TS EAMCET 2022 (Online) 19th July Morning Shift | TS EAMCET Year Wise Previous Years Questions

Chemistry

1. If the uncertainty in velocity is $\frac{1}{2 m} \sqrt{\frac{h}{\pi}}$, then the ratio of uncertainty in position and mo 2. The valency shell electronic configuration of Cr and Cu atoms, respectively, are 3. Identify all the correct statements for lanthanoide contraction. (A) The covalent properties of the lanthanoide metal hy 4. The correct order of the electron gain enthalpy of the given elements is 5. The correct pair of species with $(A)$ the highest bond order and ( $B$ ) diamagnetic character is 6. The incomplete Lewis representation of $\mathrm{CO}_3^{2-}$ is given below. The formal charge on atoms marked as $a, b$ 7. A plot of the compressibility factor $(z)$ vs $p$ is shown below for $\mathrm{H}_2, \mathrm{He}, \mathrm{N}_2, \mathrm{C 8. The average molecular weight of the air which has $21 \%$ of $\mathrm{O}_2$ and $79 \%$ of $\mathrm{N}_2$, is 9. The number of significant figures in 2.0400 is 10. Identify the values of $a, b, c, d$ and $e$ for the following unbalanced reaction, $$ \begin{aligned} a \mathrm{KNO}_3+5 11. Given, $$ \mathrm{H}_2(g)+\frac{1}{2} \mathrm{O}_2(g) \longrightarrow \mathrm{H}_2 \mathrm{O}(l) ; \Delta H=-285 \mathrm 12. In which of the following reactions at equilibria, the position of the equilibrium shifts towards the products, if the t 13. Phosphorus and phosphoric acids are, respectively, ............... acids. 14. The freezing point of heavy water at 1 atm pressure is 15. Which of the following salts can accommodate more number of $\mathrm{H}_2 \mathrm{O}$ molecules per molecule in their ha 16. The correct order of Lewis acidic character of boron trihalides is 17. The acidic oxide from the following is 18. The correct order of rate of acid mediated dehydration reaction of the following compounds is 19. The major products $P$ and $Q$ in the following reactions, respectively, are 20. The major product formed in the following reaction sequence is 21. The number of nearest neighbours in a bcc unit cell is 22. The Henry's law constant for the solubility of $\mathrm{N}_2$ gas in Water at 298 K is $1 \times 10^5 \mathrm{~atm}$. Th 23. What is the effect of external pressure on the osmotic pressure (OP) of a solution? 24. Given, $E_{\mathrm{Mn}^{7+} / \mathrm{Mn}^{2+}}^{\circ}=1.51 \mathrm{~V}, E_{\mathrm{Mn}^{4+} / \mathrm{Mn}^{2+}}^{\circ 25. The reaction, $2 A \rightarrow 2 B+C$ has a rate constant of $1.2 \times 10^{-2} \mathrm{~s}^{-1}$. Which of the followi 26. Which of the following does not show Tyndall effect? 27. A nitrogen oxide that forms "in situ" when dilute $\mathrm{FeSO}_4$ is treated with aqueous solution of nitrate ion and 28. On treating $\mathrm{SO}_2$ with aqueous solution of $\mathrm{KMnO}_4$, the manganese ion reduces to 29. $$ \text { Match the following. } $$ $$ \begin{array}{lcll} \hline & \text { Column-I (Molecule) } & & \text { Column-II 30. The correct decreasing order of the following ' Xe ' compounds to act as both fluorinating and oxidising agent is (i) $\ 31. The correct order of ionic radii of trivalent ions $\mathrm{Y}^{3+}, \mathrm{La}^{3+}, \mathrm{Eu}^{3+}$ and $\mathrm{Lu 32. When permanganate ion is heated at 513 K , led to the formation of two manganese based products. The physical properties 33. Assertion (A) Both glucose and fructose have the same $D$-configuration. Reason (R) Both glucose and fructose are dextro 34. $$ \text { The major product of the following reactions is } $$ 35. Benzene on reaction with acetyl chloride in the presence of anhydrous $\mathrm{AlCl}_3$ gave the product $P$. The produc 36. Sodium tertiary butoxide or reaction with methyl bromide produced the product $P$. Sodium methoxide upon reaction with t 37. $$ \text { Match the following. } $$ .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:black;bord 38. In the following compounds, the ones that give positive iodoform test are 39. Which of the following set of compounds react with $\mathrm{NaHCO}_3$ ? 40. Among the following set of reactions, the most suitable method for preparing secondary amine is

