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1
KCET 2017
MCQ (Single Correct Answer)
+1
-0
The point on the curve $y^2=x$ where the tangent makes an angle of $\pi / 4$ with $X$-axis is
A
$(4,2)$
B
$\left(\frac{1}{2}, \frac{1}{4}\right)$
C
$\left(\frac{1}{4}, \frac{1}{2}\right)$
D
$(1,1)$
2
KCET 2017
MCQ (Single Correct Answer)
+1
-0
The rate of change of volume of a sphere with respect to its surface area when the radius is 4 cm is
A
$4 \mathrm{~cm}^3 / \mathrm{cm}^2$
B
$6 \mathrm{~cm}^3 / \mathrm{cm}^2$
C
$2 \mathrm{~cm}^3 / \mathrm{cm}^2$
D
$8 \mathrm{~cm}^3 / \mathrm{cm}^2$
3
KCET 2017
MCQ (Single Correct Answer)
+1
-0
The value of $c$ in mean value theorem for the function $f(x)=x^2$ in $[2,4]$ is
A
3
B
$7 / 2$
C
4
D
2
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Units & Measurement and Dimensions Vector Algebra Motion in a Straight Line Motion in a Plane Laws of Motion Circular Motion Work, Energy and Power Center of Mass and Collision Rotational Motion Gravitation Simple Harmonic Motion Fluid Mechanics Elasticity Waves Heat and Thermodynamics
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Ray Optics Wave Optics
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Organic Chemistry
IUPAC Nomenclatures General Organic Chemistry Isomerism Hydrocarbons Haloalkanes and Haloarenes Alcohol, Phenols and Ethers Aldehyde and Ketone Carboxylic Acids and Its Derivatives Compounds Containing Nitrogen Polymers Biomolecules Chemistry in Everyday Life
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Calculus
Functions Limits, Continuity and Differentiability Differentiation Application of Derivatives Indefinite Integration Definite Integration Area Under The Curves Differential Equations
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Straight Lines and Pair of Straight Lines Circle Parabola Ellipse Hyperbola
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