AP EAPCET 2021 - 20th August Morning Shift

Paper was held on
Fri, Aug 20, 2021 3:30 AM

## Chemistry

The number of protons, neutrons and electrons in $$_6^{13}$$C respectively are

View Question The masses of an electron, a proton and a neutron respectively will be n the ratio

View Question Match the following species with the correct number of electrons present in them.
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View Question The correct order of electronegativity of carbon in various hybridisation states is

View Question Which of the following is not arranged in the correct sequence?

View Question Which of the following statement is incorrect?

View Question Bond order is an inverse measure of

View Question Which of the following molecule has the maximum dipole moment?

View Question Which compound among the following will
have a permanent dipole moment?

View Question Which among the following statements is/are
incorrect regarding real gases?
(i) Their compressibility factor is never eq

View Question Which among the following species does not show disproportionation reaction?

View Question An alloy of metals X and Y weighs 12 g and
contains atoms X and Y in the ratio of 2 : 5.
The percentage of metal X in th

View Question For the reaction, $$\mathrm{H}_2 \mathrm{O}(l) \longrightarrow \mathrm{H}_2 \mathrm{O}(\mathrm{g})$$ at $$T=100^{\circ}

View Question At $$60^{\circ} \mathrm{C}$$, dinitrogen tetroxide is dissociated. Find it's standard free energy change at this tempera

View Question The solubility of $$\operatorname{AgBr}(s)$$, having solubility product $$5 \times 10^{-10}$$ in $$0.2 \mathrm{~M} \math

View Question Le-Chatelier's principle is not applicable to

View Question Which of the following does not form double
salts?

View Question $$\mathrm{AlF}_3$$ is soluble in HF only in the presence of KF due to formation of

View Question What would be the product of following reaction?
$$\mathrm{SiCl}_4 \stackrel{\text { Excess of } \mathrm{H}_2 \mathrm{O}

View Question Which among the following is not a greenhouse gas?

View Question An organic compound of molecular formula
$$\mathrm{C_6H_6Br_2}$$ has six carbon atoms in a ring
system, two non-conjugat

View Question Using Kjeldahl’s method over 1g of a soil
sample, the ammonia evolved could neutralise
25 mL of 1 M H$$_2$$SO$$_4$$. The

View Question Which compound among the following is
most reactive towards electrophilic reagents?

View Question Which of the following is not explained by hyperconjugation?

View Question In the face centered unit cell, the lattice points are present at

View Question If the $$K_{\mathrm{H}}$$ values for $$\operatorname{Ar}(g), \mathrm{CO}_2(g), \mathrm{HCHO}(g)$$ and $$\mathrm{CH}_4(\m

View Question If 500 mL of CaCl$$_2$$ solution contains 3.01 $$\times$$ 10$$^{22}$$ chloride ions, molarity of the solution will be

View Question Which statement among the following is incorrect?

View Question For zero order reaction, a plot of $$t_{1 / 2}$$ versus
$$[A]_0$$ will be

View Question If hydrogen electrons dipped in two solutions
of pH = 3 and pH = 6 are connected by a salt
bridge, the emf of the result

View Question In an adsorption experiment, a graph between $$\log (x / m)$$ versus $$\log p$$ was found to be linear with a slope of $

View Question The correct order of sulphur-oxygen bond in $$\mathrm{SO}_3, \mathrm{~S}_2 \mathrm{O}_3^{2-}$$ and $$\mathrm{SO}_4^{2-}$

View Question Potassium cyanide is made alkaline with
NaOH and boiled with thiosulphate ions.
The solution is cooled and acidified wit

View Question Which among the following is coloured?

View Question Which of the following complexes formed by nickel is tetrahedral and paramagnetic?

View Question Vitamin-B$$_1$$ is

View Question Identify the product of the following reaction.

View Question The correct order of acidic strength among the following is

View Question Identify (Z) in the following reaction.
$$\mathrm{C{H_3}COOH\buildrel {LiAl{H_4}} \over
\longrightarrow (X)\mathrel{\ma

View Question Identify the major product of the following reaction.

