School 11,12

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💥 Imp Q for Exam🔥





JEE Mains/Adv Level 1,2


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💥🔥 MCQ for Exam Function (12th) 💥

💥🔥 MCQ for Exam Definite Integral (12th) 💥

💥🔥 MCQ for Exam Determinant (12th) 💥

💥🔥 MCQ for Exam Matrix (12th) 💥

💥🔥 MCQ for Exam Inverse Trigonometry(12th) 💥

💥🔥 MCQ for Exam Arithmetic Progression (11th) 💥

💥🔥 MCQ for Exam Geometric Progression (11th)💥

💥🔥 MCQ for Exam StraightLine (11th)💥

💥🔥 Imp Q for Exam Binomial (11th) 💥

💥🔥 Imp Q for Exam Straight Line (11th) 💥

💥🔥 Imp Q for Exam Permutation (11th) 💥

💥🔥 Imp Q for Exam Combination (11th) 💥

💥🔥 Imp Q for Exam Max/Min (12th) 💥

💥🔥 Imp Q for Exam Determinant (12th) 💥

💥🔥 Imp Q for Exam Inverse Trigonometry (12th) 💥

💥🔥Imp Q for Exam Matrix (12th)💥

Function (Class 12)

ITF (Class 12)

Differentiation(Class 12)

Continuity(Class 12)

Differentiability(Class 12)

Matrix(Class 12)

Determinant(Class 12)

Application of Derivative(Class 12)

Rate of Change of Variable

Maxima/Minima

Increasing/Decreasing

Integration (Class 12)

Integration Part-1

Integration Part-2

Integration Part-3

AP (Class 11)

Measurement and Conversion of Angles(Class 11)

Trigonometric Functions(Class 11)

Straight Line (Class 11)

Circle (Class 11)

Parabola (Class 11)

Permutation (Class 11)

Combination (Class 11)

Binomial (Class 11)

GP (Class 11)

Some Special Series(Class 11)

Complex No(Class 11)

  Function-Extra

  Limit-Extra

  Differentiability-Extra

  FirstPrincipal

  Method of Differentiation-Extra

  AOD-Extra

  AOD-Extra

Binomial

Sequence Series

Theory of Equation

Permutation and Combination

Complex No

Determinant

Matrices

Trigonometric Function and Equations

Properties of Triangles,Heights Distances

Coordinate Basic

Straight Line

Circle

Tangent Normal To Circle

Limit

Function 1

Function 2

Application of Derivative 1

Application of Derivative 2

Units and Measurements

Single Correct Multi Correct Very Short Short Long

Motion in a Straight Line

Single Correct Multi Correct Very Short Short Long

Motion in a Plane

Single Correct Multi Correct Very Short Short Long

Laws of Motion

Single Correct Multi Correct Very Short Short Long

Work, Energy and Power

Single Correct Multi Correct Very Short Short Long

System of Particles and Rotational Motion

Single Correct Multi Correct Very Short Short Long

Gravitation

Single Correct Multi Correct Very Short Short Long

Mechanical Properties of Solids

Single Correct Multi Correct Very Short Short Long

Mechanical Properties of Fluids

Single Correct Multi Correct Very Short Short Long

Thermal Properties of Matter

Thermodynamics

Kinetic Theory

Oscillations

Waves

Electric Charges and Field

Single Correct Multi Correct Very Short Short Long

Electrostatic Potential and Capacitance

Single Correct Multi Correct Very Short Short Long

Current Electricity

Single Correct Multi Correct Very Short Short Long

Moving Charges and Magnetism

Single Correct Multi Correct Very Short Short Long

Magnetism and Matter

Electromagnetic Induction

Alternating Current

Electromagnetic Waves

Ray Optics and Optical Instruments

Wave Optics

Dual Nature of Radiation and Matter

Atoms

Nuclei

Semiconductor Electronics,Material, Devices and Simple Circuit

Electric Charges and Field

Introduction,Electric Charge,Conductors and Insulators Basic Properties of Electric Charge Coulomb's Law Forces Between Multiple Charges Electric Field Electric Field Lines Electric Flux Electric Dipole Dipole in a Uniform External Field Continuous Charge Distribution Electric Dipole Applications of Gauss’s Law

