TS EAMCET 2020 (Online) 14th September Morning Shift | TS EAMCET Year Wise Previous Years Questions

Chemistry

1. Maximum number of electrons in a subshell with $n=4$ and $l=3$ is 2. From the following sets of quantum numbers, which set is possible? 3. What is the correct order of atomic radius of $\mathrm{Al}, \mathrm{Na}, \mathrm{B}$ and Be ? 4. Find the element, which displays greater ability to form $p \pi-p \pi$ multiple bonds to itself and to other elements in 5. Which of the sulphur compound follows the octet rule? 6. $\Delta_r H$ of which reaction correctly represents the lattice enthalpy of $\mathrm{NaCl}(s)$ ? 7. The volume of a given amount of gas at $27^{\circ} \mathrm{C}$ at constant pressure is $420 \mathrm{~cm}^3$. If the temp 8. The compressibility factor $Z=\frac{p V}{n R T}$ for hydrogen gas a 273 K and 1 atm pressure is 9. In the following reaction mixtures, I. $\mathrm{Cu} / \mathrm{CuSO}_4+\mathrm{Ag} / \mathrm{Ag}_2 \mathrm{SO}_4$ II. $\m 10. The molecular mass of sucrose $\left(\mathrm{C}_{12} \mathrm{H}_{22} \mathrm{O}_{11}\right)$ is 11. In which of the processes, the entropy will decrease 12. For a given equilibrium reaction, addition of inert argon gas at constant volume can shift the equilibrium in $$ \mathrm 13. For the given equilibrium reaction $$ \mathrm{H}_2(\mathrm{~g})+\mathrm{I}_2(\mathrm{~g}) \rightleftharpoons 2 \mathrm{H 14. When calcium carbide is reacted with heavy water, which of the following product(s) will be formed I. $\mathrm{CD}_4$ II 15. Which alkali metal emits blue colour light in flame test? 16. $$ \text { Match the following : } $$ .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:black;bor 17. Glass reacts with HF to produce 18. Which of the following molecules react with haemoglobin of the blood to produce toxic effect? 19. $$ \text { The IUPAC name of the following compound is } $$ 20. When $\mathrm{CH}_3 \mathrm{Br}$ and $\mathrm{C}_2 \mathrm{H}_5 \mathrm{Br}$ are subjected to Wurtz reaction, the maximu 21. Maximum number of bromine atoms present in the final product $P$ upon complete bromination are 22. A cubic structure is formed where atoms of element $X$ are occupied at corner of cube and also at face centers. Atoms of 23. pH of 0.05 M aqueous solution of diethyl amine is 10 . The value of equilibrium constant is 24. The observed molar mass determined for $\mathrm{Na}_2 \mathrm{SO}_4$ by freezing point depression method is $50.0 \mathr 25. Copper is to be electrodeposited on a nickel block of $(20 \times 5) \mathrm{cm}^2$ area by using $\mathrm{CuSO}_4$ as e 26. The half-life of a first order reaction varies with temperature according to 27. The charge of " $\mathrm{SnO}_2-\mathrm{sol}^{\prime}$ in alkaline and acidic medium are respectively (Hint $\mathrm{SnO 28. Which one of the following statements is true about the froth flotation method? 29. When cold and dilute NaOH reacts with $\mathrm{Cl}_2$, which of the following is formed? 30. The hybridisation of Xe in $\mathrm{XeO}_3$ is 31. Which of the following is a diamagnetic ion? 32. Among the following Cr(III) complexes, which one will have the highest octahedral crystal field splitting? 33. Which one among the following is a semi-synthetic polymer? 34. Considering the facts that I. sucrose forms glycosidic linkage between $\mathrm{C}_1$ of glucose and $\mathrm{C}_2$ fruc 35. $$ \text { Match the following : } $$ $$ \begin{array}{llll} \hline & \text { List-I } & & \text { List-II } \\ \hline \ 36. The major product in the following reaction sequence is 37. $$ \text { Match the following } $$ $$ \begin{array}{llll} \hline & \begin{array}{c} \text { List-I } \\ \text { (Reacti 38. The reaction of one mole of 3-ethyl-3-methylpenta-1, 4-diene with $\mathrm{O}_3$ and then with $\mathrm{Zn} / \mathrm{H} 39. Which of the following reactions gives carboxylate ion in their reaction mixture? 40. The product formed when aniline is treated with chloroform in the presence of KOH (alcoholic) is

