1
IIT-JEE 1996
Subjective
+5
-0
A circle passes through three points A, B and C with the line segment AC as its diameter. A line passing through A angles DAB and CAB are $$\,\alpha \,\,and\,\,\beta $$ respectively and the distance between the point A and the mid point of the line segment DC is d, prove that the area of the circle is $$${{\pi \,{d^2}\,\,{{\cos }^2}\,\,\alpha } \over {{{\cos }^2}\,\alpha \, + \,{{\cos }^2}\,\beta \, + \,\,2\,\cos \,\,\alpha \,\,\cos \,\beta \,\cos \,\,(\beta - \alpha )\,}}$$$
2
IIT-JEE 1996
Subjective
+5
-0
Find the intervals of value of a for which the line y + x = 0 bisects two chords drawn from a point $$\left( {{{1\, + \,\sqrt 2 a} \over 2},\,{{1\, - \,\sqrt 2 a} \over 2}} \right)$$ to the circle $$\,\,2{x^2}\, + \,2{y^2} - (\,1\, + \sqrt 2 a)\,x - (1 - \sqrt 2 a)\,y = 0$$.
3
IIT-JEE 1993
Subjective
+5
-0
Find the coordinates of the point at which the circles $${x^2}\, + \,{y^2} - \,4x - \,2y = - 4\,\,and\,\,{x^2}\, + \,{y^2} - \,12x - \,8y = - 36$$ touch each other. Also find equations common tangests touching the circles in the distinct points.
4
IIT-JEE 1993
Subjective
+5
-0
Consider a family of circles passing through two fixed points A (3, 7) and B (6, 5). Show that the chords on which the circle $${x^2}\, + \,{y^2} - \,4x - \,6y - 3 = 0$$ cuts the members of the family are concurrent at a point. Find the coordinate of this point.
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 & MeasurementsMotionLaws of MotionWork Power & EnergyImpulse & MomentumRotational MotionProperties of MatterHeat and ThermodynamicsSimple Harmonic MotionWavesGravitation
Electricity
ElectrostaticsCurrent ElectricityCapacitorMagnetismElectromagnetic InductionAlternating CurrentElectromagnetic Waves
Optics
Modern Physics
Chemistry
Physical Chemistry
Some Basic Concepts of ChemistryStructure of AtomRedox ReactionsGaseous StateChemical EquilibriumIonic EquilibriumSolutionsThermodynamicsChemical Kinetics and Nuclear ChemistryElectrochemistrySolid StateSurface Chemistry
Inorganic Chemistry
Periodic Table & PeriodicityChemical Bonding & Molecular StructureIsolation of ElementsHydrogens-Block Elementsp-Block Elementsd and f Block ElementsCoordination CompoundsSalt Analysis
Organic Chemistry
Mathematics
Algebra
Quadratic Equation and InequalitiesSequences and SeriesMathematical Induction and Binomial TheoremMatrices and DeterminantsPermutations and CombinationsProbabilityVector Algebra3D GeometryStatisticsComplex Numbers
Trigonometry
Coordinate Geometry
Calculus