WB JEE 2010 | Sequence and Series Question 17 | Mathematics

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WB JEE 2010

MCQ (Single Correct Answer)

-0.25

If angles A, B and C are in A.P., then $${{a + c} \over b}$$ is equal to

$$2\sin \left( {{{A - C} \over 2}} \right)$$

$$2\cos \left( {{{A - C} \over 2}} \right)$$

$$\cos \left( {{{A - C} \over 2}} \right)$$

$$\sin \left( {{{A - C} \over 2}} \right)$$

WB JEE 2010

MCQ (Single Correct Answer)

-0.25

The value of $${2 \over {3!}} + {4 \over {5!}} + {6 \over {7!}} + $$ ............ is

e^1/2

e^$$-$$1

e^1/3

WB JEE 2023

MCQ (Single Correct Answer)

-0.25

If the n terms $${a_1},{a_2},\,......,\,{a_n}$$ are in A.P. with increment r, then the difference between the mean of their squares & the square of their mean is

$${{{r^2}\{ {{(n - 1)}^2} - 1\} } \over {12}}$$

$${{{r^2}} \over {12}}$$

$${{{r^2}({n^2} - 1)} \over {12}}$$

$${{{n^2} - 1} \over {12}}$$

WB JEE 2023

MCQ (Single Correct Answer)

-0.25

If $$1,{\log _9}({3^{1 - x}} + 2),{\log _3}({4.3^x} - 1)$$ are in A.P., then x equals

$${\log _3}4$$

$$1 - {\log _3}4$$

$$1 - {\log _4}3$$

$${\log _4}3$$

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WB JEE Subjects

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

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

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

Properties of Triangle Inverse Trigonometric Functions Trigonometric Functions & Equations

Coordinate Geometry

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

Calculus

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