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KCET 2025
MCQ (Single Correct Answer)
+1
-0
General solution of the differential equation $\frac{d y}{d x}+y \tan x=\sec x$ is
A
$y \sec x=\tan x+c$
B
$y \tan x=\sec x+c$
C
$\operatorname{cosec} x=y \tan x+c$
D
$x \sec x=\tan y+c$
2
KCET 2025
MCQ (Single Correct Answer)
+1
-0
If ' $a$ ' and ' $b$ ' are the order and degree respectively of the differentiable equation. $\left(\frac{d^2 y}{d x^2}\right)^2+\left(\frac{d y}{d x}\right)^3+x^4=0$, then $a-b=$ $\qquad$
A
1
B
2
C
-1
D
0
3
KCET 2024
MCQ (Single Correct Answer)
+1
-0

The solution of $e^{d y / d x}=x+1, y(0)=3$ is

A
$y-2=x \log x-x$
B
$y-x-3=x \log x$
C
$y-x-3=(x+1) \log (x+1)$
D
$y+x-3=(x+1) \log (x+1)$
4
KCET 2024
MCQ (Single Correct Answer)
+1
-0

The family of curves whose $x$ and $y$ intercepts of a tangent at any point are respectively double the $x$ and $y$ coordinates of that point is

A
$x y=C$
B
$x^2+y^2=C$
C
$x^2-y^2=C$
D
$\frac{y}{x}=C$
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KCET Subjects
Physics
Mechanics
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
Optics
Ray Optics Wave Optics
Electromagnetism
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Modern Physics
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Physical Chemistry
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Periodic Table and Periodicity Chemical Bonding and Molecular Structure Metallurgy Hydrogen and It's Compounds s-Block Elements p-Block Elements d and f Block Elements Coordination Compounds Salt Analysis Environmental Chemistry
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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 Practical Organic Chemistry
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Calculus
Functions Limits, Continuity and Differentiability Differentiation Application of Derivatives Indefinite Integration Definite Integration Area Under The Curves Differential Equations
Coordinate Geometry
Straight Lines and Pair of Straight Lines Circle Parabola Ellipse Hyperbola
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