1

IIT-JEE 1983

Subjective

+5

-0

Through a fixed point (h, k) secants are drawn to the circle $$\,{x^2}\, + \,{y^2} = \,{r^2}$$. Show that the locus of the mid-points of the secants intercepted by the circle is $$\,{x^2}\, + \,{y^2} $$ = $$hx + ky$$.

2

IIT-JEE 1981

Subjective

+4

-0

Let A be the centre of the circle $${x^2}\, + \,{y^2}\, - \,2x\,\, - 4y\, - 20 = 0\,$$. Suppose that the tangents at the points B (1, 7) and D (4. - 2) on the circle meet at the point C. Find the area of the quadrilateral ABCD.

3

IIT-JEE 1981

Subjective

+3

-0

Find the equations of the circle passing through (- 4, 3) and touching the lines x + y = 2 and x - y = 2.

4

IIT-JEE 1978

Subjective

+2

-0

Find the equation of the circle whose radius is 5 and which touches the circle $${x^2}\, + \,{y^2}\, - \,2x\,\, - 4y\, - 20 = 0\,$$ at the point (5, 5).

Questions Asked from Circle (Subjective)

Number in Brackets after Paper Indicates No. of Questions

IIT-JEE 2005 (1)
IIT-JEE 2004 (1)
IIT-JEE 2003 (1)
IIT-JEE 2001 (2)
IIT-JEE 1999 (1)
IIT-JEE 1998 (1)
IIT-JEE 1997 (1)
IIT-JEE 1996 (2)
IIT-JEE 1993 (2)
IIT-JEE 1992 (1)
IIT-JEE 1991 (1)
IIT-JEE 1990 (1)
IIT-JEE 1989 (1)
IIT-JEE 1987 (2)
IIT-JEE 1986 (1)
IIT-JEE 1984 (1)
IIT-JEE 1983 (1)
IIT-JEE 1981 (2)
IIT-JEE 1978 (1)

JEE Advanced Subjects

Physics

Mechanics

Units & Measurements Motion Laws of Motion Work Power & Energy Impulse & Momentum Rotational Motion Properties of Matter Heat and Thermodynamics Simple Harmonic Motion Waves Gravitation

Electricity

Electrostatics Current Electricity Capacitor Magnetism Electromagnetic Induction Alternating Current Electromagnetic Waves

Optics

Modern Physics

Chemistry

Physical Chemistry

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

Organic Chemistry

Mathematics

Algebra

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

Trigonometry

Coordinate Geometry

Calculus