas does not affect the equilibrium
B . Less \( S O_{2}(g) \) is produced
c. More \( S O_{2}(g) \) is produced
D. The system moves to new equilibrium position which cannot be predicted theoritically
Subject: Physics
On making a coil of copper wire of length I and coil radius \( r, \) the value of self inductance is obtained as \( L \). If the
coil of same wire, but of coil radius r/2, is made, the value' of self inductance will be- -
A . 2L
B. 4L
\( c \cdot L / 2 \)
\( D \cdot L / 3 \)
Subject: Maths
If \( z_{1}, z_{2}, z_{3}, \) and \( z_{4} \) are the complex roots
of the equation \( z^{4}+3 z^{2}+1=0, \) then
the value of \( \prod_{i=1}^{4} 4+\left(z_{i}^{2}\right) \) is
\( \mathbf{A} \cdot \mathbf{9} \)
B. 12
c. 25
D. 27
Subject: Maths
The height of 30 boys of a class are
given in the following table :
Height in cm Frequency
\[
\begin{array}{ll}
120-129 & 2 \\
130-139 & 8 \\
140-149 & 10 \\
150-159 & 7 \\
150-159 & 3
\end{array}
\]
If by joining a boy of height \( 140 \mathrm{cm}, \) the median of the heights is changed from
\( M_{1} \) to \( M_{2}, \) then \( M_{1}-M_{2}, \) in cm is
A . \( 0 . \)
B . -0.1
c. 0
D. 0.2
Subject: Physics
toppr
Q Type your question
\( \int_{0}^{1} \frac{1}{1} \)
\( A \)
\begin{tabular}{|c|c|c|}
\hline \( \mathbf{A} \) & \( \mathbf{B} \) & \( \mathbf{Y} \) \\
\hline \( \mathbf{0} \) & \( \mathbf{0} \) & \( \mathbf{0} \) \\
\hline \( \mathbf{0} \) & \( \mathbf{1} \) & \( \mathbf{1} \) \\
\hline \( \mathbf{1} \) & \( \mathbf{0} \) & \( \mathbf{1} \) \\
\hline \( \mathbf{1} \) & \( \mathbf{1} \) & \( \mathbf{0} \) \\
\hline
\end{tabular}
\( B \)
\begin{tabular}{|c|c|c|}
\hline \( \mathbf{A} \) & \( \mathbf{B} \) & \( \mathbf{Y} \) \\
\hline \( \mathbf{0} \) & \( \mathbf{0} \) & \( \mathbf{0} \) \\
\hline \( \mathbf{0} \) & \( \mathbf{1} \) & \( \mathbf{0} \) \\
\hline \( \mathbf{1} \) & \( \mathbf{0} \) & \( \mathbf{1} \) \\
\hline \( \mathbf{1} \) & \( \mathbf{1} \) & \( \mathbf{1} \) \\
\hline
\end{tabular}
\( c \)
\begin{tabular}{|c|c|c|}
\hline \( \mathbf{A} \) & \( \mathbf{B} \) & \( \mathbf{Y} \) \\
\hline \( \mathbf{0} \) & \( \mathbf{0} \) & \( \mathbf{1} \) \\
\hline \( \mathbf{0} \) & \( \mathbf{1} \) & \( \mathbf{1} \) \\
\hline \( \mathbf{1} \) & \( \mathbf{0} \) & \( \mathbf{0} \) \\
\hline \( \mathbf{1} \) & \( \mathbf{1} \) & \( \mathbf{0} \) \\
\hline
\end{tabular}
\( D \)
\begin{tabular}{|c|c|c|}
\hline \( \mathbf{A} \) & \( \mathbf{B} \) & \( \mathbf{Y} \) \\
\hline \( \mathbf{0} \) & \( \mathbf{0} \) & \( \mathbf{1} \) \\
\hline \( \mathbf{0} \) & \( \mathbf{1} \) & \( \mathbf{0} \) \\
\hline \( \mathbf{1} \) & \( \mathbf{0} \) & \( \mathbf{0} \) \\
\hline \( \mathbf{1} \) & \( \mathbf{1} \) & \( \mathbf{1} \) \\
\hline
\end{tabular}
Subject: Physics
A plane mirror \( 50 \mathrm{cm} \) long, is hung on a vertical wall of a room,with its lower
edge \( 50 \mathrm{cm} \) above the ground.A man stands infront of the mirror at a
distance \( 2 \mathrm{m} \) away from the mirror. If his eyes are at a height \( 1.8 \mathrm{m} \) above the ground,then the length (distance between the extreme points of the visible region perpendicular to the mirror) of the floor visible to him due to reflection from the mirror is \( \frac{x}{26} \) m. Find the value of \( x \).
Subject: Maths
A brick whose length, breadth and height are \( 5 \mathrm{m}, 6 \mathrm{m}, \) and \( 7 \mathrm{m} \) respectively. Find the surface area of the brick.
A . 214 \( m^{2} \)
B . 202 \( m^{2} \)
c. \( 201 m^{2} \)
D. 210 \( m^{2} \)
Subject: Maths
If the cost of \( x \) metres of wire is \( d \)
rupees, then what is the cost of \( y \)
metres of wire at the same rate?
A \( \cdot \) Rs. \( x \frac{d}{y} \)
B. Rs. \( x d \)
c. Rs. \( y \frac{d}{x} \)
D. Rs. \( y d \)
Subject: Physics
Two planets \( A \) and \( B \) have their radii in
the ratio of 2: 5 and densities in the
ratio of 1: 6 respectively. Which of the
following statements is NOT true regarding the given information?
A. The ratio of acceleration due to gravity on them is 1 :
15
B. For the same volume of planets, mass of planet \( A \) is greater than that of planet \( B \)
c. A body weighs 15 times more on planet \( B \) than on planet \( A \)
D. Planet \( B \) has greater volume than planet \( A \)
Subject: Physics
Assertion
Aeroplanes always fly at low altitudes.
Reason
According to Newton's third law of
motion, for every action there is an
equal and opposite reaction.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
C. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect
Subject: Chemistry
Ammonia contains \( 82.65 \% N_{2} \) and
\( 17.65 \% H_{2} . \) If the law of constant
proportions is true, then the mass of zinc required to give 10 g ammonia will be:
A. 8.265 g
в. \( 0.826 \mathrm{g} \)
c. \( 82.65 \mathrm{g} \)
D. 826.5 \( g \)