Mathematics

1. Given that for any $n \in \mathbf{N}$ there exist an odd integer $q$ and a non-negative integer $r$ such that, $n$ can b 2. If $f: \mathbf{R} \rightarrow \mathbf{R}$ be defined by $f(x)=x+2|x+1|+2|x-1|$, then the element in the co-domain, whic 3. If $f(1)=3$, and $f(n+1)-f(n)=3\left(4^n-1\right)$, then $\forall n \in \mathbf{N}$, $f(n)=$ 4. For a square matrix $B$ of order 3 , if $B^T=B^{-1}$ and $|B|=1$, then $|B-I|=$ 5. For $\alpha, \beta \in[0,2 \pi]$ and $\gamma \in[0, \pi)$ consider the system of equations $$ \begin{aligned} & 2 \sin \ 6. $$ \text { The rank of } A=\left[\begin{array}{ccc} 1 & x & x+1 \\ 2 x & x^2-x & x^2+x \\ 3 x(x-1) & x\left(x^2-3 x+2\ri 7. $z_1, z_2$ are two fixed points on the Argand plane. If $z$ is a complex number such that $\left|z-z_1\right|+\left|z-z_ 8. If the four points $A, B, C, D$ in the Argand plane represented respectively by the complex numbers $2+i, 4+3 i, 2+5 i, 9. The roots of the equation $(x-1)^5=32(x+1)^5$ are 10. If $\omega$ is a non-real cube root of unity and $x=\omega^2-\omega-3$, then the value of $x^4+6 x^3+10 x^2-12 x-19$ is 11. The number of integral values of $x$ satisfying $9 x-2 12. Sum of the modulii of the complex roots of the equation $\left(x^2+\frac{1}{x^2}\right)-5\left(x+\frac{1}{x}\right)+6=0$ 13. If $2+\sqrt{3}$ is a root of the equation $f(x)=x^4+2 x^3-16 x^2-22 x+7=0$, then which one of the following is not a roo 14. Assertion (A) If $a_1, a_2, \ldots, a_n$ are the $n$ distinct roots of the equation $x^n-2=0$, then $1+\left(1-a_1\right 15. Let $S_r=\{x, y, z) / x+y+z=11, x \geq r, y \geq r$, $z \geq r, x, y, z, r$ are integers $\}$ and $n\left(S_r\right)$ re 16. A certain question paper contains three parts $A, B, C$ with four questions in part $A$, five questions in part $B$ and 17. $p, q$ are two prime numbers. For $n=p q$, if the expansion $\left(\sqrt[4]{x^{-5}}+2 \sqrt[5]{x^5}\right)^n$ contains n 18. The binomial expansion $(7+3 x)^{-2 / 5}$ is valid for all $x$ in the interval $\left(\frac{-7}{3}, \frac{7}{3}\right)$ 19. Let $H(x)=3 x^4+6 x^3-2 x^2+1$ and $g(x)$ be a polynomial of degree one. If $\frac{H(x)}{(x-1)(x+1)(x-2)}=f(x)+\frac{g(x 20. The smallest positive value of $x$ (in degrees) for which $\tan \left(x+100^{\circ}\right)=\tan \left(x+50^{\circ}\right 21. For $n \in \mathbf{N}$, if $f(n)=(\cos n x)(\sec x)^n$ and $g(n)=(\sin n x)(\sec x)^n$, then $f(2020)-f(2019)+(\tan x) g 22. $\theta$ and $\alpha$ lie in $Q_3$. If $\cos (\theta-\alpha), \cos \theta, \cos (\theta+\alpha)$ are in harmonic progres 23. If the possible solution of the equation $2 \cos ^2 x+3 \sin x-3=0$ constitute two unequal angles of a triangle, then th 24. In $\triangle A B C$ if $\angle C=\frac{\pi}{2}$ then $\tan ^{-1}\left(\frac{a}{b+c}\right)+\tan ^{-1}\left(\frac{b}{c+a 25. If $\sinh \left(2 \tanh ^{-1} x\right)=\frac{11}{60}$, then $x=$ 26. If the sides of a triangle are in the ratio $\sqrt{3}: \sqrt{5}: \sqrt{8+\sqrt{15}}$, then the largest angle in that tri 27. In a $\triangle A B C$, if $\tan A: \tan B: \tan C=1: 2: 3$ and $\sin A: \sin B: \sin C=\sqrt{5}: 2 \sqrt{2}: k$, then $ 28. In $\triangle A B C$, if $R=\frac{65}{8}, r r_1=42$ and $r_1-r=6.5$, then $s(s-a)=$ 29. Let $A B C D$ be a parallelogram and $E$ be the mid-point of $A B$. If $P$ is the point of intersection of $D E$ and $A 30. A vector $\mathbf{a}$ has components $2 p$ and 1 with respect to a two dimensional rectangular cartesian system. This sy 31. Let $A(3 \hat{\mathbf{i}}+\hat{\mathbf{j}}-\hat{\mathbf{k}})$ and $B(13 \hat{\mathbf{i}}-4 \hat{\mathbf{j}}+9 \hat{\math 32. If $\mathbf{a}=2 \mathbf{u}+3 \mathbf{v}+7 \mathbf{w}, b=\mathbf{u}+\mathbf{v}-2 \mathbf{w}$ and $\mathbf{c}=-\mathbf{u} 33. Let $\mathbf{V}=2 \hat{\mathbf{i}}+\hat{\mathbf{j}}-\hat{\mathbf{k}}$ and $\mathbf{W}=\hat{\mathbf{i}}+3 \hat{\mathbf{k} 34. $L_1$ is a line passing through the points with position vectors $\hat{\mathbf{i}}-2 \hat{\mathbf{j}}-\hat{\mathbf{k}}$ 35. The mean and standard deviation of 100 observations $x_1, x_2, \ldots, x_{100}$ were calculated as 40 and 5.1 respective 36. The coefficient of variation of the first 5 prime numbers is 37. A person tossing a biased coin indefinitely wins the game by getting head for the first time. The probability that he wi 38. Let $B(\alpha, \beta, \gamma)$ represents that a bag $B$ contains $\alpha$ red balls, $\beta$ green balls and $\gamma$ b 39. If the coefficients $a$ and $b$ of a quadratic expression $x^2+a x+b$ are chosen from the sets $A=\{3,4,5\}$ and $B=\{1, 40. A random variable $X$ has the following probability distribution $$ \begin{array}{|c|c|c|c|c|c|c|c|c|} \hline X=x & 1 & 41. If a variable line is moving such that the intercepts made by it on the coordinate axes are reciprocal to each other, th 42. If a variable line is moving such that the intercepts made by it on the coordinate axes are reciprocal to each other, th 43. Suppose the axes $X$ and $Y$ are obtained by rotating the axes $x$ and $y$ an angle $\theta$. If the equation $x^2+2 \sq 44. If the lines drawn along the diagonals of the two squares formed by two pairs of lines $x^2-3|x|+2=0$ and $y^2-3 y+2=0$ 45. If $\pi / 3$ is the angle between the straight lines $p x+q y+r=0$ and $x \sin \alpha+y \cos \alpha=r(r \neq 0)$ which m 46. The distance between the point $(2,1)$ and the image of the point $(3,-1)$ with respect to the line $2 x+y-1=0$ is 47. Let $O A B C$ be a parallelogram. The equation of one diagonal $A C$ is $x+y-1=0$ and the combined equation of the sides 48. The acute angle between the pair of straight lines joining the origin to the points of intersection of the line $x+y-1=0 49. The centre and radius of the circumcircle of the triangle formed by the lines $2 x+3 y=10, y=x$ and the $X$-axis are res 50. If the straight lines $3 x-4 y+4=0$ and $6 x-8 y-7=0$ are the tangents to the same circle, then the area of that circle 51. In the List-I each item contains equations of two circles, List-II contains the number of common tangents for each pair 52. $\left(0, \frac{3}{4}\right)$ is the radical centre of the circles $S_1: x^2+y^2-2 x+6 y=0, S_2: x^2+y^2+2 g x-2 y+6=0$ 53. For the circles $(x-a)^2+y^2=a^2$ and $x^2+(y-a)^2=a^2$, where $a>0$, which one of the following is not true? 