View Question ## Mathematics

$$f(x)=\sin x+\cos x \cdot g(x)=x^2-1$$, then $$g(f(x))$$ is invertible if

View Question If $$f: z \rightarrow z$$ is defined by $$f(x)=x^9-11 x^8-2 x^7+22 x^6+x^4 -12 x^3+11 x^2+x-3, \forall x \in z$$, then $

View Question Let $$f(x)=x^3$$ and $$g(x)=3^x$$, then the quadratic equation whose roots are solutions of the equation $$(f \circ g)(x

View Question The trace of the matrix $$A=\left[\begin{array}{ccc}1 & -5 & 7 \\ 0 & 7 & 9 \\ 11 & 8 & 9\end{array}\right]$$ is

View Question If $$A, B$$ and $$C$$ are the angles of a triangle, then the system of equations
$$-x+y \cos C+z \cos B=0, x \cos C-y+z

View Question If $$\left[\begin{array}{cc}1 & -\tan \theta \\ \tan \theta & 1\end{array}\right]\left[\begin{array}{cc}1 & \tan \theta

View Question If $$z_1=2+3 i$$ and $$z_2=3+2 i$$, where $$i=\sqrt{-1}$$, then $$\left[\begin{array}{cc}z_1 & z_2 \\ -\bar{z}_2 & \bar{

View Question What is the value of $$\left|\begin{array}{ccc}a & b & c \\ a-b & b-c & c-a \\ b+c & c+a & a+b\end{array}\right|$$ ?

View Question The radius of the circle represented by $$(1+i)(1+3i)(1+7i)=x+iy$$ is $$(i=\sqrt{-1})$$.

View Question If $$1, \alpha_1, \alpha_2, \alpha_3$$ and $$\alpha_4$$ are the roots of $$z^5-1=0$$ and $$\omega$$ is a cube root of un

View Question If $$a > 0$$ and $$z=x+i y$$, then
$$\log _{\cos ^2 \theta}|z-a|>\log _{\cos ^2 \theta}|z-a i|,(\theta \in R)$$
implies

View Question If one root of the equation $$i x^2-2(i+1) x+(2-i)=0$$ is $$(2-i)$$, then the other root is

View Question If $$\alpha$$ and $$\beta$$ are the roots of the quadratic equation $$x^2+x+1=0$$, then the equation whose roots are $$\

View Question If $$2, 1$$ and $$1$$ are roots of the equation $$x^3-4 x^2+5 x-2=0$$, then the roots of $$\left(x+\frac{1}{3}\right)^3-

View Question If $$f(x)=2x^3+mx^2-13x+n$$ and 2, 3 are the roots of the equation $$f(x)=0$$, then the values of m and n are

View Question The value of $${ }^6 P_4+4 \cdot{ }^6 P_3$$ is

View Question The number of ways in which 3 boys and
2 girls can sit on a bench so that no two boys
are adjacent is

View Question In how many ways can 5 balls be placed in
4 tins if any number of balls can be placed in
any tin?

View Question Given, $$\frac{3 x-2}{(x+1)^2(x+3)}=\frac{A}{x+1} +\frac{B}{(x+1)^2}+\frac{C}{x+3}$$, then $$4 A+2 B+4 C$$ is equal to

View Question What is the value of $$\cos \left(22 \frac{1}{2}\right)^{\circ}$$ ?

View Question If $$\cos \theta=-\sqrt{\frac{3}{2}}$$ and $$\sin \alpha=\frac{-3}{5}$$, where '$$\theta$$' does not lie in the third qu

View Question If $$\tan \beta=\frac{\tan \alpha+\tan \gamma}{1+\tan \alpha \tan \gamma}$$, then $$\frac{\sin 2 \alpha+\sin 2 \gamma}{1

View Question If $$\sin \left(\frac{\pi}{4} \cos \theta\right)=\cos \left(\frac{\pi}{4} \tan \theta\right)$$, then $$\theta$$ is equal

View Question If $$x=\sin \left(2 \tan ^{-1} 2\right), y=\cos \left(2 \tan ^{-1} 3\right)$$ and $$z=\sec \left(3 \tan ^{-1} 4\right)$$

View Question In $$\triangle A B C$$, medians $$A D$$ and $$B E$$ are drawn. If $$A D=4, \angle D A B=\frac{\pi}{6}$$ and $$\angle A B

