List of top Questions asked in AP EAPCET- 2022

The pairs of straight lines \( 2x^2 + axy + 3y^2 = 0 \) and \( 2x^2 + bxy - 3y^2 = 0 \) share a common line, and the other lines are perpendicular. Then values of \( a \) and \( b \) are?
If the angles of a triangle ABC are in the ratio 1:2:3, then the corresponding sides are in the ratio:
Let \( P_1, P_2, \ldots, P_{15} \) be 15 points on a circle. The number of distinct triangles formed by points \( P_i, P_j, P_k \) such that \( i + j + k \ne 15 \), is:
If $a = 2$, $b = 3$, $c = 4$ in a triangle $ABC$, then $\cos C =$
A farmer owns a triangular plot in Guntur. He measures the sides of the plot as 4 cm, 5 cm, and 7 cm. The area of the land (in sq. cm) is:
If a polygon of $n$ sides has 560 diagonals, then $n$ = ?
In triangle \( ABC \), if \( a = 2 \), \( b = 3 \) and \( \sin A = \frac{2}{3} \), then \( \angle B = \):
In a triangle ABC, let \(\angle C = \pi/2\). If r and R are respectively inradius and circumradius of ABC, then R + r =
Two curves \( y = a^x \) and \( y = b^x \) intersect at some angle \( \alpha \). Find \( \tan \alpha \).
The least value of $n$ so that ${}^{n-1}C_3 + {}^{n-1}C_4>{}^nC_3$ is
Given points \( A(-3, 3), B(1, 1), C(1, -1), D(-2, -2) \), find the angle between diagonals \( AC \) and \( BD \).
Which of the following represents correct order of oxidizing power of halogens with water
Arrange the following oxides in correct order of their acidic character. N$_2$O$_5$, P$_2$O$_5$, N$_2$O$_3$, As$_2$O$_3$
Identify the correct statements about Boron:
I. It has high melting point.
II. It has high density.
III. It has high electrical conductivity.
IV. B-10 isotope of it has high ability to absorb neutrons
Which of the following tetrahalides does not exist?
In long form of periodic table, the d-block element which forms interstitial hydride is
The conjugate base of NH$_4^+$ is
The hybridizations of carbon in graphite, diamond and C60 are respectively
Identify the major product from the following reaction sequence:
major product from the following reaction sequence
Reactant: 1-phenylpropanol
Identify A and B from the following reaction:\ NaNO3(\xrightarrow{\Delta}\) xA + yB
For the formation of NH$_3$(g) from its constituent elements, which of the relation between the reaction quotient (Q) and equilibrium constant (K$_c$) is correct for the backward reaction?
Among P$_4$, S$_8$ and N$_2$, the elements which undergo disproportionation when heated with NaOH solution
Match the following List - I (Type of reaction) \quad List - II (unbalanced equation) A Combination reaction \quad i) AgNO$_3$ + CaCl$_2$ $\rightarrow$ AgCl + Ca(NO$_3$)$_2$ B Decomposition reaction \quad ii) Cl$_2$ $\rightarrow$ Cl$^-$ + ClO$_3^-$ C Disproportionation reaction \quad iii) Mg + N$_2$ $\rightarrow$ Mg$_3$N$_2$ D Displacement reaction \quad iv) KClO$_3$ $\xrightarrow{\Delta$ KCl + O$_2$}
The crystal field theory is successful in explaining which of the following?
The correct statements with respect to dialysis of colloidal solution are:
I. Colloidal particles can pass through the membrane
II. Animal bladder can be used as membrane
III. Cellophane is not used as membrane
IV. Ions and small molecules can diffuse through membrane into water