TG EAPCET 2025 (Online) 3rd May Morning Shift | TS EAMCET Year Wise Previous Years Questions

Chemistry

1. The energy associated with electron in first orbit of hydrogen atom is $-2.18 \times 10^{-18} \mathrm{~J}$. The frequenc 2. In $\mathrm{Sr}(Z=38)$, the number of electrons with $l=0$ is $x$, number of electrons with $l=2$ is $y \cdot(x-y)$ is e 3. $$ \text { Match the following. } $$ .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:black;border- 4. Observe the following data ( $\Delta_t H_1, \Delta_t H_2$ and $\Delta_{\mathrm{eg}} H$ represent the first, second ionis 5. The sum of bond order of $\mathrm{O}_2^{+}, \mathrm{O}_2^{-}, \mathrm{O}_2$ and $\mathrm{O}_2^{2+}$ is equal to 6. Observe the following statements Statement-I Hybridisation is not same in both $\mathrm{SF}_6$ and $\mathrm{BrF}_5$. Sta 7. At $T(\mathrm{~K})$ root mean square (rms) velocity of argon (molar mass $40 \mathrm{~g} \mathrm{~mol}^{-1}$ ) is $20 \m 8. 4.0 g of a mixture containing $\mathrm{Na}_2 \mathrm{CO}_3$ and $\mathrm{NaHCO}_3$ is heated to 673 K . Loss in mass of 9. At 298 K , if the standard Gibbs energy change $\Delta_r G^{\circ}$ of a reaction is -115 kJ , the value of $\log _{10} 10. 200 mL of an aqueous solution of $\mathrm{HCl}(\mathrm{pH}=2)$ is mixed with 300 mL of aqueous solution of NaOH $(\mathr 11. Identify the electron rich hydrides from the following 12. The incorrect statement about Castner-kellner cell process is 13. The incorrect statement about Castner-kellner cell process is 14. Which of the following is an incorrect statement about the compounds of group 13 elements? 15. The incorrect statement about the oxidation states of group 14 elements is 16. In drinking water, if the maximum prescribed concentration of copper is $x \mathrm{mgdm}^{-3}$, the maximum prescribed c 17. The empirical formula of the compound ' $D$ ' formed in the given reaction sequence is $$ \mathrm{C}_2 \mathrm{H}_4 \xri 18. Which one of the following mixtures can be separated by steam distillation technique? 19. $$ \text { The IUPAC name of the following compound is } $$ 20. An alkyne has the molecular formula $\mathrm{C}_6 \mathrm{H}_{10}$. The number of 1 -alkyne isomers (excluding stereoiso 21. A metal crystallises in two cubic phases, fcc and bcc with edge lengths $3.5 \mathop {\rm{A}}\limits^{\rm{o}}$ and $3 \m 22. Observe the following data given in the table ( $K_H=$ Henry's law constant)$$ \begin{aligned} &\begin{array}{ccccc} \hl 23. The Gibbs energy change of the reaction (in $\mathrm{kJ} \mathrm{mol}^{-1}$ ) corresponding to the following cell $\math 24. For a first order decomposition of a certain reaction, rate constant is given by the equation. $\log k\left(s^{-1}\right 25. The source of an enzyme is malt and that enzyme converts $X$ into $Y . X$ and $Y$ respectively are 26. In the extraction of iron using blast furnace to remove the impurity $(X)$, chemical $(Y)$ is added to the ore. $X$ and 27. Thionyl chloride on reaction with white phosphorus gives a compound of phosphorus ' $C$ ' which on hydrolysis gives an o 28. Which one of the following statements is not correct? 29. Consider the following. Assertion (A) Phosphorus can form both phosphorus (III) and phosphorus (V) chlorides but nitroge 30. $E_{\mathrm{M}^{3}| \mathrm{M}^{2+}}^{\circ}($ in V$)$ is highest for 31. Arrange the following complexes in the increasing order of their spin only magnetic moment (in B.M) I. $\left[\mathrm{Fe 32. Neoprene is the polymer of a monomer $X$. IUPAC name of $X$ is 33. On prolonged heating with HI , glucose gives a compound ' $C$ ' which can be obtained by Wurtz reaction using sodium met 34. $$ \text { Match the following } $$ .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:black;border- 35. What is the product ' $Z$ ' in the following reaction sequence? $$ \mathrm{C}_6 \mathrm{H}_5 \mathrm{~N}_2 \mathrm{Cl} \ 36. Identify the compounds $A$ and $B$ involved in the formation of given aldol 37. In which of the following, intramolecular hydrogen bonding is present? 38. The products $C$ and $D$ are 39. Identify the incorrect match with respect to compounds to be distinguished and reagent used 40. The reagent which is used to distinguish primary, secondary and tertiary amines from the mixture is

