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AP EAMCET
List of top Questions asked in AP EAMCET
Assertion [A]: Scale leaves of rhizome of ginger are vegetative propagules.
Reason [R]: Vegetative propagules of flowering plants are capable of giving new offsprings.
AP EAMCET - 2024
AP EAMCET
Botany
Enzymology
Match the following list
AP EAMCET - 2024
AP EAMCET
Botany
Biochemistry
Stem tubes, Corn, Rhizome, Cladophyll, Bulbil, Stolon modifications shown by this correct sequence of plants
AP EAMCET - 2024
AP EAMCET
Botany
Plant Anatomy
Pyriform gametes with two laterally attached flagella are found in
AP EAMCET - 2024
AP EAMCET
Botany
Plant Physiology
Identify wrong matching
AP EAMCET - 2024
AP EAMCET
Botany
Enzymology
Name the plant and body showing Cup or saucer shaped ascocarp
AP EAMCET - 2024
AP EAMCET
Botany
Biochemistry
Taxonomic keys are based on
AP EAMCET - 2024
AP EAMCET
Botany
Plant Ecology
Identify different types of intra uterine devices among the following
Lippes loop
Vaults
Multiload 375
LNG-20
Diaphragms
AP EAMCET - 2024
AP EAMCET
Zoology
Medical Terminology
The efficiency of a heat engine that works between the temperatures where Celsius-Fahrenheit scales coincide and Kelvin-Fahrenheit scales coincide is (approximately):
AP EAMCET - 2024
AP EAMCET
Physics
Thermodynamics
The sum of the order and degree of the differential equation:
\[ x \left( \frac{d^2 y}{dx^2} \right)^{1/2} = \left( 1 + \frac{dy}{dx} \right)^{4/3} \] is:
AP EAMCET - 2024
AP EAMCET
Mathematics
Differential equations
If a running track of 500 ft. is to be laid out enclosing a playground, the shape of which is a rectangle with a semicircle at each end, then the length of the rectangular portion such that the area of the rectangular portion is maximum is (in feet).
AP EAMCET - 2024
AP EAMCET
Mathematics
Geometry
If \( f(0) = 0 \), \( f'(0) = 3 \), then the derivative of \( y = f(f(f(f(f(x))))) \) at \( x = 0 \) is:
AP EAMCET - 2024
AP EAMCET
Mathematics
Differentiation
If \( y = \sqrt{\sin x + \sqrt{\sin x + \sqrt{\sin x + \cdots \infty}}} \), then the value of \( \frac{d^2y}{dx^2} \) at \( (\pi,1) \) is:
AP EAMCET - 2024
AP EAMCET
Mathematics
Differentiation
The function \( f(x) = |x - 24| \) is:
AP EAMCET - 2024
AP EAMCET
Mathematics
Domain of a Function
If \( f(x) = \left(\frac{1+x}{1-x}\right)^{\frac{1}{x}} \) is continuous at \( x = 0 \), then \( f(0) \) is:
AP EAMCET - 2024
AP EAMCET
Mathematics
Limit and Continuity
Let \( f(x) \) be defined as:
\[ f(x) = \begin{cases} 0, & x = 0 \\ 2 - x, & 0 < x < 1 \\ 2, & x = 1 \\ 1 - x, & 1 < x < 2 \\ -\frac{3}{2}, & x \geq 2 \end{cases} \] Then which of the following is true?
AP EAMCET - 2024
AP EAMCET
Mathematics
Limit and Continuity
If \( e_1 \) and \( e_2 \) are respectively the eccentricities of the hyperbola \( \frac{x^2}{a^2} - \frac{y^2}{b^2} = 1 \) and its conjugate hyperbola, then the line \( \frac{x}{2e_1} + \frac{y}{2e_2} = 1 \) touches the circle having center at the origin, then its radius is:
AP EAMCET - 2024
AP EAMCET
Mathematics
Hyperbola
If the eccentricity of the hyperbola \( \frac{x^2}{a^2} - \frac{y^2}{b^2} = 1 \) is \( \sec \alpha \), then the area of the triangle formed by the asymptotes of the hyperbola with any of its tangent is:
AP EAMCET - 2024
AP EAMCET
Mathematics
Hyperbola
If the ellipse \(4x^2 + 9y^2 = 36\) is confocal with a hyperbola whose length of the transverse axis is 2, then the points of intersection of the ellipse and hyperbola lie on the circle:
AP EAMCET - 2024
AP EAMCET
Mathematics
Conic sections
If the normal chord drawn at \( (2a,2a\sqrt{2}) \) on the parabola \( y^2 = 4ax \) subtends an angle \( \theta \) at its vertex, then \( \theta \) is:
AP EAMCET - 2024
AP EAMCET
Mathematics
Circles
If \( x - 4 = 0 \) is the radical axis of two orthogonal circles out of which one is \( x^2 + y^2 = 36 \), then the centre of the other circle is:
AP EAMCET - 2024
AP EAMCET
Mathematics
Circles
\( C_1 \) is the circle with centre at \( (0,0) \) and radius 4, \( C_2 \) is a variable circle with centre at \( (\alpha, \beta) \) and radius 5. If the common chord of \( C_1 \) and \( C_2 \) has slope \( \frac{3}{4} \) and of maximum length, then one of the possible values of \( \alpha + \beta \) is:
AP EAMCET - 2024
AP EAMCET
Mathematics
Circles
If A and B are the centres of similitude with respect to the circles \( x^2 + y^2 - 14x + 6y + 33 = 0 \) and \( x^2 + y^2 + 30x - 2y + 1 = 0 \), then midpoint of \( AB \) is:
AP EAMCET - 2024
AP EAMCET
Mathematics
Circles
From a point \( (1,0) \) on the circle \( x^2 + y^2 - 2x + 2y + 1 = 0 \), if chords are drawn to this circle, then locus of the poles of these chords with respect to the circle \( x^2 + y^2 = 4 \) is:
AP EAMCET - 2024
AP EAMCET
Mathematics
Circles
Three numbers are chosen at random from 1 to 20. The probability that their sum is divisible by 3 is:
AP EAMCET - 2024
AP EAMCET
Mathematics
Probability
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