JEE Main 2019 (Online) 9th January Morning Slot | Differential Equations Question 120 | Mathematics

JEE Main 2019 (Online) 9th January Morning Slot

MCQ (Single Correct Answer)

-1

If y = y(x) is the solution of the differential equation,

x$$dy \over dx$$ + 2y = x², satisfying y(1) = 1, then y($$1\over2$$) is equal to :

$$ {{7} \over {64}}$$

$$ {{49} \over {16}}$$

$$ {{1} \over {4}}$$

$$ {{13} \over {16}}$$

JEE Main 2019 (Online) 9th January Morning Slot

MCQ (Single Correct Answer)

-1

The maximum volume (in cu.m) of the right circular cone having slant height 3 m is :

2$$\sqrt3$$$$\pi $$

3$$\sqrt3$$$$\pi $$

6$$\pi $$

$${4 \over 3}\pi $$

JEE Main 2018 (Online) 16th April Morning Slot

MCQ (Single Correct Answer)

-1

The differential equation representing the family of ellipse having foci eith on the x-axis or on the $$y$$-axis, center at the origin and passing through the point (0, 3) is :

xy y'' + x (y')² $$-$$ y y' = 0

x + y y'' = 0

xy y'+ y² $$-$$ 9 = 0

xy y' $$-$$ y² + 9 = 0

JEE Main 2018 (Offline)

MCQ (Single Correct Answer)

-1

If the curves y² = 6x, 9x² + by² = 16 intersect each other at right angles, then the value of b is :

$${9 \over 2}$$

$${7 \over 2}$$

PREVIOUS NEXT

JEE Main Subjects

Physics

Mechanics

Units & Measurements Vector Algebra Motion Circular Motion Laws of Motion Work Power & Energy Center of Mass and Collision Rotational Motion Properties of Matter Heat and Thermodynamics Simple Harmonic Motion Waves Gravitation

Electricity

Electrostatics Current Electricity Capacitor Magnetics Alternating Current and Electromagnetic Induction

Optics

Ray & Wave Optics

Modern Physics

Atoms and Nuclei Dual Nature of Radiation Semiconductor Communication Systems

Chemistry

Physical Chemistry

Some Basic Concepts of Chemistry Structure of Atom Redox Reactions Gaseous State Equilibrium Solutions Thermodynamics Electrochemistry Chemical Kinetics and Nuclear Chemistry Solid State Surface Chemistry

Inorganic Chemistry

Periodic Table & Periodicity Chemical Bonding & Molecular Structure Isolation of Elements Hydrogen s-Block Elements p-Block Elements d and f Block Elements Coordination Compounds Environmental Chemistry

Organic Chemistry

Basics of Organic Chemistry Hydrocarbons Haloalkanes and Haloarenes Alcohols, Phenols and Ethers Aldehydes, Ketones and Carboxylic Acids Compounds Containing Nitrogen Polymers Biomolecules Chemistry in Everyday Life Practical Organic Chemistry

Mathematics

Algebra

Sets and Relations Quadratic Equation and Inequalities Sequences and Series Mathematical Induction and Binomial Theorem Matrices and Determinants Permutations and Combinations Probability Vector Algebra 3D Geometry Complex Numbers Statistics Mathematical Reasoning

Trigonometry

Trigonometric Functions & Equations Inverse Trigonometric Functions Properties of Triangle

Coordinate Geometry

Straight Lines and Pair of Straight Lines Circle Conic Sections

Calculus

Functions Limits, Continuity and Differentiability Differentiation Application of Derivatives Indefinite Integrals Definite Integrals and Applications of Integrals Differential Equations