Electrostatic Potential and Capacitance

Introductions Electrostatic Potential Potential Due to a Point Charge Potential Due to an Electric Dipole Potential Due to a System of Charges Equipotential Surfaces Potential Energy of a System of Charges Potential Energy in an External Field Electrostatics of Conductors Dielectrics and Polarization Capacitors and Capacitance The Parallel Plate Capacitor Effect of Dielectric on Capacitance Combination of Capacitors Energy Stored in a Capacitor

Current Electricity

Introduction,Electric Current Electric Currents in Conductors Ohm’s Law Drift of Electrons and the Origin of Resistivity Limitations of Ohm’s Law,Resistivity of Various Materials Temperature Dependence of Resistivity Electrical Energy,Power Cells,EMF,Internal Resistance Cells in Series and in Parallel Kirchhoff’s Rules Wheatstone Bridge

Moving Charges and Magnetism

Introductions Magnetic Force Motion in a Magnetic Field Magnetic Field Due to a Current Element, Biot-Savart Law Magnetic Field on the Axis of a Circular Current Loop Ampere’s Circuital Law The Solenoid Force Between two Parallel Currents, the Ampere Torque on Current Loop, Magnetic Dipole The Moving Coil Galvanometer

Electromagnetic Induction

Alternating Current

Electromagnetic Waves

Ray Optics and Optical Instruments

Wave Optics

Dual Nature of Radiation and Matter

Atoms

Nuclei

Semiconductor Electronics,Material, Devices and Simple Circuit


Sequence Series



1- Sequence Progression





1- AP





3- Properties of AP





4- Arithmetic Mean




 Exercise-1
(For Topic 1,2,3,4)





5- Geometrical Progression





6- GM,Properties of GP




 Exercise-2
(For Topic 5,6)





7- Harmonic Progression,Harmonic Mean





8- Q on HP





9- Relation Between AM GM HM




 Exercise-3
(For Topic 7,8,9)





10- Arithmetic Geometrical Progression





11- Miscellaneous Progression





12- Method of Difference to Find Nth Term





13- Method of Difference to Summation




 Exercise-4
(For Topic 10,11,12,13)




 Solved





 Imp Question




Quadratic Theorem



1- Polynomial Function,Rational Function/Expression





2- Equation and Identity





3- Quadratic Equation





4- Polynomial Equation of Degree N





5- Nature of Roots





6- Equation Formation with Modified Roots





7- Common Root(s) of Quadratic Equations





8- Greatest and Least Value of Quadratic Expressions





9- Range of Quadratic Expression





10- Location oF Roots




 Solved




 Exercise-1
(Remainder and Factor Theorem,Roots of Equation,Nature of Roots,Formation of Quadratic Equation)




 Exercise-2
(Condition for Common Roots,Quadratic Expression and Position of Roots,Inequality,Miscellaneous)





 Imp Question




Binomial Theorem



1- Factorial





2- Binomial Expression,Binomial Theorem





3- Properties of Binomial Coefficient





4- Nth Term of Binomial Expansion





5- Middle Term





6- Application of Binomial Theorem





7- Problems Based on ( I + f )Format





8- Numerically Greatest Term





9- Multinomial Theorem





10- Binomial Theorem for Negative and Fractional Index




 Solved




 Exercise-1
(Binomial Theorem,General, Middle and Greatest Term)




 Exercise-2
(Binomial Coefficients,Applications,Binomial Theorem for Negative/Rational Index,Miscellaneous )





 Imp Question




Complex Number



1- The Complex Number System





2- Real and Imaginary Parts of a Complex Number





3- Geometrical Representation of Complex Number(Z)





4- Conjugate of a Complex Number





5- Triangular Inequality




 Exercise-1
(For Topic 1,2,3,4,5)





6- De Moivre'S Theorem





7- Roots of a Complex Number





8- Nth Root of Unity




 Exercise-2
(For Topic 6,7,8)





