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1
IIT-JEE 1999
MCQ (Single Correct Answer)
If $$x$$ $$=$$ $$9$$ is the chord of contact of the hyperbola $${x^2} - {y^2} = 9,$$ then the equation of the vcorresponding pair of tangents is
A
$$9{x^2} - 8{y^2} + 18x - 9 = 0$$
B
$$9{x^2} - 8{y^2} - 18x + 9 = 0$$
C
$$9{x^2} - 8{y^2} - 18x - 9 = 0$$
D
$$9{x^2} - 8{y^2} + 18x + 9 = 0$$
CHECK ANSWER
2
IIT-JEE 1999
MCQ (Single Correct Answer)
The curve described parametrically by $$x = {t^2} + t + 1,$$ $$y = {t^2} - t + 1 $$ represents
A
a pair of straight lines
B
an ellipse
C
a parabola
D
a hyperbola
CHECK ANSWER
3
IIT-JEE 1999
MCQ (Single Correct Answer)
Let $$P$$ $$\left( {a\,\sec \,\theta ,\,\,b\,\tan \theta } \right)$$ and $$Q$$ $$\left( {a\,\sec \,\,\phi ,\,\,b\,\tan \,\phi } \right)$$, where $$\theta + \phi = \pi /2,$$, be two points on the hyperbola $${{{x^2}} \over {{a^2}}} - {{{y^2}} \over {{b^2}}} = 1$$.
If $$(h, k)$$ is the point of intersection of the normals at $$P$$ and $$Q$$, then $$k$$ is equal to
A
$${{{a^2} + {b^2}} \over a}$$
B
$$ - \left( {{{{a^2} + {b^2}} \over a}} \right)$$
C
$${{{a^2} + {b^2}} \over b}$$
D
$$ - \left( {{{{a^2} + {b^2}} \over b}} \right)$$
CHECK ANSWER
4
IIT-JEE 1998
MCQ (Single Correct Answer)
If $$P=(x, y)$$, $${F_1} = \left( {3,0} \right),\,{F_2} = \left( { - 3,0} \right)$$ and $$16{x^2} + 25{y^2} = 400,$$ then $$P{F_1} + P{F_2}$$ equals
A
$$8$$
B
$$6$$
C
$$10$$
D
$$12$$
CHECK ANSWER
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Questions Asked from Conic Sections
On those following papers in MCQ (Single Correct Answer)
Number in Brackets after Paper Indicates No. of Questions
JEE Advanced 2020 Paper 1 Offline (1)
JEE Advanced 2019 Paper 2 Offline (2)
JEE Advanced 2018 Paper 2 Offline (1)
JEE Advanced 2018 Paper 1 Offline (2)
JEE Advanced 2017 Paper 1 Offline (3)
JEE Advanced 2016 Paper 2 Offline (2)
JEE Advanced 2014 Paper 2 Offline (3)
JEE Advanced 2013 Paper 2 Offline (3)
IIT-JEE 2012 Paper 1 Offline (1)
IIT-JEE 2011 Paper 2 Offline (2)
IIT-JEE 2010 Paper 1 Offline (2)
IIT-JEE 2010 Paper 2 Offline (3)
IIT-JEE 2009 (3)
IIT-JEE 2008 (2)
IIT-JEE 2007 (5)
IIT-JEE 2006 (2)
IIT-JEE 2005 Screening (2)
IIT-JEE 2004 Screening (3)
IIT-JEE 2003 Screening (3)
IIT-JEE 2002 Screening (3)
IIT-JEE 2001 Screening (2)
IIT-JEE 2000 Screening (2)
IIT-JEE 1999 (3)
IIT-JEE 1998 (2)
IIT-JEE 1995 Screening (2)
IIT-JEE 1994 (2)
IIT-JEE 1981 (2)
Chapters Map
Algebra
Complex Numbers
Quadratic Equation and Inequalities
Permutations and Combinations
Mathematical Induction and Binomial Theorem
Sequences and Series
Matrices and Determinants
Vector Algebra and 3D Geometry
Probability
Trigonometry
Trigonometric Functions & Equations
Properties of Triangle
Inverse Trigonometric Functions
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
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