Mathematics

1. If $D \subseteq R$ and $f: D \rightarrow R$ defined by $f(x)=\frac{x^2+x+a}{x^2-x+a}$ is a surjection, then ' $a$ ' lies 2. If the domain of the real valued function $f(x)=\frac{1}{\sqrt{\log _{\frac{1}{3}}\left(\frac{x-1}{2-x}\right)}}$ is $(a 3. If $\frac{1}{2 \cdot 7}+\frac{1}{7 \cdot 12}+\frac{1}{12 \cdot 17}+\frac{1}{17 \cdot 22}+\ldots$ to 10 terms $=k$, then 4. If the system of simultaneous linear equations $x+\lambda y-2 z=1, x-y+\lambda z=2$ and $x-2 y+3 z=3$ is inconsistent fo 5. The system of linear equation $(\sin \theta) x+y-2 z=0$, $2 x-y+(\cos \theta) z=0$ and $-3 x+(\sec \theta) y+3 z=0$, whe 6. If $A=\left[\begin{array}{ll}1 & 2 \\ 3 & 4\end{array}\right]$, then $\operatorname{adj}(\operatorname{adj}(\operatornam 7. The sum of all the roots of the equation $\left|\begin{array}{ccc}x & -3 & 2 \\ -1 & -2 & (x-1) \\ 1 & (x-2) & 3\end{arr 8. One of the values of $\sqrt{24-70 i}+\sqrt{-24+70 i}$ is 9. The set of all values of $\theta$ such that $\frac{1-i \cos \theta}{1+2 i \sin \theta}$ is purely imaginary is 10. If $\cos \alpha+\cos \beta+\cos \gamma=0=\sin \alpha+\sin \beta+\sin \gamma$, then $\sin 2 \alpha+\sin 2 \beta+\sin 2 \g 11. If $\alpha$ is a root of the equation $x^2-x+1=0$, then $\left(\alpha+\frac{1}{\alpha}\right)^3+\left(\alpha^2+\frac{1} 12. If the equations $x^2+p x+2=0$ and $x^2+x+2 p=0$ have a common root, then the sum of the roots of the equation $x^2+2 p 13. If both roots of the equation $x^2-5 a x+6 a=0$ exceed 1 , then the range of ' $a$ ' is 14. If $\alpha, \beta, \gamma$ and $\delta$ are the roots of the equation $x^4-4 x^3+3 x^2+2 x-2=0$ such that $\alpha$ and $ 15. The equation having the multiple root of the equation $x^4+4 x^3-16 x-16=0$ as its roots is 16. There are 15 stations on a train route and the train has to be stopped at exactly 5 stations among these 15 stations. If 17. Number of all possible ways of distributing eight identical apples among three persons is 18. Number of all possible words (with or without meaning) that can be formed using all the letters of the word CABINET in w 19. Numerically greatest term in the expansion of $(2 x-3 y)^n$ when $x=\frac{7}{2}, y=\frac{3}{7}$ and $n=13$ is 20. If $C_0, C_1, C_2, \ldots, C_8$ are the binomial coefficients in the expansion of $(1+x)^8$, then $\sum\limits_{r = 1}^8 21. If $\frac{x+3}{(x+1)\left(x^2+2\right)}=\frac{a}{x+1}+\frac{b x+c}{x^2+2}$, then $a-b+c=$ 22. If $3 \sin \theta+4 \cos \theta=3$ and $\theta \neq(2 n+1) \frac{\pi}{2}$, then $\sin 2 \theta=$ 23. $$ \frac{\cos 15^{\circ} \cos ^2 22 \frac{1^{\circ}}{2}-\sin 75^{\circ} \sin ^2 \cdot 52 \frac{1^{\circ}}{2}}{\cos ^2 15 24. $16 \sin 12^{\circ} \cos 18^{\circ} \sin 48^{\circ}=$ 25. Number of solutions of the equation $\sin ^2 \theta+2 \cos ^2 \theta-\sqrt{3} \sin \theta \cos \theta=2$ lying in the in 26. If $0 \leq x 27. If $\sinh ^{-1} x=\cosh ^{-1} y=\log (1+\sqrt{2})$, then $\tan ^{-1}(x+y)$ 28. In a $\triangle A B C$, if $c^2-a^2=b(\sqrt{3} c-b)$ and $b^2-a^2=c(c-a)$ then, $\angle A B C$ 29. Let $A B C$ be a triangle right angled at $B$. If $a=13$ and $c=84$, then $r+R=$ 30. If $\mathbf{a}=(x+2 y-3) \hat{\mathbf{i}}+(2 x-y+3) \hat{\mathbf{j}}$ and $\mathbf{b}=(3 x-2 y) \hat{\mathbf{i}} +(x-y+1 31. $7 \hat{\mathbf{i}}-4 \hat{\mathbf{j}}+7 \hat{\mathbf{k}}, \hat{\mathbf{i}}-6 \hat{\mathbf{j}}+10 \hat{\mathbf{k}},-\hat 32. If $\mathbf{a}=\hat{\mathbf{i}}+\sqrt{11} \hat{\mathbf{j}}-2 \hat{\mathbf{k}}$ and $\mathbf{b}=\hat{\mathbf{i}}+\sqrt{11 33. Let $\mathbf{a}=\hat{\mathbf{i}}+2 \hat{\mathbf{j}}+2 \hat{\mathbf{k}}$ and $\mathbf{b}=2 \hat{\mathbf{i}}-\hat{\mathbf{ 34. Let $\pi_1$ be the plane determined by the vectors $\hat{\mathbf{i}}+\hat{\mathbf{j}}$. $\hat{\mathbf{i}}+\hat{\mathbf{k 35. The variance of the discrete data $3,4,5,6,7,8,10,13$ is 36. If a number $x$ is drawn randomly from the set of numbers $\{1,2,3, \ldots ., 50\}$, then the probability that number $x 37. If a coin is tossed seven times, then the probability of getting exactly three heads such that number two heads occur co 38. Two cards are drawn randomly from a pack of 52 playing cards one after the other with replacement. If $A$ is the event o 39. If $X$ is a random variable with probability distribution $P(X=k)=\frac{(2 k+3) c}{3^k}, k=0,1,2, \ldots .$. to $\infty$ 40. If a possion variate $X$ satisfies the relation $P(X=3)=P(X=5)$, then $P(X=4)=$ 41. The equation of the locus of a point, which is at a distance of 5 units from a fixed point $(1,4)$ and also from a fixed 42. If $2 x^2+x y-6 y^2+k=0$ is the transformed equation of $2 x^2+x y-6 y^2-13 x+9 y+15=0$ when the origin is shifted to th 43. The line $L \equiv 6 x+3 y+k=0$ divides the line segment joining the points $(3,5)$ and $(4,6)$ in the ratio $-5: 4$. If 44. A straight line through the point $P(1,2)$ makes an angle $\theta$ with positive X -axis in anticlockwise direction and 45. The lines $x-2 y+1=0,2 x-3 y-1=0$ and $3 x-y+k=0$ are concurrent. The angle between the lines $3 x-y+k=0$ and $m x-3 y+6 46. If $\tan ^{-1}(2 \sqrt{10})$ is the angle between the lines $a x^2+4 x y-2 y^2=0$ and $a \in Z$, then the product of the 47. If the equation of the circumcircle of the triangle formed by the lines $L_1 \equiv x+y=0$, $L_2 \equiv 2 x+y-1=0, L_3 \ 48. A circle $C$ touches $X$-axis and makes an intercept of length 2 units on $Y$-axis. If the centre of this circle lies on 49. If $m_1, m_2$ are the slopes of the tangents drawn through the point $(-1,-2)$ to the circle $(x-3)^2+(y-4)^2=4$, then $ 50. A line meets the circle $x^2+y^2-4 x-4 y-8=0$ in two points $A$ and $B$. If $P(2,-2)$ is a point on the circle such that 51. If the centre $(\alpha, \beta)$ of a circle cutting the circles $x^2+y^2-2 y-3=0$ and $x^2+y^2+4 x+3=0$ orthogonally lie 52. The radius of a circle $C_1$ is thrice