9- ComplexNo in Co-ordinate Geometry





10- Rotation Theorem




 Exercise-3
(For Topic 9,10)




 Solved





 Imp Question





Permutation and Combination



1- Fundamental Principle of Counting





2- Permutation





3- Permutation Based on Number/Digits





4- Permutation When Object can be Replaced





5- Permutation When not All Objects are Distinct





6- Dictionary Problems





7- Combinations (Selection)





8- Permutation and Combination with Restriction Problems





9- P and C in Geometry





10- Circular Permutation





11- Division of Items into Groups





12- More Than One Selection From Distinct Items





13- Multinomial Theorem for Selection




 Solved




 Exercise-1
(Fundamental Principles of Counting,Factorial Notation,Permutation,Circular Permutation,Combination-1)




 Exercise-2
(Combination-2,Division of Objects into Groups,Applications of Permutation and Combination,Number of Divisors,Miscellaneous)





 Imp Question




Determinant



1- Determinant





2- Minors and Cofactors





3- Value of Determinant By Expanding Rows,Column





4- Sarrus Rule for 3x3 Order Determinant





5- Properties of Determinants





6- Q on Properties





7- Elementary Row/Column transformation





8- Q on Transformation





9- Multiplication Between Determinants





10- Differentiation of a Determinant





11- Special Determinant




 Solved
Fundamental Properties of Determinant




 Solved
Properties of Determinant(Objective-1)




 Solved
Properties of Determinant(Objective 2)




 Solved
Properties of Determinant(Subjective-1)




 Solved
Properties of Determinant(Subjective-2)




Matrices



1- Introduction





2- Types of Matrices





3- Equality of Two Matrices





4- Addition,Subtraction of Matrices,Multiplication by a Scalar





5- Transpose Matrix A′





6- Multiplication of Two Matrices





7- Trace of Square Matrix transformation





8- Symmetric,Skew Symmetric Matrix





9- Determinant of A Square Matrix,Matrix vs Determinant





10- Adjoint of A Square Matrix





11- Non-Singular Matrix(Inverse Matrices)





