1
IIT-JEE 2001
Subjective
+5
-0
Let $$C_1$$ and $$C_2$$ be two circles with $$C_2$$ lying inside $$C_1$$. A circle C lying inside $$C_1$$ touches $$C_1$$ internally and $$C_2$$ externally. Identify the locus of the centre of C.
2
IIT-JEE 2001
Subjective
+5
-0
Let $$\,2{x^2}\, + \,{y^2} - \,3xy = 0$$ be the equation of a pair of tangents drawn from the origin O to a circle of radius 3 with centre in the first quadrant. If A is one of the points of contact, find the length of OA.
3
IIT-JEE 1999
Subjective
+10
-0
Let $${T_1}$$, $${T_2}$$ be two tangents drawn from (- 2, 0) onto the circle $$C:{x^2}\,\, + \,{y^2} = 1$$. Determine the circles touching C and having $${T_1}$$, $${T_2}$$ as their pair of tangents. Further, find the equations of all possible common tangents to these circles, when taken two at a time.
4
IIT-JEE 1998
Subjective
+8
-0
$$C_1$$ and $$C_2$$ are two concentric circles, the radius of $$C_2$$ being twice that of $$C_1$$. From a point P on $$C_2$$, tangents PA and PB are drawn to $$C_1$$. Prove that the centroid of the triangle PAB lies on $$C_1$$.
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 Chemical Equilibrium Ionic 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 3D Geometry Statistics Complex Numbers
Trigonometry
Coordinate Geometry
Calculus