Mathematics

1. The set of all real values of $x$ for which $f(x)=\log _2\left(2^x-2\right)+\sqrt{1-x}$ is also real is 2. Let $f(x)=1-x, g(x)=\frac{1}{1-x}, h(x)=\frac{1}{x}$ be three functions, for $x \neq(0,1)$. If a function $F(x)$ satisfi 3. If $\left[\begin{array}{ccc}0 & 2 & a \\ b & 0 & 4 \\ -3 & c & 0\end{array}\right]$ is a skew-symmetric matrix, then $\l 4. If $\left[\begin{array}{ccc}-1 & 2 & b \\ a & 5 & 6 \\ 3 & c & 7\end{array}\right]$ is a symmetric matrix, then $\left|\ 5. If the matrix $A=\left[\begin{array}{lll}1 & 2 & 2 \\ 2 & 1 & 2 \\ 2 & 2 & 1\end{array}\right]$ satisfies the matrix equ 6. Consider the simultaneous linear equations $A X=B$ and $A Y=Q$. If $A$ is an invertible matrix and $B$ is the unique sol 7. If $(2 x-y+1)+i(x-2 y-1)=2-3 i$, then the multiplicative inverse of $(x-i y)$ is 8. If $\alpha$ and $\beta$ are the roots of the equation $x^2-2 \sqrt{3} x+4=0$, then $\alpha^6+\beta^6=$ 9. If $\cos \alpha$ is the common value of $(-1)^{\frac{1}{4}}$ and $(-i)^{\frac{1}{2}}$ then $\tan \alpha=$ 10. When $b=17$, it is found that the roots of the equation $x^2+b x+c=0$ are -2 and -15 . If $\alpha$ and $\beta$ are the r 11. Let $x$ be a real number. Malch the following: .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color: 12. If $\alpha, \beta$ and $\gamma$ are the roots of the equation $5 x^3-2 x-4=0$, then $\alpha^3+\beta^3+\gamma^3=$ 13. If the roots of $x^5-a x^4+b x^3-c x^2+d x-1=0$ are all positive such that their arithmetic mean and geometric mean are 14. The equation of lowest degree with rational coefficients having roots $\sqrt{3}+\sqrt{2} i$ and $\sqrt{3}-\sqrt{2}$ is 15. The number of non-real roots of the equation $x^{10}-3 x^8+5 x^6-5 x^4+3 x^2-1=0$ is 16. Let $N$ be the set of positive integers. The number of distinct triplets $(x, y, z)$ satisfying $x, y, z \in N, x 17. A question paper has 3 parts and each part contains 4 questions. The number of different ways in which a candidate can a 18. If $k$ is the coefficient of $x^5$ in the expansion of $\left(2 x^2-\frac{1}{3 x^3}\right)^5$, then $\frac{3 k}{2}=$ 19. If $\frac{42-13 x}{x^2+x-6}=\frac{A}{l x+m}+\frac{B}{p x+q}$, where $l m>0$ and $p q 20. If $\frac{3 x+5}{(x+1)\left(2 x^2+3\right)}=\frac{A}{x+1}+\frac{B x+C}{2 x^2+3}$ and $f(x)=A x^3+B x^2+7 x+C$, then $5 C 21. If $f(x)=\left|\begin{array}{ccc}-\sin x & 2 \sin 2 x & 4 \cos ^2 x \\ \cos x & 4 \sin ^2 x & 2 \sin 2 x \\ 0 & -\cos x 22. If $|\sin \alpha-\cos \alpha|=\frac{3}{4}$, then $|\sec 2 \alpha-\tan 2 \alpha|=$ 23. If $\frac{1}{\sin 45^{\circ} \sin 46^{\circ}}+\frac{1}{\sin 46^{\circ} \sin 47^{\circ}}+\ldots$ up to 45 terms $=\frac{1 24. If the minimum value of $\cos (\sinh (\log x)+\cosh (\log x))$ is $k$, then $\cosh (k+1)=$ 25. If $\sinh x=\frac{-1}{2}$, then $\tanh 2 x=$ 26. If the sides of a $\triangle A B C$ whose perimeter is 42 are in arithmetic progression, its circumradius is $\frac{65}{ 27. In a $\triangle A B C$, if $a=7, c=11, \cos A=\frac{17}{22}$, $\cos C=\frac{1}{14}$, then $b \tan \frac{B}{2} \tan \frac 28. In any $\triangle A B C, r^2 \cot \frac{A}{2} \cot \frac{B}{2} \cot \frac{C}{2}=$ 29. Let the vectors $\mathbf{A B}=2 \hat{\mathbf{i}}+2 \hat{\mathbf{j}}+\hat{\mathbf{k}}$ and $\mathbf{A C}=2 \hat{\mathbf{i 30. If $(\alpha, \beta, \gamma)$ is a triad of real numbers satisfying $\hat{\mathbf{i}}-2 \hat{\mathbf{j}}+5 \hat{\mathbf{k 31. Let $L$ be a line passing through a point $A$ and parallel to the vector $2 \hat{\mathbf{i}}+\hat{\mathbf{j}}-2 \hat{\ma 32. If $\theta$ is the angle between the vectors $2 \hat{\mathbf{i}}-\hat{\mathbf{j}}+2 \hat{\mathbf{k}}$ and $a \hat{\mathb 33. A bisector of the angle between the normals of the planes $4 x+3 y=5$ and $x+2 y+2 z=4$ is along the vector 34. Let the volume of the tetrahedron with vertices $\hat{\mathbf{i}}-\hat{\mathbf{j}}-2 \hat{\mathbf{k}},-2 \hat{\mathbf{i} 35. The mean deviation from the mean for the observations $1,3,5,7,11,13,17,19,23$ is 36. When two dice are thrown, the probability of getting an ordered pair $(x, y)$ such that $x^2+y^2 \leq 25$ where $x$ and 37. If two cards are drawn simultaneously from a well shuffled pack of 52 cards, then the probability of getting a card havi 38. If $A$ and $B$ are two events of a random experiment such that $P(\bar{A})=\frac{2}{3}, P(B)=\frac{4}{15}$ and $P(A \cap 39. A random variable $X$ has the range $\{0,1,2, \ldots$.$\} . If P(X=r)=k(1+r) 3^{-r}$, for $r=0,1,2, \ldots$ where $k>0$ 40. In an experiment a person gets success $\alpha$ times out of $\beta$ trails. If the experiment consists of $n$ trials, t 41. If the distance from a variable point $P$ to a fixed point $A(a, 0)$ is equal to the perpendicular distance from $P$ to 42. The point to which the origin is to be shifted by translation of axes so that the transformed equation of $y^2+4 y+8 x-2 43. If the line $2 x-y-4=0$ divides the line segment joining the points $(2,-1)$ and $(1,-4)$ at the point $(a, b)$ in the r 44. The distance between the points of concurrency of the two families of straight lines given by $x+(5 \lambda+1) y+1-3 \la 45. Let the line $L$ drawn perpendicular to the lines $2 x-3 y+4=0$ and $6 x-9 y+7=0$ meet them at $A$ and $B$, respectively 46. The orthocentre of the triangle formed by the points $(1,3),(-3,5)$ and $(5,-1)$ is 47. If $\alpha x^2+2 \gamma x y+\beta y^2=0$ is the equation of pair of lines passing through the origin and perpendicular t 48. $\frac{x^2}{a}+\frac{x y}{h}+\frac{y^2}{b}=0(a \neq 0, h \neq 0, b \neq 0)$ represents two coincident lines if 49. If the lines joining the origin to the points of intersection of the line $x+y=k$ and the curve $x^2+y^2-2 x-4 y+2=0$ ar 50. The equation of the incircle of the triangle formed by the lines $x=0, y=0$ and $3 x+4 y-24=0$ is 51. If two tangents are drawn from the point $P\left(\frac{\pi}{4}\right)$ on the circle $x^2+y^2=4$ to the circle $x^2+y^2= 52. If $5 x+6 y-34=0$ and $2 x+y+c=0$ are conjugate lines with respect to the circle $x^2+y^2-8 x-10 y+25=0$, then the point 53. If $C_1$ and $C_2$ are the centres of similitude with respect to the circles $x^2+y^2+6 x+8 y+24=0$ and $x^2+y^2-6 x-8 y 54. Let $x+y=0$ be the radical axis of the circles $S \equiv x^2+y^2+2 g x+2 f y+c=0$ and $S \equiv x^2+y^2-6 x-4 y+4=0$ and 55. The radius of the circle which cuts all the three circles $x^2+y^2-4 x-4 y+3=0, x^2+y^2+4 x-4 y+3=0$ and $x^2+y^2+4 x+4 56. Statement $14 x^2+y^2-4 x y-30 x-50 y+40=0$ is the equation of parabola having $(2,3)$ as its focus and $x+2 y+5=0$ as i 57. The cartesian eql tion of the parabola $x=-2+2 t^2, y=2+4 t$ is 58. If $a x^2+b y^2=15$ is the equation of the ellipse for which distance between its foci is 2 and distance between its dir 59. Assertion (A) The image of $\frac{x^2}{25}+\frac{y^2}{16}=1$ in the line $x+y=10$ is $\frac{(x-10)^2}{16}+\frac{(y-10)^2 60. If the latusrectum of a hyperbola subtends an angle of $120^{\circ}$ at its centre, then its eccentricity is 61. Let $P\left(\frac{\pi}{4}\right), Q\left(\frac{5 \pi}{4}\right), R\left(\frac{3 \pi}{4}\right), T\left(\frac{7 \pi}{4}\r 62. If $A(1,2,3), B(2,-3,1), C(3,2,-1)$ are three vertices of a tetrahedron $A B C D$ and $G\left(\frac{5}{2}, \frac{3}{2}, 63. Let $D$ be the foot of the perpendicular drawn from the point $A(2,0,3)$ to the line joining the points $B(0,4,1)$ and $ 64. Let $6 x-3 y+2 z-6=0$ be the given plane. If $a, b$ and $c$ are the intercepts made by the plane on $X, Y$ and $Z$-axes, 65. $$ \mathop {\lim }\limits_{x \to 0} \frac{\tan ^2\left(\pi \sec ^4 x\right)}{\pi^2 x^4}= $$ 66. $$\mathop {\lim }\limits_{x \to 0}\left(\frac{4!}{x^8}\left(1-\cos \frac{x^2}{3}-\cos \frac{x^2}{4}+\cos \frac{x^2}{3} \ 67. Let $f(x)=\sin x, g(x)=\cos x, h(x)=x^2$, then $\lim _{x \rightarrow 1} \frac{f(g(h(x)))-f(g(h(1)))}{x-1}=$ 68. If $x \cos (k+y)=\cos y$, then $\frac{d y}{d x}$ at $y=\frac{\pi}{2}$ is 69. If $x=a(\cos \theta+\theta \sin \theta), y=f(\theta), f(2 \pi)=0$, $\frac{d y}{d x}=\frac{\tan \theta}{\theta}, \theta \ 70. The equation of the normal to the curve $4 x^2+9 y^2=36$ at the point $P\left(\frac{7 \pi}{4}\right)$ is 71. If $\theta$ is the acute angle between the curves $x^2+y^2=4$ and $y^2=3 x$, then $\tan \theta=$ 72. Let $\sqrt{3}$ be the radius and $\frac{\pi}{3}$ be the semi-vertical angle of the given cone. Then, the height of the r 73. Given that $\frac{d}{d x}\left(\tan ^{-1} x\right)=\frac{1}{1+x^2}$ and $\frac{d}{d x}\left(\sin h^{-1} x\right)=\frac{1 74. $$ \int \frac{\sin x \cdot \sec ^2 x-\tan x \cdot \sin x+\cos x}{(1-\cos 2 x)} d x= $$ 75. If $f(x)=\int \frac{16 x^7+5 x^{10}}{\left(x^3+2+3 x^8\right)^2} d x(x \geq 0)$ and $f(0)=1$, then the value of $f(-1)$ 76. It is given that $\frac{d}{d t}(t \log t-t)=\log t$, then $\exp \left(\int_0^1 2 x \log \left(1+x^2\right) d x\right)=$ 77. $$ \int_0^{2 a} f(x) d x= $$ 78. The equation of any member of the family of all the ellipses whose axes are along the coordinate axes satisfies the diff 79. The degree of the differential equation $\left(\frac{d^2 y}{d x^2}\right)^{\frac{4}{3}}+x\left(\frac{d y}{d x}\right)^2- 80. The general solution of the differential equation $\frac{d y}{d x}=\frac{2 x-3 y+5}{6 x-9 y+7}$ is

