List of top Questions asked in TS EAMCET- 2024

The vertices of triangle \( \Delta ABC \) are \( A(2, 3, k) \), \( B(-1, k, -1) \), and \( C(4, -3, 2) \). If \( AB = AC \) and \( k>0 \), then the triangle \( ABC \) is:
If the ratio of the perpendicular distances of a variable point \( P(x,y,z) \) from the X-axis and from the YZ-plane is 2:3, then the equation of the locus of \( P \) is:
The curve \(y = x^3 - 2x^2 + 3x - 4\) intersects the horizontal line \(y = -2\) at the point \(P(h,k)\). If the tangent drawn to this curve at \(P\) meets the X-axis at \((x_1, y_1)\), then \(x_1 =\)
If \( (2, -1) \) is the point of intersection of the pair of lines \[ 2x^2 + axy + 3y^2 + bx + cy - 3 = 0 \quad \text{then} \quad 3a + 2b + c = \]
If the direction ratios of two lines are \( (3,0,2) \) and \( (0,2,k) \), and \( \theta \) is the angle between them, and if \( |\cos \theta| = \frac{6}{13} \), then \( k = \)
(0, k) is the point to which the origin is to be shifted by the translation of the axes so as to remove the first degree terms from the equation \( ax^2 - 2xy + by^2 - 2x + 4y + 1 = 0 \) and \( \frac{1}{2} \tan^{-1}(2) \) is the angle through which the coordinate axes are to be rotated about the origin to remove the \( xy \)-term from the given equation, then \( a + b = \):
The circles \(x^2 + y^2 + 2x - 6y - 6 = 0\) and \(x^2 + y^2 - 6x - 2y + k = 0\) are two intersecting circles and \(k\) is not an integer. If \( \theta \) is the angle between the two circles and \( \cos \theta = -\frac{5}{24} \), then find \( k \).
The line \( x + y + 1 = 0 \) intersects the circle \( x^2 + y^2 - 4x + 2y - 4 = 0 \) at the points A and B. If \( M(a, b) \) is the midpoint of AB, then \( a - b = \)?
If \( A(1, -2), B(-2, 3), C(-1, -3) \) are the vertices of a triangle ABC. \( L_1 \) is the perpendicular drawn from \( A \) to \( BC \) and \( L_2 \) is the perpendicular bisector of \( AB \). If \( (l, m) \) is the point of intersection of \( L_1 \) and \( L_2 \), then \( 26m - 3 = \)
In C\(_4\) plants, the Oxaloacetic acid is formed by this reaction:
Assertion (A): Continued close breeding usually reduces fertility and even productivity.
Reason (R): Inbreeding depression.
Match the following:
Epithelial tissues
In cockroach, inspiration takes place through:
In cockroach, wings are elevated by the contraction of:
Excretory organs in adult molluscs are:
Assertion(A) :The reaction between \( CO_2 \) and \( H_2O \) in the RBC is much faster than in blood plasma. Reason(R) :Red blood cells contain a very high concentration of carbonic anhydrase

Flagellum in Polytoma is

Study the following and pick up the correct statements:

 I. Greater biodiversity is found in temperate regions 
II. Invasion of alien species is a threat for local species 
III. Loris tardigradus is one of the threatened species in our country 
IV. A biographic region with significant reservoir of biodiversity that is under threat of extinction from humans is called a sanctuary

Thermostable DNA polymerase (Taq Polymerase) enzyme is isolated from the following bacterium:
Parasite responsible for hyperplasia in its host is:
Floral formula of Solanum nigrum:
Study the following and pick up the correct statements: I. Superior colliculi are concerned with auditory function
II. Inferior colliculi are concerned with visual function
III. Pneumotaxic centre lies in pons varoli
IV. Thermoregulatory centre lies in the hypothalamus

Match the following:

Match the following:
Enzyme Activation by Elements

Match the following: