ExamSIDE
Questions
ExamSIDE.Com
Mathematics
Trigonometry
Trigonometric Functions & Equations
Properties of Triangle
Inverse Trigonometric Functions
Algebra
Logarithms
Sequence and Series
Quadratic Equations
Complex Numbers
Permutations and Combinations
Mathematical Induction and Binomial Theorem
Matrices and Determinants
Vector Algebra
Three Dimensional Geometry
Probability
Statistics
Sets and Relations
Calculus
Functions
Definite Integration
Application of Integration
Limits, Continuity and Differentiability
Differentiation
Application of Derivatives
Indefinite Integrals
Differential Equations
Coordinate Geometry
Straight Lines and Pair of Straight Lines
Circle
Parabola
Ellipse and Hyperbola
Joint Entrance Examination
JEE Main
Chemistry
Physics
Mathematics
JEE Advanced
Physics
Chemistry
Mathematics
WB JEE
Physics
Chemistry
Mathematics
Graduate Aptitude Test in Engineering
GATE CSE
Discrete Mathematics
Programming Languages
Theory of Computation
Operating Systems
Digital Logic
Computer Organization
Database Management System
Data Structures
Computer Networks
Algorithms
Compiler Design
Software Engineering
Web Technologies
General Aptitude
GATE ECE
Signals and Systems
Network Theory
Control Systems
Digital Circuits
General Aptitude
Electronic Devices and VLSI
Analog Circuits
Engineering Mathematics
Microprocessors
Communications
Electromagnetics
GATE EE
Electromagnetic Fields
Signals and Systems
Engineering Mathematics
General Aptitude
Power Electronics
Power System Analysis
Analog Electronics
Control Systems
Digital Electronics
Electrical Machines
Electric Circuits
Electrical and Electronics Measurement
GATE ME
Engineering Mechanics
Strength of Materials
Theory of Machines
Engineering Mathematics
Machine Design
Fluid Mechanics
Turbo Machinery
Heat Transfer
Thermodynamics
Production Engineering
Industrial Engineering
General Aptitude
GATE CE
Construction Material and Management
Geomatics Engineering Or Surveying
Engineering Mechanics
Hydrology
Transportation Engineering
Strength of Materials Or Solid Mechanics
Reinforced Cement Concrete
Steel Structures
Irrigation
Environmental Engineering
Engineering Mathematics
Structural Analysis
Geotechnical Engineering
Fluid Mechanics and Hydraulic Machines
General Aptitude
GATE PI
Engineering Mechanics
Strength of Materials
Theory of Machines
Engineering Mathematics
Machine Design
Fluid Mechanics
Heat Transfer
Thermodynamics
Casting
Joining of Materials
Metal Forming
Machine Tools and Machining
Metrology
Industrial Engineering
GATE IN
Engineering Mathematics
Medical
NEET
Biology
Chemistry
Physics
NEW
New Website Launch
Experience the best way to solve previous year questions with
mock tests
(very detailed analysis),
bookmark your favourite questions
,
practice
etc...
VISIT NOW
WB JEE
Parabola
Mathematics
Previous Years Questions
START HERE
MCQ (Single Correct Answer)
More
If P1P2 and P3P4 are two focal chords of the parabola y2 = 4ax then the chords P1P3 and P2P4 intersect on the...
WB JEE 2022
GO TO QUESTION
Let the tangent and normal at any point P(at2, 2at), (a > 0), on the parabola y2 = 4ax meet the axis of the parabola at ...
WB JEE 2022
GO TO QUESTION
From the point ($$-$$1, $$-$$6), two tangents are drawn to y2 = 4x. Then the angle between the two tangents is...
WB JEE 2022
GO TO QUESTION
AB is a chord of a parabola y2 = 4ax, (a > 0) with vertex A. BC is drawn perpendicular to AB meeting the axis at C. The ...
WB JEE 2022
GO TO QUESTION
Let P be a point on (2, 0) and Q be a variable point on (y $$-$$ 6)2 = 2(x $$-$$ 4). Then the locus of mid-point of PQ i...