Physics

1. Two charged particles of mass 1 g each are placed 1 m apart. If each of these possesses 1 femto coulomb of charge, then 2. A physical quantity $S$ is related to four observables $a, b, c$ and $d$ as $S=\frac{\sqrt{a b}}{c^3 d^4}$. If the perce 3. A particle moves along a straight line, such that its displacement $x$ varies with time $t$ as $x=\alpha t^3+\beta t^2+\ 4. A man walking along a straight line with a velocity 6 $\mathrm{km} / \mathrm{h}$ encounters rain falling vertically down 5. An aircraft is flying at a height of $h$ above the ground and at a speed of $v$. The maximum angle subtended at a ground 6. A merry-go-round rotating at a constant angular speed completes 9 rotations is 18 s . What is its angular speed? 7. A motor car moving with velocity $7 \mathrm{~m} / \mathrm{s}$ stops at 10 m distance when brakes are applied. What is th 8. A ball of mass 1 kg moves in a straight line with velocity $v=c x^\alpha$, where $c=1$ (SI unit) and $\alpha$ is a const 9. Assertion (A) In an elastic collision of two billiard balls, both kinetic energy and linear momentum remain conserved. R 10. A wheel of radius with 0.5 m and a moment of inertia of $10 \mathrm{~kg}-\mathrm{m}^2$ is rotating freely at an angular 11. A simple pendulum of length 1 m and having a bob of mass 100 g is suspended in a car, moving on a circular track of radi 12. A uniform sphere $A$ with radius $R$ exerts a force $F$ on a small particle $B$ situated at a distance $2 R$ from the ce 13. An object of mass 15 kg is attached to the end of a metal wire of unstretched length 1.0 m . The object is then whirled 14. In the figure, the chamber $A$ contains a gas, movable chamber $B$ is placed on the top of the gas and it contains $n$ m 15. A liquid flows steadily through a cylindrical pipe having a radius $2 R$ at a point $A$ and radius $R$ at point $B$ fart 16. A piece of metal has a weight of 49 g in air and 39 g in a liquid of density $1.2 \times 10^3 \mathrm{~kg} / \mathrm{m}^ 17. A metal cooking pot has a base area of $0.2 \mathrm{~m}^2$ and thickness 2.0 cm . It boils water at a rate of $3.0 \math 18. A quantity of monoatomic gas undergoes a process in which pressure is changed linearly with volume. The pressure and vol 19. An ideal gas having initial pressure $p$, volume $V$ and temperature $T$ is allowed to expand adiabatically until its vo 20. At what temperature, an oxygen molecule has the same rms velocity as the hydrogen molecule has at 20 K ? 21. Two strings $A$ and $B$ produce beat of frequency $\Delta f_1>0$. The tension in string $A$ is slightly increased and th 22. A light ray travels from a medium with refractive index $n_1$ to another medium of refractive index $n_2$. If $n_1=2$ an 23. In Young's double slit experiment for what order does the wavelength of red light $(\lambda=780 \mathrm{~nm})$ coincide 24. Three charges are arranged on the vertices of a right angle triangle as shown in the figure. The magnitude of dipole mom 25. A parallel plate capacitor of plate area $10 \mathrm{~cm}^2$ and plate separation 3 mm is charged to a potential differe 26. A metal has $9 \times 10^{28}$ conduction electrons per $m^3$ and its resistivity is $1 \times 10^{-8} \Omega \mathrm{~m 27. The resistivity of a metal is $1 \times 10^{-8} \Omega-\mathrm{m}$. If it contains $9 \times 10^{28}$ electrons per $\ma 28. A particle of mass $m$ and charge $q$ travelling with a velocity $v$ along the $X$-axis enters a uniform electric field 29. A long solenoid with 10.0 turn $/ \mathrm{cm}$ and a radius of 8 cm carries a current of 7 mA . A current carrying strai 30. A thin magnetic needle is placed in a magnetic field of 200 G with its axis at $30^{\circ}$ to the direction of the fiel 31. A wire loop of area $0.2 \mathrm{~m}^2$ has a resistance of $20 \Omega$. A magnetic field pointing normal to the loop ha 32. A resistor of resistance of $100 \Omega$ is connected to an AC source $\varepsilon=10 \sin (250 \pi) t$. The energy diss 33. About $20 \%$ of the power of a 100 W bulb is converted to visible radiation. Assuming that the radiation is emitted iso 34. Light strikes a metal surface causing photoelectric emission. The wavelength of incident light is 248 nm . If the stoppi 35. The de-Broglie wavelength associated with an electron, accelerated through a potential difference of 121 V is about (tak 36. The difference in the wavelength between the maximum and minimum of Balmer series (use $R_H=1 \times 10^7 \mathrm{~m}^{- 37. The radius and mass number of nucleus 1 is $R_1$ and $A_1$, respectively. The radius and mass number of nucleus 2 is $R_ 38. Current $I$ through a given $p-n$ junction when a voltage $V$ is applied across it is given to be $I=I_0\left(e^{\frac{V 39. For an $n-p-n$ transistor structure, which of the following statements is not true? 40. The range of frequency bands used for standard AM broadcast is