54. If $S(a, b)$ is a fixed point and $P(\alpha, \beta)$ is such a variable point that $4\left[(x-a)^2+(y-b)^2\right]=(\alph 55. If $P(-3,2)$ is an end point of the focal chord $P Q$ of the parabola $y^2+4 x+4 y=0$, then the slope of the normal draw 56. Equation of a common tangent to the circle $x^2+y^2=4$ and to the ellipse $2 x^2+25 y^2=50$ is 57. The $\theta$ is the angle made by the common tangent to the circle $x^2+y^2=16$ and the ellipse $\frac{x^2}{25}+\frac{y^ 58. For the hyperbola $x^2-y^2-4 x+2 y+c=0$, if the focus is $S(2+2 \sqrt{2}, k)$ and the directrix that is adjacent to $S$ 59. The quadrilateral formed by the points $A(1,2,5), B(-1,6,1), C(3,4,-3)$ and $D(5,0,1)$ is a 60. A line with direction cosines proportional to $2,1,2$ meets the line $L_1$ passing through $(0,-1,0)$ with direction rat 61. If a plane $\pi$ passes through the point $(-1,6,2)$ is perpendicular to the planes $x+2 y+2 z-5=0$ and $3 x+3 y+2 z-8=0 62. If $f: \mathbf{R} \rightarrow \mathbf{R}$ and $g: \mathbf{R} \rightarrow \mathbf{R}$ be defined by $f(x)=\left\{\begin{a 63. Define $f: R \rightarrow R$ by $f(x)= \begin{cases}(x-a) \frac{e^{\frac{1}{(x-a)}}-1}{\frac{1}{(x-a)}}+1 & \text { for } 64. If $\operatorname{Lt}_{h \rightarrow 0} \frac{f(x+h)-f(x)}{h}=e^x(x+1)$ and $f(0)=0$, then $\frac{d}{d x}\left(f(x) e^{- 65. Let $f, g: \mathbf{R} \rightarrow \mathbf{R}$ be functions defined by $$ f(x)=\left\{\begin{array}{cc} x \sin \left(\fra 66. If $y(x)=\tan ^{-1}\left(\frac{\sqrt{1+a^2 x^2}-1}{a x}\right)$ and $\left(1+a^2 x^2\right) y^{\prime \prime}+g(x) y^{\p 67. A vessel in the shape of an inverted cone of height 10 ft and semi vertical angle $30^{\circ}$ is full of water. Due to 68. The area (in sq. units) of the triangle formed by the tangent and normal drawn to the curve $\left(\frac{x}{3}\right)^n+ 69. If the curves $a x^2+b y^2=1$ and $c x^2+d y^2=1$ intersect orthogonally, then $\frac{b-a}{d-c}=$ 70. The ratio of the maximum and minimum values attained by the function $f(x)=1+2 \sin x+3 \cos ^2 x, 0 \leq x \leq \frac{2 71. If $5(f(x))^2=x f(x)+30$ and $$ \begin{aligned} & \int \frac{\left(3 x^3+\left(1-30 x^2\right) f(x)\right)}{(10 f(x)-x)\ 72. If $\int x[\log (1+x)]^3 d x=\frac{(1+x)^2}{16}(f(x))+(1+x)(g(x))$, then $$ f(x)+g(x)= $$ 73. $$ \int \frac{\left(x+\sqrt{1+x^2}\right)^2}{\sqrt{1+x^2}} d x= $$ 74. $$ \int\left[\frac{x^4-x}{x^{20}}\right]^{1 / 4} d x= $$ 75. $$ \begin{array}{r}\mathop {\lim }\limits_{n \to \infty }\left[\frac{n^{3 / 2}}{n^{5 / 2}}-\frac{n^{1 / 2}}{n^{3 / 2}}+\ 76. $$ \lim _{n \rightarrow \infty}\left[\frac{n+3}{n^2+1^2}+\frac{n+6}{n^2+2^2}+\frac{n+9}{n^2+3^2}+\ldots+\frac{2}{n}\righ 77. If the area lying in the first quadrant and bounded by the circle $x^2+y^2-4 x=0$, the parabola $y^2=x$ and the $X$-axis 78. If the order and degree of the differential equation corresponding to the family of curves $(x-2)^2+(y-a)^2=b^2$, (where 79. Consider the differential equation $\frac{d y}{d x}=\frac{1}{a x+4 y+7}$ and the following statements A. The given diffe 80. The solution of the differential equation $x \cos x \frac{d y}{d x}+(x \sin x+\cos x) y=1$ is

