List of top Questions asked in AP EAPCET- 2026

For all real values of \(\lambda\), the point that lies on the polar of \[ (2\lambda,\lambda-4) \] with respect to the circle \[ x^2+y^2-4x-6y+1=0 \] is

The direction ratios of a line \(L\) are \((ab,b,b)\) \((b\gt 0)\) and the line \(L\) passes through \[ P(b,b,b). \] If \(Q(x,y,z)\) is a point on the line at a distance of \(b\) units from \(P\), then \[ x+y+z= \]

A box \(P\) contains 3 white and 7 red balls. A bag \(Q\) contains 4 green and 5 blue balls. Two balls are randomly drawn from box \(P\). If both are of the same color, one ball is drawn from bag \(Q\), and if the two balls are of different colors, 2 balls are drawn from bag \(Q\). If it is known that there is exactly one green ball among the balls drawn from bag \(Q\), then the probability that the two balls drawn from box \(P\) are of different colors is

If \(f(x)\) is defined by \[ f(x)= \begin{cases} \dfrac{1-\tan x}{4x-\pi}, & x\ne \dfrac{\pi}{4},\; x\in\left[0,\dfrac{\pi}{2}\right] \\[6pt] k, & x=\dfrac{\pi}{4} \end{cases} \] and \(f(x)\) is continuous in \[ \left[0,\frac{\pi}{2}\right], \] then \(k=\)

If the function \[ f(x)=x^3+bx^2+ax \] satisfies the conditions of Rolle's theorem in \([1,3]\) with \[ c=2+\frac{1}{\sqrt3}, \] then \((a,b)=\)

If \[ \lim_{x\to\infty}\left(1+\frac{a}{x}+\frac{b}{x^2}\right)^{2x}=e^2, \] then \(a=\)

An angle between the plane \[ x+y+z=5 \] and the line \[ \frac{x-16}{0} = \frac{y-0}{-1} = \frac{z+47}{4} \] is

The position vectors of the vertices \(A\) and \(B\) of a triangle \(ABC\) are \[ \hat{i}+3\hat{j}+4\hat{k} \] and \[ 2\hat{i}+\hat{j}+2\hat{k} \] respectively. If \[ |AC|=5 \] and \[ \angle A=\frac{\pi}{3}, \] then \[ |BC|= \]

The following is the probability distribution of a discrete random variable. If its mean is \(2.81\), then \(\alpha\beta=\) \[ \begin{array}{|c|c|c|c|c|c|} \hline X=x & -1 & -2 & 1 & \alpha & 3\\ \hline P(X=x) & \frac{1}{25} & \beta & \frac14 & \frac{9}{25} & \frac{3}{10}\\ \hline \end{array} \]

If \[ \sqrt{x}+\sqrt{y}=\sqrt{a}, \] then \[ \left(\frac{d^2y}{dx^2}\right)_{x=a} = \]

Match the following lists regarding blood coagulation inhibitors and factors: A) Heparin, B) Tissue thromboplastin, C) Warfarin, D) EDTA (I) Antagonistic to Vit-K, (II) Binds to calcium ions, (III) Inactivates thrombin, (IV) Activates Proconvertin

Thymectomy (removal of the Thymus) in early childhood would primarily result in:

Study the following statements regarding Biodiversity conservation: I. Sacred groves are examples of in-situ conservation. II. National parks allow private ownership of land within their boundaries. III. Wild life sanctuaries may permit limited eco-tourism under regulation. IV. Ex-situ conservation includes seed banks and cryopreservation.

Assertion (A): Insulin can't be administered orally. Reason (R): The animal insulin causes side effects to man due to non-self antigens.

Match List-I and List-II with respect to the biological processes catalyzed by specific enzymes: {ll} List - I & List - II
I. Hydrolysis of starch to maltose & A. Diastase
II. Conversion of proteins to peptides & B. Pepsin
III. Hydrolysis of sucrose to glucose and fructose & C. Invertase
IV. Glucose to ethanol & D. Zymase

Most of the bones of cranium are:

Assertion (A): Gamete Intra Fallopian Transfer (GIFT) is recommended for woman who cannot produce ova but have a normal uterus for embryo development. Reason (R): In GIFT, an ovum collected from a donor is transferred into the fallopian tube of the recipient woman for in vivo fertilization.

Statement I: The parasympathetic nervous system increases the peristaltic movements of the gut. Statement II: The egestion of faeces to the outside through anal opening is an involuntary process.

Fertilizer prepared from the scrap fish is:

Match the following: A) Pituitary gland - I. Cortisol B) Adrenal cortex - II. Insulin C) Pancreas - III. Oxytocin D) Adrenal medulla - IV. Adrenaline

Study the following and pick up the correct statements: I. Beta diversity is measured by counting the number of taxa within a particular area II. In tropical regions, biodiversity is more III. Tilman stated that increased diversity contributed to higher productivity IV. Cryopreservation is a type of in-situ conservation

Statement I: Hardy Weinberg principle states that the allelic frequency of a gene occurs by chance. Statement II: This equilibrium reduces the genetic variations by removing low frequency allels.

Which of the following immunoglobulin (Ig) is present in colostrum?

Pick up the pollutant that cause head ache and blurred vision at lower concentration and at higher concentration, death may result.