View Question In a $$\triangle A B C, 2 \Delta^2=\frac{a^2 b^2 c^2}{a^2+b^2+c^2}$$, then the triangle is

View Question The sides of a triangle inscribed in a given circle subtend angles $$\alpha, \beta, \gamma$$ at the center. The minimum

View Question The position vectors of the points $$A$$ and $$B$$ with respect to $$O$$ are $$2 \hat{\mathbf{i}}+2 \hat{\mathbf{j}}+\ha

View Question Let $$\mathbf{u}=2 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}+\hat{\mathbf{k}}, \mathbf{v}=-3 \hat{\mathbf{i}}+2 \hat{\mathbf{j

View Question If the lines, $$\frac{x-3}{2}=\frac{y-2}{3}=\frac{z-1}{\lambda}$$ and $$\frac{x-2}{3}=\frac{y-3}{2}=\frac{z-2}{3}$$ are

View Question If a = (1, 1, 0) and b = (1, 1, 1), then unit vector in the plane of a and b and perpendicular to a is

View Question The line passing through $$(1,1,-1)$$ and parallel to the vector $$\hat{\mathbf{i}}+2 \hat{\mathbf{j}}-\hat{\mathbf{k}}$

View Question Let $$\mathbf{a}=\hat{\mathbf{i}}$$ and $$\mathbf{b}=\hat{\mathbf{j}}$$, the point of intersection of the lines $$\mathb

View Question The mean deviation from the mean of the set
of observation $$-1,0,4$$ is

View Question Let an angle of a triangle is 60$$^\circ$$. If the variance of the angles of the triangle is 1014$$^\circ$$, then the ot

View Question One card is selected at random from 27 cards
numbered form 1 to 27. What is the
probability that the number on the card

View Question Nine balls one drawn simultaneously from a bag containing 5 white and 7 black balls. The probability of drawing 3 white

View Question The probabilities that $$A$$ and $$B$$ speak truth are $$\frac{4}{5}$$ and $$\frac{3}{4}$$ respectively. The probability

View Question The mean and variance of a binomial variable
X are 2 and 1 respectively. The probability
that X takes values greater tha

View Question For the random variable X with probability distribution is given by the table
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View Question The locus of a point, which is at a distance of 4 units from $$(3,-2)$$ in $$x y$$-plane is

View Question When the axes are rotated through an angle
45$$^\circ$$, the new coordinates of a point P are
(1, $$-$$1). The coordinat

View Question Find the equation of a straight line passing through $$(-5,6)$$ and cutting off equal intercepts on the coordinate axes.

View Question Line has slope $$m$$ and $$y$$-intercept 4 . The distance between the origin and the line is equal to

View Question The equation of the base of an equilateral triangle is $$x+y=2$$ and one vertex is $$(2,-1)$$, then the length of the si

View Question The equation of a straight line which passes through the point $$\left(a \cos ^3 \theta, a \sin ^3 \theta\right)$$ and p

View Question The acute angle between lines $$6 x^2+11 x y-10 y^2=0$$ is

View Question If the lines, joining the origin to the points of intersection of the curve $$2 x^2-2 x y+3 y^2+2 x-y-1=0$$ and the line

View Question The equation of bisector of the angle between the lines represented by $$3 x^2-5 x y+4 y^2=0$$ is

View Question If the bisectors of the pair of lines $$x^2-2 m x y-y^2=0$$ is represented by $$x^2-2 n x y-y^2=0$$, then

View Question Find the equation of the circle which passes through origin and cuts off the intercepts $$-$$2 and 3 over the $$X$$ and

View Question The angle between the pair of tangents drawn from $$(1,1)$$ to the circle $$x^2+y^2+4 x+4 y-1=0$$ is

View Question If the circle $$x^2+y^2-4 x-8 y-5=0$$ intersects the line $$3 x-4 y-m=0$$ in two distinct points, then the number of int

View Question Let $$C$$ be the circle center $$(0,0)$$ and radius 3 units. The equation of the locus of the mid-points of the chords o

View Question The length of the common chord of the circles $$x^2+y^2+3x+5y+4=0$$ and $$x^2+y^2+5x+3y+4=0$$ is __________ units.