12- Properties of A Inverse





13- Elementary Row/Column Transformations




Coordinate Basic



1- Point and Cartesian System





2- Distance Formula and Its Application





3- Polar Coordinate





4- Reflection of Point





5- Transformation of Axis





6- Section Formula





7- Area of Triangle





8- Area of Quadrilateral





9- Area of Quadrilateral





10- Slope of Line





11- Condition of Collinearity





12- Coordinate of Some Particular Points





12- Locus of Point




straight Line



1- Definition,Eq Parallel to Axis,Slope of Line





2- Different Form of Straight Line





3- Conversion of General Eq to Different Form





4- Angle Between Two Lines





5- Position of Point wrt Line





6- Parametric Form





7- Length,Foot of Perpendicular,Image of Point





8- Distance Between Two Lines





9- Concurrency





10- Family of Lines




Circle



1- ;Definition of Circle





2- Equation of Circle





3- Intercepts on Axis





4- Other Equation of Circle





5- Parametric Form





6- Position of Point





7- Position of Line




Tangent Normal To circle



1- Tangent/Pair of Tangent





2- Tangent For Standard Circle





3- Chord of Contact





4- Director Circle





5- Pole and Polar





6- Chord With Given Mid Point





7- Director Circle





8- Normal to Circle





9- Relative Position to Circle





10- Q on Position to Circle




Limit



1- Introduction of Limit





2- Indeterminate Form





3- Solving of ∞/∞ and 0x∞





4- Algebra of Limit





5- Solving Limit using Substitution





6- Standard Limits





7- L Hospital Rule





8- âˆž-∞ Form





9- âˆžx∞ Form





10- âˆž/∞ Form





11- âˆž Power of 1





12- 0 Power of 0,0 Power of ∞





13- Sandwich Theorem




Fun1 Theorem



1- Function Definition





2- Types of Function





3- Modulus





4- Exponent Function





5- Greatest Integer Function





6- Fraction Function





7- Signum Function





8- Graph




Function-2



1- Domain





2- Range





3- Equal Identical Function





4- Types of Function





5- Periodic Function





6- Classification of Function





7- Composite Function





8- Inverse Function





9- Function Equation





10-  Negative and Fractional Index




AOD-1



1- Tangent and Normal





2- Tangent/Normal in Parametric Form





3- Tangent and Normal From External Point





4- Angle Between Curves





5- Approximation





6- Rate of Change





7- Rolle's Theorem





8- Lagrange's Mean Value Theorem




AOD-2



1- Monotonicity





2- Inequality Using Monotonicity





3- Concavity and Convexity of Curve





4- Point of Inflection





5- Stationary Points and Critical Points





6- Local or Relative Maxima/Minima





7- Identifying Extrema





8- Global or Absolute Maxima/Minima





9- Application in Geometrical Problems-1





10- Application in Geometrical Problems-2




Trigonometric Function and Equations



1- Angles





2- Trigonometric Ratios Function





3- Graph of Trigonometric Functions





4- Trigonometric Identities





5- Complementary and Supplementary Angles





6- Trigonometric Ratios of Compound Angles





7- Maximum and Minimum Function,Solutions of Equation





8- Solution of Trigonometric Equation




 Solved




Properties of Triangles,Heights Distances



1- Relation between the Sides and Angles of Triangle





2- Area of Triangles





3- Circumcircle,Incircle,Escribed,Orthocentre





4- Regular Polygon





5- Angle of Elevation,Depression





6- Bearing



 Solved




Function Extra


 Solved
Value Definition of Function




 Solved
Domain Range




 Solved
Algebra of Function




 Solved
Mapping of Function




 Exercise-1



 Exercise-2



 Exercise-3



 Exercise-4



Limit Extra


 Solved
Part-1




 Solved
Part-1(Objective)




 Solved
Part-2




 Solved
Part-2(Objective)




 Exercise-1



 Exercise-2




Differentiability-Extra


 Solved





 Solved
Objective



 Exercise




First Principal


 Solved




MethodOfDifferentiation-Extra


 Solved-1





 Solved-2




 Exercise-1




 Exercise-2




AOD Extra

 Theory


1- Rate of Change of variable,Approximation


2- Approximation and Error


3- Slope of Tangent and Normal, Equation of Tangent, Equation of Normal


4- Angle of Intersection of Two Curves, Length of Tangent, Subtangent, Normal and Subnormal


Application of Cubic Functions
5- Rolle's Theorem, Lagrange's Mean Value Theorem


6- Application of Cubic Functions



InverseTrigonometry

 Theory


1- Topic 1


2- Approximation and Error


3- Slope of Tangent and Normal, Equation of Tangent, Equation of Normal


4- Angle of Intersection of Two Curves, Length of Tangent, Subtangent, Normal and Subnormal


Application of Cubic Functions
5- Rolle's Theorem, Lagrange's Mean Value Theorem


6- Application of Cubic Functions



Function(School)