the radius of another circle $C_2$ and the centres of $C_1$ and $C_2$ are $(1,2)$ 53. If the normals drawn at the points $P\left(\frac{3}{4}, \frac{3}{2}\right)$ and $Q(3,3)$ on the parabola $y^2=3 x$ inter 54. If $\theta$ is the acute angle between the tangents drawn from the point $(1,5)$ to the parabola $y^2=9 x$, then 55. Let $P$ be a point on the ellipse $\frac{x^2}{9}+\frac{y^2}{4}=1$ and let the perpendicular drawn through $P$ to the maj 56. The mid-point of the chord of the ellipse $x^2+\frac{y^2}{4}=1$ formed on the line $y=x+1$ is 57. If the tangent drawn at the point $P(3 \sqrt{2}, 4)$ on the hyperbola $\frac{x^2}{9}-\frac{y^2}{16}=1$ meets its directr 58. If $m: n$ is the ratio in which the point $\left(\frac{8}{5},-\frac{1}{5}, \frac{8}{5}\right)$ divides the segment joini 59. If $(\alpha, \beta \gamma)$ is the foot of the perpendicular drawn from a point $(-1,2,-1)$ to the line joining the poin 60. If $A(2,1,-1), B(6,-3,2), C(-3,12,4)$ are the vertices of a $\triangle A B C$ and the equation of the plane containing t 61. If $\{x\}=x-[x]$, where $[x]$ is the greatest integer $\leq x$ and $\mathop {\lim }\limits_{x \to {0^ - }} \frac{\cos ^{ 62. For $a \neq 0$ and $b \neq 0$, if the real valued function $f(x)=\frac{\sqrt[5]{a(625+x)}-5}{\sqrt[4]{625+b x}-5}$ is co 63. If $3^x y^x=x^{3 y}$, then the value of $\frac{d y}{d x}$ at $x=1$ is 64. The value of $x$ at which the real valued function $f(x)=7|2 x+1|-19|3 x-5|$ is not differentiable is 65. If $y=\left(1-x^2\right) \tanh ^{-1} x$, then $\frac{d^2 y}{d x^2}=$ 66. If $f(x)=\log _{\left(x^2-2 x+1\right)}\left(x^2-3 x+2\right), x \in R-[1,2]$ and $x \neq 0$, then $f^{\prime}(3)=$ 67. If the normal drawn at the point $P$ on the curve $y^2=x^3-x+1$ makes equal intercepts on the coordinate axes, then the 68. If a balloon lying at an altitude of 30 m from an observed at a particular instant is moving horizontally. At the rate o 69. The approximate value of $\sqrt{6560}$ is 70. A real valued function $f:[4, \infty) \rightarrow R$ is defined as $f(x)=\left(x^2+x+1\right)^{\left(x^2-3 x-4\right)}$, 71. If a normal is drawn at a variable point $P(x, y)$ on the curve $9 x^2+16 y^2-144=0$, then the maximum distance from the 72. $$ \int e^{-x}\left(x^3-2 x^2+3 x-4\right) d x= $$ 73. $$ \int\left(1+\tan ^2 x\right)(1+2 x \tan x) d x= $$ 74. $$ \int \frac{x^2 \tan ^{-1} x}{\left(1+x^2\right)^2} d x= $$ 75. $$ \int \frac{\log x}{(1+x)^3} d x= $$ 76. $$ \int_0^{\pi / 4} \frac{1}{5 \cos ^2 x+16 \sin ^2 x+8 \sin x \cos x} d x= $$ 77. $$ \int_8^{18} \frac{1}{(x+2) \sqrt{x-3}} d x= $$ 78. If [.] denotes the greatest integer function, then $\int_1^2\left[x^2\right] d x=$ 79. The differential equation of a family of hyperbolas whose axes are parallel to coordinate axes, centres lie on the line 80. The general solution of the differential equation $\left(x^3-y^3\right) d x=\left(x^2 y-x y^2\right) d y$ is

