AIEEE 2002 | Circle Question 133 | Mathematics

AIEEE 2002

MCQ (Single Correct Answer)

-1

If the chord y = mx + 1 of the circle $${x^2}\, + \,{y^2} = 1$$ subtends an angle of measure $${45^ \circ }$$ at the major segment of the circle then value of m is

$$2\, \pm \,\sqrt 2 \,\,$$

$$ - \,2\, \pm \,\sqrt 2 \,$$

$$- 1\, \pm \,\sqrt 2 \,\,$$

none of these

AIEEE 2002

MCQ (Single Correct Answer)

-1

The centre of the circle passing through (0, 0) and (1, 0) and touching the circle $${x^2}\, + \,{y^2} = 9$$ is

$$\left( {{1 \over 2},\,{1 \over 2}} \right)$$

$$\left( {{1 \over 2},\, - \,\sqrt 2 } \right)$$

$$\left( {{3 \over 2},\,{1 \over 2}} \right)$$

$$\left( {{1 \over 2},\,{3 \over 2}} \right)$$

AIEEE 2002

MCQ (Single Correct Answer)

-1

The equation of a circle with origin as a center and passing thorough equilateral triangle whose median is of length $$3$$ $$a$$ is

$${x^2}\, + \,{y^2} = 9{a^2}$$

$${x^2}\, + \,{y^2} = 16{a^2}$$

$${x^2}\, + \,{y^2} = 4{a^2}$$

$${x^2}\, + \,{y^2} = {a^2}$$

AIEEE 2002

MCQ (Single Correct Answer)

-1

The centres of a set of circles, each of radius 3, lie on the circle $${x^2}\, + \,{y^2} = 25$$. The locus of any point in the set is

$$4\, \le \,\,{x^2}\, + \,{y^2}\, \le \,\,64$$

$${x^2}\, + \,{y^2}\, \le \,\,25$$

$${x^2}\, + \,{y^2}\, \ge \,\,25$$

$$3\, \le \,\,{x^2}\, + \,{y^2}\, \le \,\,9$$

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