1- Domain, Codomain and Range





 Solved 1




 Solved 2




 Exercise-1





2- Composition of Functions





 Solved




 Exercise





3- Invertible Function



 Solved 1




 Solved 2





4- Some Results on Invertible Functions




 Exercise




 Final Exercise



InverseTrigonometryFunction
For School



1- Inverse Of a Function





 Solved 1




 Exercise





2- Properties of Inverse Functions





 Solved 1




 Solved 2




 Solved 3



Problems Based on Trigonometric Formulae


 Solved 1




 Solved 2



Some More Examples



 Solved



Problems on Trigonometric Equations



 Solved




 Exercise



Final Exercise



 Exercise



InverseTrigonometryFunction
For School



1- Inverse Of a Function





 Solved 1




 Exercise





2- Properties of Inverse Functions





 Solved 1




 Solved 2




 Solved 3



Problems Based on Trigonometric Formulae


 Solved 1




 Solved 2



Some More Examples



 Solved



Problems on Trigonometric Equations



 Solved




 Exercise



Final Exercise



 Exercise


Rate of Change of Variable



 Theory,Examples




Rate of Change of Variable



 Theory,Examples




Maxima Minima



 Absolute Local Maxima/Minima






 Solved Example






 Second Derivative Test






 Max/Min in Closed Interval




Increasing/Decreasing Function



 Increasing,Strictly Increasing,Decreasing,Strictly Decreasing






 Solved Example




Rate of Change of Variable



 Theory,Examples




Differentiation



 Derivatives of Some Functions





 Derivatives of Exponential and Logarithmic Functions





 Solved Examples





 Derivatives of Inverse Trigonometric Functions





 Solved Examples





 Differentiation by Trigonometrical Transformations-1





 Differentiation by Trigonometrical Transformations-2





 Differentiation of Implicit Function





 Differentiation Using Logarithms-1






 Differentiation Using Logarithms-2






 Derivatives of an Infinite Series






  Derivative of One Function With Respect To Another Function






 Derivatives of Parametric Functions






 Second-Order Derivatives




Integration-1



 Integration as an Inverse Process of Differentiation





 Solved Examples





 Integration by Substitution-1





 Integration by Substitution-2





 Integration Using Trigonometric Identities-1





 Integration Using Trigonometric Identities-2





 Integration by Parts-1





 Integration by Parts-2





 Integration by Parts-Special Case-1






 Integration by Parts-Special Case-2




Integration-2



 Three Special Integrals-1





 Three Special Integrals-2





 Integration of (px+y)/(ax^2+bx+c)





 Integration of 1/(a+bcosx^2) 1/(a+bsinx^2)





 Some More Special Integrals (ax^2+bx+c)/(x^4+x^2+1)





 Three More Special Integrals 1/(a^2-x^2)^1/2 1/(x^2-a^2)^1/2 1/(a^2+x^2)^1/2





  Integrals of 1/(a^2+bx+c)^1/2





 Integrals of (px+q)/(a^2+bx+c)^1/2



Integration-3



 Integration of (a^2-x^2)^1/2 (x^2-a^2)^1/2 (a^2+x^2)^1/2





 Integration of (ax^2+bx+c)^1/2





 Integration of (px+y)(ax^2+bx+c)^1/2





 Integration using Partial Fractions-1





 Integration using Partial Fractions-2





 Integration using Partial Fractions-3



Continuity



 Functions





 Graph of a Function-1





 Graph of a Function-2





 Graphs of Trigonometric Functions





 Continuity-1





 Continuity-2





 Continuous Functions





 Solved Examples



Differentiability



 Differentiability





 Relation between Continuity and Differentiability



Matrix



 How to Describe a Matrix





 Various Types of Matrices





 Operations on Matrices(Addition)





 Solved Examples





 Subtraction Of Matrices,Scalar Matrix





 Solved Examples





 Multiplication of Matrices





 Properties of Matrix Multiplication





 Solved-1





 Solved-2





 Transpose of Matrices





 Solved Examples





 Symmetric and Skew-Symmetric Matrices



Determinant



 Determinant of a Square Matrix





 Minor,Cofactor of





 Value of a Determinant





 Properties of Determinants





 Solved-1(Short Ans Type)





 Solved-2(Long Ans Type)





 Solved-3





 Solved-4





 Expressing A Given Determinant as Sum of Two Determinants





 Some More Problems





 Determinant on Trigonometry





 Equality of Two Determinants





 Equations Of Determinants





 Applications of Determinants



🔥 Imp Q Max/Min (12th)


  ✨Set 1 (14 Q)




ʉϬ Set 2 (12 Q)




ʉϬ Set 3 (12 Q)



🔥 Imp Q Determinant (12th)


  ✨Set 1 (10 Q)




ʉϬ Set 2 (9 Q)



🔥 Imp Q Inverse Trigonometry (12th)


  ✨Set 1 (12 Q)




ʉϬ Set 2 (12 Q)



🔥 Imp Q Matrix (12th)


  ✨Set 1 (10 Q)




ʉϬ Set 2 (11 Q)



🔥 Objective Determinant (12th)


  ✨Set 1



🔥 Objective Matrix (12th)


  ✨Set 1



🔥 Objective Inverse (12th)


  ✨Set 1



🔥 Objective Function(12th)


  ✨Set 1



🔥 Objective Definite(12th)


