1
WB JEE 2020
MCQ (Single Correct Answer)
+2
-0.5
Consider the curve $${{{x^2}} \over {{a^2}}} + {{{y^2}} \over {{b^2}}} = 1$$. The portion of the tangent at any point of the curve intercepted between the point of contact and the directrix subtends at the corresponding focus an angle of
2
WB JEE 2019
MCQ (Single Correct Answer)
+1
-0.25
Let P(4, 3) be a point on the hyperbola $${{{x^2}} \over {{a^2}}} - {{{y^2}} \over {{b^2}}} = 1$$. If the normal at P intersects the X-axis at (16, 0), then the eccentricity of the hyperbola is
3
WB JEE 2019
MCQ (Single Correct Answer)
+1
-0.25
For the hyperbola $${{{x^2}} \over {{{\cos }^2}\alpha }} - {{{y^2}} \over {{{\sin }^2}\alpha }} = 1$$, which of the following remains fixed when $$\alpha$$ varies?
4
WB JEE 2019
MCQ (Single Correct Answer)
+1
-0.25
S and T are the foci of an ellipse and B is the end point of the minor axis. If STB is equilateral triangle, the eccentricity of the ellipse is
Questions Asked from Ellipse and Hyperbola (MCQ (Single Correct Answer))
Number in Brackets after Paper Indicates No. of Questions
WB JEE Subjects
Physics
Mechanics
Units & Measurements Vector Algebra Motion Laws of Motion Work Power & Energy Center of Mass Rotational Motion Properties of Matter Heat and Thermodynamics Simple Harmonic Motion Waves Gravitation
Electricity
Optics
Modern Physics
Chemistry
Physical Chemistry
Some Basic Concepts of Chemistry Atomic Structure Redox Reaction Gaseous State Chemical Equilibrium Liquid Solution Ionic Equilibrium Thermodynamics Chemical Kinetics Radioactivity and Nuclear Chemistry Electrochemistry Solid State Surface Chemistry
Inorganic Chemistry
Periodic Table Chemical Bonding Metallurgy Hydrogen and It's Compounds Some s Block Elements Some P Block Elements d and f Block Elements Coordination Compounds
Organic Chemistry
Mathematics
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
Trigonometry
Coordinate Geometry
Calculus