TS EAMCET 2022 (Online) 19th July Morning Shift

MCQ (Single Correct Answer)

-0

The equation of the normal to the curve $4 x^2+9 y^2=36$ at the point $P\left(\frac{7 \pi}{4}\right)$ is

$2 x-3 y-6 \sqrt{2}=0$

$2 x+3 y=0$

$3 \sqrt{2} x+2 \sqrt{2} y-5=0$

$3 \sqrt{2} x-2 \sqrt{2} y-13=0$

TS EAMCET 2022 (Online) 19th July Morning Shift

MCQ (Single Correct Answer)

-0

If $\theta$ is the acute angle between the curves $x^2+y^2=4$ and $y^2=3 x$, then $\tan \theta=$

$\frac{5}{\sqrt{3}}$

$\frac{\sqrt{3}}{4}$

$\frac{4}{\sqrt{3}}$

$\frac{\sqrt{3}}{5}$

TS EAMCET 2022 (Online) 19th July Morning Shift

MCQ (Single Correct Answer)

-0

Let $\sqrt{3}$ be the radius and $\frac{\pi}{3}$ be the semi-vertical angle of the given cone. Then, the height of the right circular cylinder of maximum volume that can be inscribed in the given cone is

$\frac{\sqrt{3}}{2}$

$\frac{2}{\sqrt{3}}$

$\frac{1}{3}$

TS EAMCET 2022 (Online) 19th July Morning Shift

MCQ (Single Correct Answer)

-0

Given that $\frac{d}{d x}\left(\tan ^{-1} x\right)=\frac{1}{1+x^2}$ and $\frac{d}{d x}\left(\sin h^{-1} x\right)=\frac{1}{\sqrt{1+x^2}}$. Then, $\int \frac{3 x^6-2 x^4+x^2-2}{x^2+1} d x=$

$\frac{3}{7} x^7-\frac{2}{5} x^5+\frac{1}{3} x^3-2 x+c$

$\frac{\frac{3}{7} x^7-\frac{2}{5} x^5+\frac{1}{3} x^3-2 x}{\frac{x^3}{3}+x}+c$

$\frac{3}{5} x^5-\frac{5}{3} x^3+6 x-8 \tan ^{-1} x+c$

$\frac{3}{5} x^5-\frac{5}{3} x^3+6 x-8 \sin h^{-1} x+c$

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