View Question Find the equation of the circle which passes through the point $$(1,2)$$ and the points of intersection of the circles $

View Question The coordinates of the focus of the parabola described parametrically by $$x=5t^2+2$$ and $$y=10t+4$$ (where t is a para

View Question If $$\tan \theta_1, \tan \theta_2=\frac{-a^2}{b^2}$$, then the chord joining 2 points $$\theta_1$$ and $$\theta_2$$ one

View Question If one focus of a hyperbola is $$(3,0)$$, the equation of its directrix is $$4 x-3 y-3=0$$ and its eccentricity $$e=5 /

View Question If the vertices of the triangles are (1, 2, 3), (2, 3, 1), (3, 1, 2) and if H, G, S and I respectively denote its orthoc

View Question A(2, 3, 4), B(4, 5, 7), C(2, $$-$$6, 3) and D(4, $$-$$4, k) are four points. If the line AB is parallel to CD, then k is

View Question If the direction cosines of two lines are $$\left( {{2 \over 3},{2 \over 3},{1 \over 3}} \right)$$ and $$\left( {{5 \ove

View Question $$\mathop {\lim }\limits_{n \to \infty } {{n{{(2n + 1)}^2}} \over {(n + 2)({n^2} + 3n - 1)}}$$ is equal to

View Question If the function $$f(x)$$, defined below, is continuous on the interval $$[0,8]$$, then $$f(x)=\left\{\begin{array}{cc}x^

View Question If $$f(x)$$, defined below, is continuous at $$x=4$$, then
$$f(x) = \left\{ {\matrix{
{{{x - 4} \over {|x - 4|}} + a}

View Question If $$f(x)=2x^2+3x-5$$, then the value of $$f'(0)+3f'(-1)$$ is equal to

View Question If $$y=\left(1+\frac{1}{x}\right)\left(1+\frac{2}{x}\right)\left(1+\frac{3}{x}\right) \ldots\left(1+\frac{n}{x}\right)$$

View Question $$\frac{d}{d x}\left\{\sin ^2\left(\cot ^{-1} \sqrt{\frac{1+x}{1-x}}\right)\right\}$$ is equal to

View Question If $$y=\tan ^{-1}\left\{\frac{a x-b}{b x+a}\right\}$$, then $$y^{\prime}$$ is equal to

View Question If $$y=4 x-6$$ is a tangent to the curve $$y^2=a x^4+b$$ at $$(3,6)$$, then the values of $$a$$ and $$b$$ are

View Question Find the positive value of $$a$$ for which the equality $$2 \alpha+\beta=8$$ holds, where $$\alpha$$ and $$\beta$$ are t

View Question If the radius of a sphere is measured as 9 cm
with an error of 0.03 cm, then find the
approximate error in calculating i

View Question The diameter and altitude of a right circular
cone, at a certain instant, were found to be
10 cm and 20 cm respectively.

View Question $$\int \frac{\sin \alpha}{\sqrt{1+\cos \alpha}} d \alpha$$ is equal to

View Question If $$\int \frac{\cos 4 x+1}{\cot x-\tan x}=k \cos 4 x+C$$, then $$k$$ is equal to

View Question If $$\int\left[\cos (x) \cdot \frac{d}{d x}(\operatorname{cosec}(x)] d x=f(x)+g(x)+c\right.$$ then $$f(x) \cdot g(x)$$ i

View Question If $$\int \frac{(2 x+1)^6}{(3 x+2)^8} d x=P\left(\frac{2 x+1}{3 x+2}\right)^Q+R$$, then $$\frac{P}{Q}$$ is equal to

View Question If $$\int_0^a {{{dx} \over {4 + {x^2}}} = {\pi \over 8}} $$, then the value of a is equal to

View Question $$\int_1^2 {{{{x^3} - 1} \over {{x^2}}}} $$ is equal to

View Question The solution of the differential equation $$2x\left(\frac{dy}{dx}\right)-y=4$$ represents a family of

View Question ## Physics

The displacement of a particle starting from rest at $$t=0$$ is given by $$s=9 t^2-2 t^3$$. The time in seconds at which