Physics

1. Choose the correct statement. 2. The dimension of $\frac{E^2}{\mu_0}$ in mass $(M)$, length $(L)$ and time $(T)$ is $(E=$ electric field, $\mu_0=$ permea 3. A body moves in a straight line with speed $v_1$ and $v_2$ for distance which are in ratio $1: 2$. Find the average spee 4. A block of mass $m$ placed on a rough horizontal plane is pulled by a constant power $P$. The coefficient of friction be 5. Consider a particle is moving with a minimum speed $v$ at highest point of vertical circle of radius $R$. If the radius 6. A ball is projected with a velocity $5 \mathrm{~m} / \mathrm{s}$, so that its horizontal range is twice the greatest hei 7. A block rests on a fixed wedge inclined at an angle $\theta$. The coefficient of friction between the block and plane is 8. A block of mass 4 kg at rest on a rough inclined plane making an angle of $\theta$ with the horizontal. The coefficient 9. Two blocks of equal masses are connected with a massless spring of spring constant $2500 \mathrm{~N} / \mathrm{m}^2$ and 10. The graph of potential energy $U(x)$ versus distance $x$ is shown in the following figure. The force $F$ versus distance 11. A point moves in the $x y$-plane according to the following equation, $x=a \sin \omega t, y=a(1-\cos \omega t)$, where $ 12. Assume proton is rotating along a circular path of radius 1 m under a centrifugal force of $4 \times 10^{-12} \mathrm{~N 13. A particle is exhibiting simple harmonic motion has its displacement $x$ and velocity $v$ related as $4 v^2=25-x^2$. The 14. If the escape velocity on earth is $11.2 \mathrm{~km} / \mathrm{s}$, its value for a planet having double the radius and 15. If the bulk modulus of water is $2 \times 10^9 \mathrm{Nm}^{-2}$, then the required pressure to reduce the given volume 16. The surface tension of 70 dynes $/ \mathrm{cm}$ is equal to 17. Assertion A thermos bottle consists of a double walled glass vessel with the space between the two walls evacuated, so t 18. How much heat energy is supplied when 5 kg of water at $20^{\circ} \mathrm{C}$ is brought to its boiling point? (Assume, 19. What is the name of ideal-gas process in which no heat is transferred? 20. Mean free path of molecules in a polyatomic gas is independent of 21. Three masses $700 \mathrm{~g}, 500 \mathrm{~g}$ and 400 g are suspended at the end of a spring shown in figure and are i 22. A thin prism of angle $6^{\circ}$ made of glass of refractive index 1.5 is combined with another prism made of refractiv 23. A small object is placed in the air, at a distance 45 cm from a convex refracting surface of radius of curvature 15 cm . 24. Which of the following phenomena produces the colour in soap bubble? 25. Choose the incorrect statement. 26. In a regular polygon of 10 sides, each corner is at a distance $R$ from the centre. Identical charges are placed at 9 co 27. The resistance of a wire is $20 \Omega$. It is stretched, so that the length becomes three times, then the new resistanc 28. In a meter bridge the resistances $R$ and $S$ are such that the null point is found at a distance of 40 cm from one end. 29. Two similar coils which are separated by 2 m having radius of 1 m and number of turns 80 have a common axis. Calculate t 30. A particle of mass $m$ and charge $Q$ moving with a speed $v$ in a circular path of radius $R$ has magnetic moment $\mu$ 31. A short bar magnet placed with its axis at $30^{\circ}$ with an external field of 800 G experiences a torque of 0.016 Nm 32. Two concentric circular coils, one of small radius $r$ and the other of large radius $R$ are placed co-axially with cent 33. A $L-C-R$ series circuit is connected to a source of alternating current. At resonance, the applied voltage and the curr 34. A radiation of energy $E$ falls on a perfectly reflecting surface. The momentum transferred to the surface is (let $c \e 35. According to the photoelectric effect, the plot of kinetic energy of the emitted photo-electrons from a metal versus the 36. The shortest wavelength in Lyman series is $912 \mathop {\rm{A}}\limits^{\rm{o}}$. Then, the longest wavelength in the s 37. Half-life of radioactive sample is 24 h . If a newly prepared radioactive sample shows 4 times the allowed and safe valu 38. The current gain of a transistor is 0.98 . If the transistor is used in a common emitter arrangement what would be the c 39. In a $p-n-p$ transistor, the current carriers are 40. The function of a detector is to demodulate the modulated carrier wave and the steps for this process are

