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AP EAPCET 2025
List of top Questions asked in AP EAPCET- 2025
If \( \left(\frac{2}{3},0\right) \) is the centroid of the triangle formed by the lines \( 4x^2 - y^2 = 0 \) and \( lx + my + n = 0 \), then \( l+m+n= \):
AP EAPCET - 2025
AP EAPCET
Mathematics
Geometry
If the tangent drawn at the point \( (x_1,y_1) \), \(x_1,y_1 \in N \) on the curve \( y = x^4 - 2x^3 + x^2 + 5x \) passes through origin, then \( x_1+y_1 = \)
AP EAPCET - 2025
AP EAPCET
Mathematics
Geometry
The tangents drawn to the hyperbola \(5x^2 - 9y^2 = 90\) through a variable point \(P\) make angles \(\alpha\) and \(\beta\) with its transverse axis. If \(\alpha\) and \(\beta\) are complementary angles, then the locus of \(P\) is
AP EAPCET - 2025
AP EAPCET
Mathematics
Geometry
The equation of chord AB of ellipse \(2x^2 + y^2 = 1\) is \(x - y + 1 = 0\). If O is the origin, then \(\angle AOB =\)
AP EAPCET - 2025
AP EAPCET
Mathematics
Geometry
If \( A(2,-1,1) \), \( B(2,5,1) \) and \( C(0,-2,3) \) are the vertices of a triangle, and \( D \) is the point of intersection of the side \( BC \) and the internal angular bisector of angle \( A \), then \( AD = \):
AP EAPCET - 2025
AP EAPCET
Mathematics
Geometry
If \(\theta\) is the acute angle between the asymptotes of a hyperbola \(7x^2 - 9y^2 = 63\), then \(\cos \theta =\)
AP EAPCET - 2025
AP EAPCET
Mathematics
Geometry
If two sides of a triangle are represented by \( 3x^2 - 5xy + 2y^2 = 0 \) and its orthocentre is (2,1), then the equation of the third side is
AP EAPCET - 2025
AP EAPCET
Mathematics
Geometry
If $L$ is the normal drawn to the parabola $y^2 = 8x$ at the point $t = \frac{1}{\sqrt{2}}$, then the foot of the perpendicular drawn from the focus of the parabola onto the normal $L$ is:
AP EAPCET - 2025
AP EAPCET
Mathematics
Geometry
In \(\triangle ABC\), if \(a = 2\), \(b = 3\), and \(\angle C = 60^\circ\), then the value of \(c^{2}\) is:
AP EAPCET - 2025
AP EAPCET
Mathematics
Geometry
Which of the following does not exist?
AP EAPCET - 2025
AP EAPCET
Chemistry
Periodic Trends In Properties Of Elements
Match the following:
List-I (Compound)
List-II (Use)
A) Kieselguhr
IV) To convert alcohol directly into gasoline
B) Silica gel
I) Chromatographic material
C) ZSM-5
III) Filtration plants
D) Hydrated zeolites
II) Softening of hard water
AP EAPCET - 2025
AP EAPCET
Chemistry
Periodic Trends In Properties Of Elements
Identify the incorrect order against the stated property.
AP EAPCET - 2025
AP EAPCET
Chemistry
Periodic Trends In Properties Of Elements
Which of the following properties is not correct for silicones?
AP EAPCET - 2025
AP EAPCET
Chemistry
Periodic Trends In Properties Of Elements
Identify the incorrect order against the stated property.
AP EAPCET - 2025
AP EAPCET
Chemistry
Periodic Trends In Properties Of Elements
Identify the correct statements from the following:
I) CO reduces the oxygen carrying ability of blood.
II) Producer gas contains CO and N₂.
III) C-O bond length in CO₂ is 115 pm.
AP EAPCET - 2025
AP EAPCET
Chemistry
Periodic Trends In Properties Of Elements
Which of the following statements is not correct?
