WB JEE 2008 | Parabola Question 2 | Mathematics

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WB JEE 2008

MCQ (Single Correct Answer)

-0.25

The vertex of the parabola x² + 2y = 8x $$-$$ 7 is

$$\left( {{9 \over 2},0} \right)$$

$$\left( {4,{9 \over 2}} \right)$$

$$\left( {2,{9 \over 2}} \right)$$

$$\left( {4,{7 \over 2}} \right)$$

WB JEE 2008

MCQ (Single Correct Answer)

-0.25

If P(at², 2at) be one end of a focal chord of the parabola y² = 4ax, then the length of the chord is

$$a{\left( {t - {1 \over t}} \right)^2}$$

$$a\left( {t - {1 \over t}} \right)$$

$$a\left( {t + {1 \over t}} \right)$$

$$a{\left( {t + {1 \over t}} \right)^2}$$

WB JEE 2008

MCQ (Single Correct Answer)

-0.25

The length of the common chord of the parabolas y² = x and x² = y is

$$2\sqrt 2 $$

$$\sqrt 2 $$

$${1 \over {\sqrt 2 }}$$

WB JEE 2008

MCQ (Single Correct Answer)

-0.25

If 2y = x and 3y + 4x = 0 are the equations of a pair of conjugate diameters of an ellipse, then the eccentricity of the ellipse is

$$\sqrt {{2 \over 3}} $$

$$\sqrt {{2 \over 5}} $$

$$\sqrt {{1 \over 3}} $$

$$\sqrt {{1 \over 2}} $$

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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

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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

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IUPAC Nomenclatures General Organic Chemistry Isomerism Hydrocarbons Halogen Derivatives Alcohol and Ether Aldehyde and Ketone Aromatic Chemistry Carbonyl Compounds Carboxylic Acids and Amines Polymers Biomolecules Practical Chemistry Chemistry In Everyday Life

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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

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Properties of Triangle Inverse Trigonometric Functions Trigonometric Functions & Equations

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Straight Lines and Pair of Straight Lines Circle Parabola Ellipse and Hyperbola

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Functions Limits, Continuity and Differentiability Differentiation Application of Derivatives Indefinite Integrals Definite Integration Application of Integration Differential Equations