TS EAMCET 2020 (Online) 14th September Morning Shift

MCQ (Single Correct Answer)

-0

$$ \int \frac{\left(x+\sqrt{1+x^2}\right)^2}{\sqrt{1+x^2}} d x= $$

$\frac{x}{\sqrt{1+x^2}}+C$

$\log \left|x+\sqrt{1+x^2}\right|+C$

$x+\sqrt{1+x^2}+C$

$\frac{\left(x+\sqrt{1+x^2}\right)^2}{2}+C$

TS EAMCET 2020 (Online) 14th September Morning Shift

MCQ (Single Correct Answer)

-0

$$ \int\left[\frac{x^4-x}{x^{20}}\right]^{1 / 4} d x= $$

$\frac{4}{15}\left(\frac{\left(x^3-1\right)^5}{x^{15}}\right)^{1 / 4}+C$

$\frac{4}{15}\left(\frac{x^4+1}{x^4}\right)^{1 / 4}+C$

$\frac{\sqrt{x^4+x^2+1}}{x}+C$

$\frac{3}{4}\left(x^{4 / 3}+x^{1 / 3}\right)+C$

TS EAMCET 2020 (Online) 14th September Morning Shift

MCQ (Single Correct Answer)

-0

$$ \begin{array}{r}\mathop {\lim }\limits_{n \to \infty }\left[\frac{n^{3 / 2}}{n^{5 / 2}}-\frac{n^{1 / 2}}{n^{3 / 2}}+\frac{n^{3 / 2}}{(n+2)^{5 / 2}}-\frac{n^{1 / 2}}{(n+3)^{3 / 2}}\right. \\ +\frac{n^{3 / 2}}{(n+4)^{5 / 2}}-\frac{n^{1 / 2}}{(n+6)^{3 / 2}}+\ldots+\frac{n^{3 / 2}}{(n+2(n-1))^{5 / 2}} \\ \left.-\frac{n^{1 / 2}}{(n+3(n-1))^{3 / 2}}\right]= \end{array} $$

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

$\frac{-1}{9 \sqrt{3}}$

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

$\frac{1}{9 \sqrt{3}}$

TS EAMCET 2020 (Online) 14th September Morning Shift

MCQ (Single Correct Answer)

-0

$$ \lim _{n \rightarrow \infty}\left[\frac{n+3}{n^2+1^2}+\frac{n+6}{n^2+2^2}+\frac{n+9}{n^2+3^2}+\ldots+\frac{2}{n}\right]= $$

$\frac{\pi}{4}+\frac{3}{2} \ln 2$

$\frac{\pi}{2}+\frac{3}{4} \ln 2$

$\frac{\pi}{4}-\frac{3}{2} \ln 2$

$\frac{\pi}{4}+\frac{1}{2} \ln 2$

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