1
IIT-JEE 1998
Subjective
+8
-0
A curve $$C$$ has the property that if the tangent drawn at any point $$P$$ on $$C$$ meets the co-ordinate axes at $$A$$ and $$B$$, then $$P$$ is the mid-point of $$AB$$. The curve passes through the point $$(1, 1)$$. Determine the equation of the curve.
2
IIT-JEE 1997
Subjective
+5
-0
Let $$a+b=4$$, where $$a<2,$$ and let $$g(x)$$ be a differentiable function.
If $${{dg} \over {dx}} > 0$$ for all $$x$$, prove that $$\int_0^a {g\left( x \right)dx + \int_0^b {g\left( x \right)dx} } $$
increases as $$(b-a)$$ increases.
3
IIT-JEE 1996
Subjective
+3
-0
Let $$f\left( x \right) = \left\{ {\matrix{
{x{e^{ax}},\,\,\,\,\,\,\,x \le 0} \cr
{x + a{x^2} - {x^3},\,x > 0} \cr
} } \right.$$
Where a is a positive constant. Find the interval in which $$f'(x)$$ is increasing.
4
IIT-JEE 1996
Subjective
+5
-0
A curve $$y=f(x)$$ passes through the point $$P(1, 1)$$. The normal to the curve at $$P$$ is $$a(y-1)+(x-1)=0$$. If the slope of the tangent at any point on the curve is proportional to the ordinate of the point, determine the equation of the curve. Also obtain the area bounded by the $$y$$-axis, the curve and the normal to the curve at $$P$$.
Breakthrough to JEE Advanced Excellence
Chapter-wise, Topic-wise, Paper-wise Previous Year Questions
Full Mock Tests
Personalized Mock Tests
Very Detailed Test Analysis
Save Important Questions
Set and Achieve Daily Goals
Plans start at ₹25 per month, and no payment information is
required to try our
trial.
Questions Asked from Application of Derivatives (Subjective)
Number in Brackets after Paper Indicates No. of Questions
IIT-JEE 2006 (1)
IIT-JEE 2005 (2)
IIT-JEE 2004 (2)
IIT-JEE 2003 (4)
IIT-JEE 2001 (1)
IIT-JEE 2000 (1)
IIT-JEE 1998 (2)
IIT-JEE 1997 (1)
IIT-JEE 1996 (3)
IIT-JEE 1995 (1)
IIT-JEE 1994 (2)
IIT-JEE 1993 (2)
IIT-JEE 1992 (3)
IIT-JEE 1991 (1)
IIT-JEE 1990 (2)
IIT-JEE 1989 (1)
IIT-JEE 1988 (1)
IIT-JEE 1987 (1)
IIT-JEE 1985 (2)
IIT-JEE 1983 (2)
IIT-JEE 1982 (2)
IIT-JEE 1981 (3)
IIT-JEE 1979 (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