View Question The range of a projectile is 100 m. Its kinetic
energy will be maximum after covering a
distance of

View Question Two cars A and B are moving with a velocity
of 30 km/h in the same direction. They are
separated by 10 km. The speed of

View Question A book is lying on a table. What is the angle
between the normal reaction acting on the
book on the table and the weight

View Question A boy throws a cricket ball from the
boundary to the wicket keeper. If the
frictional force due to air $$(f_a )$$ cannot

View Question When a force F = 17 $$-$$ 2x + 6x$$^2$$N acts on a body of mass 2 kg and displaces it from x = 0 m to x = 8 m, the work

View Question A rifle bullet loses $$\left(\frac{1}{25}\right)$$th of its velocity in passing through a plank. The least number of suc

View Question A uniform chain has a mass m and length $$l$$.
It is held on a frictionless table with
one-sixth of its length hanging o

View Question A sphere and a hollow cylinder without
slipping, roll down two separate inclined
planes A and B, respectively. They cove

View Question Four spheres each of diameter $$2 a$$ and mass $$m$$ are placed in a way that their centers lie on the four corners of a

View Question If an energy of 684 J is needed to increase the
speed of a flywheel from 180 rpm to
360 rpm, then find its moment of ine

View Question A particle executing simple harmonic motion
along a straight line with an amplitude A,
attains maximum potential energy

View Question The bob of a simple pendulum is a spherical
hollow ball filled with water. A plugged hole
near the bottom of the oscilla

View Question The gravitational potential energy is maximum at

View Question A geostationary satellite is taken to a new
orbit, such that its distance from centre of
the earth is doubled. Then, fin

View Question A body of mass 10 kg is attached to a wire of 0.3 m length. The breaking stress is 4.8 $$\times$$ 10$$^7$$ Nm$$^{-2}$$.

View Question A glass flask weighting 390 g, having internal
volume 500 cc just floats when half of it is
filled with water. Specific

View Question Water does not wet an oily glass because

View Question Boiling water is changing into steam. The specific heat of boiling water is

View Question If the volume of a block of metal changes by $$0.12 \%$$ when heated through $$20^{\circ} \mathrm{C}$$, then find its co

View Question Isothermal process is the graph between

View Question For a monoatomic ideal gas is following the
cyclic process ABCA shown in the U versus p
plot, identify the incorrect opt

View Question The pressure of a gas is proportional to

View Question A string fixed at both ends vibrate in 5 loops
as shown in the figure. The total number of
nodes and anti-nodes respecti

View Question The position of the direct image obtained at
O, when a monochromatic beam of light is
passed through a plane transmissio

View Question What is the electric flux for Gaussian surface $$A$$ that encloses the charged particles in free space? [Given, $$q_1=-1

View Question Two charges 8 $$\mu$$C each are placed at the corners A and B of an equilateral triangle of side 0.2 m in air. The elect

View Question A 60 $$\mu$$F parallel plate capacitor whose plates
are separated by 6 mm is charged to 250 V,
and then the charging sou

View Question Five current carrying conductors meet at a
point P. What is the magnitude and direction
of the current in the fifth cond

View Question A wire of length $$L$$ metre carrying a current $$I$$ ampere is bent in the form of a circle. Magnitude of its magnetic

View Question What is the net force on the square coil?

View Question A paramagnetic sample showing a net magnetisation of $$0.8 \mathrm{~A} \mathrm{~m}^{-1}$$, when placed in an external ma

View Question The induced emf cannot be produced by

View Question Assertion (A) When plane of coil is perpendicular to magnetic field, magnetic flux linked with the coil is minimum, but

View Question A 20 V AC is applied to a circuit consisting of
a resistor and a coil with negligible
resistance. If the voltage across

View Question The electric and the magnetic fields associated with an electromagnetic wave propagating along the $$z$$-axis, can be re

View Question The graph between the maximum speed $$(v_{max})$$ of a photoelectron and frequency $$(\nu)$$ of the incident radiation,

View Question The angular momentum of the orbital
electron is integral multiple of

View Question Which of the following values is the correct order of nuclear density?

View Question The truth table given below corresponds to logic gate.

View Question