Physics

1. The phenomenon of physics that deals with the constitution and structure of matter at the minute scales of atoms and nuc 2. If the length of a rod is measured as 830600 mm , then the number of significant figures in the measurement is 3. A particle initially at rest is moving along a straight line with an acceleration of $2 \mathrm{~ms}^{-2}$. At a time of 4. If a body projected with a velocity of $19.6 \mathrm{~ms}^{-1}$ reaches a maximum height of 9.8 m , then the range of th 5. A force separately produces accelerations of $18 \mathrm{~ms}^{-2}$, $9 \mathrm{~ms}^{-2}$ and $6 \mathrm{~ms}^{-2}$ in 6. A body of mass 500 g is falling from rest from a height of 3.2 m from the ground. If the body reaches the ground with a 7. A body of mass ' $m$ ' moving with a velocity of ' $v$ ' collides head on with another body of mass ' 2 m ' at rest. If 8. A thin uniform circular disc of mass $\frac{10}{\pi^2} \mathrm{~kg}$ and radius 2 m is rotating about an axis passing th 9. A solid cylinder of mass 2 kg , length 40 cm and radius 10 cm is placed in contact with a solid sphere of mass 0.5 kg an 10. If the amplitude of a damped harmonic oscillator becomes half of its initial amplitude in a time of 10 s , then the time 11. A body is projected from the Earth's surface with a speed $\sqrt{5}$ times the escape speed $\left(V_e\right)$. The spee 12. A metal rod of area of cross-section $3 \mathrm{~cm}^2$ is stretched along its length by applying a force of $9 \times 1 13. An air bubble rises from the bottom to the top of a water tank in which the temperature of the water is uniform. The sur 14. If $W_1$ is the work done in increasing the radius of a soap bubble from ' $r$ ' to ' $2 r$ ' and $W_2$ is the work done 15. To increase the length of a metal rod by $0.4 \%$ the temperature of the rod is to be increased by (Coefficient of linea 16. The power of a refrigerator that can make 15 kg of ice at $0^{\circ} \mathrm{C}$ from water at $30^{\circ} \mathrm{C}$ i 17. Three moles of an ideal gas undergoes a cyclic process $A B C A$ as shown in the figure. The pressure, volume and absolu 18. The pressure of a mixture of 64 g of oxygen, 28 g of nitrogen and 132 g of carbon dioxide gases in a closed vessel is $p 19. A sound wave of frequency 210 Hz travels with a speed of $330 \mathrm{~ms}^{-1}$ along the positive $X$-axis. Each parti 20. A string vibrates in its fundamental mode when a tension $T_1$ is applied to it. If the length of the string is decrease 21. An object of height 3.6 cm is placed normally on the principal axis of a concave mirror of radius of curvature 30 cm . I 22. Monochromatic light of wavelength $6000 \mathop {\rm{A}}\limits^{\rm{o}} $ incidents on a small angled prism. If the ang 23. In Young's double slit experiment, if the distance between 5th bright and 7th dark fringes is 3 mm , then the distance b 24. Four electric charges $2 \mu \mathrm{C}, Q, 4 \mu \mathrm{C}$ and $12 \mu \mathrm{C}$ are placed on $X$-axis at distance 25. If a particle of mass 10 mg and charge $2 \mu \mathrm{C}$ at rest is subjected to a uniform electric field of potential 26. The potential difference between points $C$ and $D$ of the electrical circuit shown in the figure is 27. The length of a potentiometer wire is 2.5 m and its resistance is $8 \Omega$. A cell of negligible internal resistance a 28. The magnetic field due to a current carrying circular coil on its axis at a distance of $\sqrt{2} \mathrm{~d}$ from the 29. A square coil of side 10 cm having 200 turns is placed in a uniform magnetic field of 2 T such that the plane of the coi 30. The magnetic field at a point $P$ on the axis of a short bar magnet of magnetic moment $M$ is $B$. If another short bar 31. A circular coil of area $3 \times 10^{-2} \mathrm{~m}^2, 900$ turns and a resistance of $1.8 \Omega$ is placed with its 32. An electric bulb, an open coil inductor, an AC source and a key are all connected in series to form a closed circuit. Th 33. If the rate of change in electric flux between the plates of a capacitor is $9 \pi \times 10^3 \mathrm{Vms}^{-1}$, then 34. 20 kV electrons can produce X- rays with a minimum wavelength of 35. The ratio of wavelengths of second line in Balmer series and the first line in Lyman series of hydrogen atom is 36. A radioactive material of half-life 2.5 hours emits radiation that is 32 times the safe maximum level. The time (in hour 37. If the number of uranium nuclei required per hour to produce a power of 64 kW is $7.2 \times 10^{18}$, then the energy r 38. According to a graph drawn between the input and output voltages of a transistor connected in common emitter configurati 39. If the energy gap of a semiconductor used for the fabrication of an LED is nearly 1.9 eV , then the color of the light e 40. When the receiving antenna is on the ground, the range of a transmitting antenna of height 980 m is (Radius of the Earth