WB JEE 2022
GO TO QUESTION
A line passes through the point $$( - 1,1)$$ and makes an angle $${\sin ^{ - 1}}\left( {{3 \over 5}} \right)$$ in the po...
WB JEE 2022
GO TO QUESTION
The point of contact of the tangent to the parabola y2 = 9x which passes through the point (4, 10) and makes an angle $$...
WB JEE 2022
GO TO QUESTION
From a point (d, 0) three normal are drawn to the parabola y2 = x, then
WB JEE 2021
GO TO QUESTION
The locus of the vertices of the family of parabolas $$6y = 2{a^3}{x^2} + 3{a^2}x - 12a$$ is
WB JEE 2021
GO TO QUESTION
If the line y = x is a tangent to the parabola y = ax2 + bx + c at the point (1, 1) and the curve passes through ($$ - $...
WB JEE 2020
GO TO QUESTION
The equation of the latusrectum of a parabola is x + y = 8 and the equation of the tangent at the vertex is x + y = 12. ...
WB JEE 2020
GO TO QUESTION
The length of the chord of the parabola y2 = 4ax(a > 0) which passes through the vertex and makes an acute angle $$\a...
WB JEE 2020
GO TO QUESTION
The locus of the middle points of all chords of the parabola y2 = 4ax passing through the vertex is
WB JEE 2011
GO TO QUESTION
The coordinates of a moving point P are (2t2 + 4, 4t + 6). Then its locus will be a/an
WB JEE 2011
GO TO QUESTION
The vertex of the parabola y2 + 6x $$-$$ 2y + 13 = 0 is
WB JEE 2011
GO TO QUESTION
If t1 and t2 be the parameters of the end points of a focal chord for the parabola y2 = 4ax, then which one is true?...
WB JEE 2010
GO TO QUESTION
The coordinates of the focus of the parabola described parametrically by x = 5t2 + 2, y = 10t + 4 are
WB JEE 2009
GO TO QUESTION
The latus rectum of an ellipse is equal to one-half of its minor axis. The eccentricity of the ellipse is
WB JEE 2008
GO TO QUESTION
The equation of the ellipse having vertices at ($$\pm$$ 5, 0) and foci ($$\pm$$ 4, 0) is
WB JEE 2008
GO TO QUESTION
If t is a parameter, then $$x = a\left( {t + {1 \over t}} \right)$$, $$y = b\left( {t - {1 \over t}} \right)$$ represent...
WB JEE 2008
GO TO QUESTION
If 2y = x and 3y + 4x = 0 are the equations of a pair of conjugate diameters of an ellipse, then the eccentricity of the...
WB JEE 2008
GO TO QUESTION
The length of the common chord of the parabolas y2 = x and x2 = y is
WB JEE 2008
GO TO QUESTION
If P(at2, 2at) be one end of a focal chord of the parabola y2 = 4ax, then the length of the chord is...
WB JEE 2008
GO TO QUESTION
The vertex of the parabola x2 + 2y = 8x $$-$$ 7 is
WB JEE 2008
GO TO QUESTION
The two parabolas x2 = 4y and y2 = 4x meet in two distinct points. One of these is the origin and the other is...
WB JEE 2008
GO TO QUESTION
Subjective
More
Find the angle subtended by the double ordinate of length 2a of the parabola y2 = ax at its vertex.
WB JEE 2009
GO TO QUESTION
Prove that for all values of m, except zero the st. line $$y = mx + {a \over m}$$ touches the parabola y2 = 4ax...
WB JEE 2008
GO TO QUESTION
If the tangent to the parabola y = x(2 $$-$$ x) at the point (1, 1) intersects the parabola at P. Find the co-ordinate o...
WB JEE 2008
GO TO QUESTION
Joint Entrance Examination
JEE Main
JEE Advanced
WB JEE
Graduate Aptitude Test in Engineering
GATE CSE
GATE ECE
GATE EE
GATE ME
GATE CE
GATE PI
GATE IN
Medical
NEET
CBSE
Class 12