  ✨Set 1




  ✨Set 2




AP(School)



1- Sequence Series






2- AP,GEneral Term,Properties





 Solved





3- Nth Term From End,Some Result of AP





 Solved




 Exercise





4- Sum of Nth Term of AP





 Solved 1




 Solved 2





5- Some Result on AP





 Exercise




 Exercise
Word Problems





6- Arithmetic Mean





 Solved




 Exercise





6- Properties of AP





 Exercise



Final Exercise



 Exercise




Angles



 Measurement and Conversion of Angles





 Solved




 Exercise




Trigonometric Functions



 Properties Domain Range Period of Sin,Cos,Tan,Sec,Cosec,Cot





 Solved





 Trigonometric Functions of Sum and Difference





 Solved




 Exercise





 2Sin(x)Coy(y),2Cos(x)Sin(y),2Cos(x)Cos(y),2Sin(x)Sin(y)




 Solved





 Sin(2x),Sin(3x),Cos(2x),Cos(3x),tan(2x),tan(3x)




 Solved





 Sin(18),Sin(36),Sin(54),Sin(72),Cos(18),Cos(36),Cos(54),Cos(72)





 Sin(x),Cos(x),Tan(x) in term of Half Angles





Straight Line



 Distance Area Division Formula






 Slope of Line






 Slop of Parallel Lines,Slope of Perpendicular Lines






 Angle Between Two Non-Vertical And Non-Perpendicular Lines





 Various Form of Lines(When Lines are Parapallel to Axis)





 Eq of Line in Point Slope Form





 Eq of Line in Two Point Form






 Eq of Line in Slope Intercept Form






 Eq of Line in Itercept Form






 Eq of Line in Normal Form






 General Eq of Line






 Distance of Point From Line






 Distance Between Two Parallel Lines






 Miscellaneous Example





Circle



 Eq of Circle in Standard Form,When Coordinate of Diameter are Given,When Circle Touches Axis






 Solved Examples






 General Eq of Circle






 Solved Examples




Parabola



 Introduction of Conic Section






 Parabola






 Solved Examples





Permutation



 The Factorial






 Fundamental Principles of Counting






 Permutations






 Word Problems on Permutations






 Permutations of Objects not All Different






 Permutations with Repetitions






 Circular Permutations





Combination



 Combination Basic






 Solved Examples






 Practical Problems on Combination-1






 Word Problems on Permutations-2






 Mixed Problems On Permutation and Combination





Binomial Theorem



 For Non-negative Integers






 Solved Examples-1






 Solved Examples-2






 Solved Examples-3





GP



 Some Examples of GP,General Term






 Solved Examples-1






 Solved Examples-2






 Choose GP having 3,4,5 terms






 Choose GP having 3,4,5 terms






 Sum of n terms






 Word Problems






 Properties of GP






 Geometric Mean






 n Geometric Means Between Two Given Numbers






 Infinite Geometric Series-1






 Infinite Geometric Series-2





Some Special Series



 Sum Of First N Natural Numbers,Sum Of Square of First N Natural Numbers,Sum Of Cube of First N Natural Numbers






 Solved Examples-1





Complex No



 Imaginary No






 Complex no






 Solved-1






 Solved-2






 Some Results on Modulus And Conjugate Of Complex Numbers






 Solved






 Polar Representation Of Complex Numbers






 Solved-1






 Solved-2




🔥 Imp Q Binomial (11th)


  ✨Set 1 (8 Q)




ʉϬ Set 2 (6 Q)



🔥 Imp Q Binomial (11th)


✨Set 1 (9 Q)




ʉϬ Set 2 (9 Q)



🔥 Imp Q Permutation (11th)


  ✨Set 1 (10 Q)




ʉϬ Set 2 (9 Q)



🔥 Imp Q Combination (11th)


  ✨Set 1 (9 Q)




ʉϬ Set 2 (5 Q)



🔥 MCQ Q AP (11th)


  ✨Set 1



🔥 MCQ Q GP (11th)


  ✨Set 1



🔥 MCQ StraightLine (11th)


  ✨Set 1






    

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