TG EAPCET 2025 (Online) 3rd May Morning Shift

MCQ (Single Correct Answer)

-0

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

$\frac{\left(\tan ^{-1} x\right)^2}{4}-\frac{x \tan ^{-1} x}{2\left(1+x^2\right)}+\frac{1-x^2}{4\left(1+x^2\right)}+C$

$\frac{\left(\tan ^{-1} x\right)^2}{4}-\frac{4 x \tan ^{-1} x+1-x^2}{8\left(1+x^2\right)}+C$

$\frac{\left(\tan ^{-1} x\right)^2}{4}-\frac{x \tan ^{-1} x}{\left(1+x^2\right)}-\frac{1-x^2}{4\left(1+x^2\right)}+C$

$\frac{(\tan x)^2}{4}+\frac{4 x \tan ^{-1} x-1+x^2}{4\left(1+x^2\right)}+C$

TG EAPCET 2025 (Online) 3rd May Morning Shift

MCQ (Single Correct Answer)

-0

$$ \int \frac{\log x}{(1+x)^3} d x= $$

$\frac{1}{2}\left[\frac{1}{1+x}+\frac{\log x}{(1+x)^2}-\log \left(x^2+x\right)\right]+C$

$\frac{1}{2}\left[\frac{1}{1+x}-\frac{\log x}{(1+x)}-\log \left(1+x^2\right)\right]+C$

$\frac{1}{2}\left[\frac{1}{1+x}+\frac{\log x}{(1+x)^2}-\log \left(1+x^2\right)\right]+C$

$\frac{1}{2}\left[\frac{1}{1+x}-\frac{\log x}{(1+x)^2}+\log \left(\frac{x}{1+x}\right)\right]+C$

TG EAPCET 2025 (Online) 3rd May Morning Shift

MCQ (Single Correct Answer)

-0

$$ \int_0^{\pi / 4} \frac{1}{5 \cos ^2 x+16 \sin ^2 x+8 \sin x \cos x} d x= $$

$\tan ^{-1}\left(\frac{4}{5}\right)$

$2 \tan ^{-1}\left(\frac{3}{5}\right)$

$\frac{1}{8} \tan ^{-1}\left(\frac{8}{9}\right)$

$\frac{1}{4} \tan ^{-1}\left(\frac{7}{8}\right)$

TG EAPCET 2025 (Online) 3rd May Morning Shift

MCQ (Single Correct Answer)

-0

$$ \int_8^{18} \frac{1}{(x+2) \sqrt{x-3}} d x= $$

$\frac{\pi}{6 \sqrt{5}}$

$\frac{\pi}{6}$

$\frac{\pi}{3}$

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

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