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AP EAPCET 2026
List of top Questions asked in AP EAPCET- 2026
If \[ z=\frac{(1-i)^3}{(\sqrt{3}-i)^2}, \] then the complex conjugate of \(z\) is:
AP EAPCET - 2026
AP EAPCET
Mathematics
Complex Numbers and Quadratic Equations
Let \(A\) be a \(3\times3\) matrix such that \[ AA^{T}=I_3. \] Then \(A\) is:
AP EAPCET - 2026
AP EAPCET
Mathematics
Matrices
The locus of the point \(z=x+iy\) satisfying \[ \left|\frac{z-(2+i)}{z+(2-i)}\right|=2 \] is:
AP EAPCET - 2026
AP EAPCET
Mathematics
Complex Numbers and Quadratic Equations
Let \(\alpha\) and \(\beta\) be the roots of \[ x^2+bx+c=0. \] If \[ \alpha^2+\beta^2=14 \] and \[ \alpha\beta=3, \] then the value of \(b^2\) is:
AP EAPCET - 2026
AP EAPCET
Mathematics
Quadratic Equations
If \[ \cos\alpha+\cos\beta+\cos\gamma=0 \] and \[ \sin\alpha+\sin\beta+\sin\gamma=0, \] then which of the following is true?
AP EAPCET - 2026
AP EAPCET
Mathematics
Complex numbers
The function \[ f(x)=\sin\left(\log\left(x+\sqrt{x^2+1}\right)\right) \] is
AP EAPCET - 2026
AP EAPCET
Mathematics
Functions
Let \(f,g,h\) be differentiable functions such that \[ \begin{vmatrix} f(x) & g(x) & h(x)\\ f'(x) & g'(x) & h'(x)\\ f''(x) & g''(x) & h''(x) \end{vmatrix} =0. \] Then which of the following statements is correct?
AP EAPCET - 2026
AP EAPCET
Mathematics
Determinants
Consider the system of linear equations \[ x+y+z=6, \] \[ x+2y+3z=10, \] \[ 3x+2y+\lambda z=\mu. \] If the system has infinitely many solutions, then the value of \(\mu+\lambda\) is:
AP EAPCET - 2026
AP EAPCET
Mathematics
System of Linear Equations
If \[ a_n= \sqrt{7+\sqrt{7+\sqrt{7+\cdots}}} \] (\(n\) radicals), then which of the following is true?
AP EAPCET - 2026
AP EAPCET
Mathematics
Sequence and series
The domain of the real-valued function \[ f(x)=\cos^{-1}\left(\frac{2-x}{4}\right)+[\log(3-x)]^{-1} \] is:
AP EAPCET - 2026
AP EAPCET
Mathematics
Functions
What are X and Y respectively in the following sequence of reactions?
AP EAPCET - 2026
AP EAPCET
Chemistry
Nucleophilic and electrophilic substitution reactions (both aromatic and aliphatic)
The product Z of the given reaction sequence is: \(C_2H_4 \xrightarrow[(ii)\ KMnO_4/H^+]{(i)\ H_2O/H^+} X \xrightarrow{SOCl_2} Y \xrightarrow{(C_2H_5)_2Cd} Z\)
AP EAPCET - 2026
AP EAPCET
Chemistry
Organic Chemistry
The antibiotic which is supposed to be toxic towards certain strains of cancer cells is:
AP EAPCET - 2026
AP EAPCET
Chemistry
Antibiotics
Consider the following organic halides:
(I) Bromobenzene,
(II) 2-Bromopropane,
(III) 1-Bromopropane.
The correct order of reactivity towards \(S_N2\) reaction is:
AP EAPCET - 2026
AP EAPCET
Chemistry
Nucleophilic and electrophilic substitution reactions (both aromatic and aliphatic)
What are A and C in the following sequence of reactions? \(C_2H_2 \xrightarrow{A} B \xrightarrow{\text{polymerisation}} C\)
AP EAPCET - 2026
AP EAPCET
Chemistry
Polymers
The number of \(\alpha\)-hydrogens present in the major product (X) in the given reaction is:
(Reaction: Alkyl halide + alc. KOH \(\rightarrow\) X)
AP EAPCET - 2026
AP EAPCET
Chemistry
Organic Reactions
Which one of the following is not correct?
AP EAPCET - 2026
AP EAPCET
Chemistry
Organic Chemistry
Observe the following reactions: I. D-Glucose \(\xrightarrow{NH_2OH}\) II. D-Glucose \(\xrightarrow[(ii) NH_2OH]{(i) (CH_3CO)_2O}\). Correct statement regarding the reactions I and II is:
AP EAPCET - 2026
AP EAPCET
Chemistry
Biochemistry
Which of the following exhibit only geometrical isomerism?
AP EAPCET - 2026
AP EAPCET
Chemistry
Optical and geometrical isomerism
Which refining method involves the reactions I and II shown below? I. \(Zr_{(Impure)} + 2I_2 \rightarrow ZrI_4\) II. \(ZrI_4 \xrightarrow{1800 K} Zr_{(Pure)} + 2I_2\)
AP EAPCET - 2026
AP EAPCET
Chemistry
Metallurgy
Which anion of the simple salt can be confirmed by Brown ring test?
AP EAPCET - 2026
AP EAPCET
Chemistry
Inorganic chemistry
The fusion of chromite ore with \(Na_2CO_3\) in free access of air leads to the formation of yellow coloured solution of compound A and residue B along with the evolution of \(CO_2\) gas. Identify the correct statements regarding A and B.
I. A contains Cr-O-Cr linkage
II. B is \(Fe_2O_3\)
III. Oxidation state of chromium in A is +6
AP EAPCET - 2026
AP EAPCET
Chemistry
Transition Elements
Which of the following reactions is non-spontaneous?
AP EAPCET - 2026
AP EAPCET
Chemistry
The p-Block Elements
Which of the following colloidal system represents a gel?
AP EAPCET - 2026
AP EAPCET
Chemistry
Physical Chemistry
At \(27^{\circ}C\), x g of \(C_6H_{12}O_6\) (molar mass = \(180 \text{ g mol}^{-1}\)) and y g of a non-volatile, non-electrolyte (molar mass = \(92 \text{ g mol}^{-1}\)) were present separately in 1.0 L solutions. The osmotic pressure of two solutions is equal. What is x/y?
AP EAPCET - 2026
AP EAPCET
Chemistry
Osmotic pressure
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