AP EAPCET - 2025
AP EAPCET
Chemistry
Periodic Trends In Properties Of Elements
The enthalpy of atomization of \({CH}_3{NH}_2(g)\) is 2313 kJ mol\(^{-1}\). If \(\Delta_{{C-H}}^{\ominus}\) and \(\Delta_{{N-H}}^{\ominus}\) are 414 and 389 kJ mol\(^{-1}\) respectively, then \(\Delta_{{C-N}}^{\ominus}\) (in kJ mol\(^{-1}\)) will be:
AP EAPCET - 2025
AP EAPCET
Chemistry
Thermochemistry
The value of \(\Delta_r H\) for the reaction:
\[ {N}_2{O}_4(g) + 3 {CO}(g) \rightarrow {N}_2{O}(g) + 3 {CO}_2(g) \] (in kJ) is:
(Given: Enthalpies of formation in kJ mol\(^{-1}\) are \({CO}(g) = -110\), \({CO}_2(g) = -393\), \({N}_2{O}(g) = 81\), and \({N}_2{O}_4(g) = 9.7\))
AP EAPCET - 2025
AP EAPCET
Chemistry
Thermochemistry
At temperature \(T(K)\), the solubility product of AgBr is \(4 \times 10^{-13}\). What is its solubility in 0.1 M KBr solution?
AP EAPCET - 2025
AP EAPCET
Chemistry
Thermochemistry
At 25$^\circ$C, the percentage of ionization of x M acetic acid is 4.242. What is the pH of the acetic acid solution?
Given: $\log 4.242 = 0.6275$, $\log 0.04242 = -1.372$, $K_a = 1.8 \times 10^{-5}$
AP EAPCET - 2025
AP EAPCET
Chemistry
Thermochemistry
At \(25 ^\circ\text{C}\), \(K_a\) of formic acid is \(1.8 \times 10^{-4}\). What is the \(K_b\) of \( \text{HCOO}^- \)?
AP EAPCET - 2025
AP EAPCET
Chemistry
Thermochemistry
Consider the following gaseous equilibrium reactions (I), (II) and (III) with equilibrium constants \( K_1 \), \( K_2 \), and \( K_3 \) respectively:
I)
\( \frac{1}{2} N_2 + \frac{3}{2} H_2 \rightleftharpoons NH_3 \)
II)
\( 2NO \rightleftharpoons N_2 + O_2 \)
III)
\( H_2 + \frac{1}{2} O_2 \rightleftharpoons H_2O \)
The correct expression for the equilibrium constant for the gaseous equilibrium reaction:
\[ 2NH_3 + \frac{5}{2} O_2 \rightleftharpoons 2NO + 3H_2O \]
AP EAPCET - 2025
AP EAPCET
Chemistry
Thermochemistry
At \(25 ^\circ\text{C}\), \(K_a\) of formic acid is \(1.8 \times 10^{-4}\). What is the \(K_b\) of \( \text{HCOO}^- \)?
AP EAPCET - 2025
AP EAPCET
Chemistry
Thermochemistry
Consider the following gaseous equilibrium reactions (I), (II) and (III) with equilibrium constants \( K_1 \), \( K_2 \), and \( K_3 \) respectively:
I)
\( \frac{1}{2} N_2 + \frac{3}{2} H_2 \rightleftharpoons NH_3 \)
II)
\( 2NO \rightleftharpoons N_2 + O_2 \)
III)
\( H_2 + \frac{1}{2} O_2 \rightleftharpoons H_2O \)
The correct expression for the equilibrium constant for the gaseous equilibrium reaction:
\[ 2NH_3 + \frac{5}{2} O_2 \rightleftharpoons 2NO + 3H_2O \]
AP EAPCET - 2025
AP EAPCET
Chemistry
Thermochemistry
For the following given equilibrium reaction, K\(_p\) is equal to 1076 at T(K). What is the value of T (in K)?
\[ \text{N}_2(g) + 3\text{H}_2(g) \rightleftharpoons 2\text{NH}_3(g) \] Given that \( R = 0.082 \, \text{L atm K}^{-1} \text{mol}^{-1} \), \( K_p = 1076 \), the equation is: \[ K_p = 1076, \, R = 0.082 \, \text{L atm K}^{-1} \text{mol}^{-1} \]
AP EAPCET - 2025
AP EAPCET
Chemistry
Thermochemistry
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