MATHEMATICS · CBSE Class 11 English medium
5 chapters · 98 topics
Chapter 1: Chapter 1
- prove that (
- , prove that a + b = (
- Summary
- different ways. – MAXWELL v
- LINEAR INEQUALITIES
- ® Two real numbers or two algebraic expressions related by the symbols <, >, ≤
- ® The values of x , which make an inequality a true statement, are called solutions
- other guidance we can have – DARWIN v
- PERMUTATIONS AND COMBINATIONS
- A Note If the repetition of the letters was allowed, how many words can be formed?
Chapter 2: Chapter 2
- Remarks . From above (
- ® Fundamental principle of counting If an event can occur in m different
- ® The number of combinations of n different things taken r at a time, denoted by
- absolute proofs. – C.P. STEINMETZ v
- BINOMIAL THEOREM
- Prove that ∑
- Find the value of (
- ® The coefficients of the expansions are arranged in an array. This array is
- v Natural numbers are the product of human spirit. – DEDEKIND v
Chapter 3: Chapter 3
- ® By a sequence , we mean an arrangement of number in definite order according
- ® An arithmetic progression (A.P.) is a sequence in which terms increase or
- ® The arithmetic mean A of any two numbers a and b is given by
- ® The geometric mean (G.M.) of any two positive numbers a and b is given by
- of their own spirit. – H. FREUDENTHAL v
- STRAIGHT LINES
- and point A (
- Passing through (
- and (
- ® Equation of the vertical line having distance b from the y -axis is either
- ® The equation of the line having normal distance from origin p and angle between
- transformed. – BERTRAND RUSSELL v
- CONIC SECTIONS
- A Note If the fixed point lies on the fixed
- A Note The standard equations of parabolas have focus on one of the coordinate
- A Note The constant which is the sum of
- A Note The standard equations of ellipses have centre at the origin and the
- A Note The standard equations of hyperbolas have transverse and conjugate
- ∆ PRA, sin θ =
- ® Latus rectum of a parabola is a line segment perpendicular to the axis of the
- ® The eccentricity of a hyperbola is the ratio of the distances from the centre of
- all sciences – E.T. BELL v
- DIMENSIONAL GEOMETRY
- A Note The coordinates of the origin O are ( , , ). The coordinates of any point
- A Note We can also show that ABCD is a parallelogram, using the property that
- ® In three dimensions, the coordinate axes of a rectangular Cartesian coordinate
- ® The coordinates of the mid-point of the line segment joining two points
- explanation of the course of Nature – WHITEHEAD v
- Illustration Consider the function ( )
- , where ( )
- If ( )
- dx (
- Binomial theorem tells that ( x + h ) n = (
- ® For a function f and a real number a , lim
- ® For functions u and v the following holds
- v There are few things which we know which are not capable of
- standing by you. – ARTHENBOT v
- MATHEMATICAL REASONING
- A Note While forming the negation of a statement, phrases like, “It is not the
- A Note Do not think that a statement with “And” is always a compound statement
- ® Explained the terms
- ® The following methods are used to check the validity of statements
- estimates.” – A.L.BOWLEY & A.L. BODDINGTON v
- A Note In this Chapter, we shall use the symbol M to denote median unless stated
- where ∑
- A Note The step deviation method is applied to compute x . Rest of the procedure
- If ∑
- and standard deviation ( )
- A Note The reader may note that if each observation is multiplied by a constant
- A Note We may note that adding (or subtracting) a positive number to (or from)
- ® Mean deviation for ungrouped data
- ® Coefficient of variation (C.V.)
- you have a candle in your hand. – JOHN ARBUTHNOT v
- PROBABILITY
- A Note The outcomes of this experiment are ordered pairs of H and T. For the
- Therefore, ( )
Chapter 4: P , i.e., (
Chapter 5: Front Matter
- Textbook for Class XI
- Foreword
- Textbook Development Committee
- Acknowledgements
- Contents
- is the oldest and the youngest. — G.H. HARDY v
- A Note All infinite sets cannot be described in the roster form. For example, the
- Miscellaneous Examples
- all physical research. – BERTHELOT v
- RELATIONS AND FUNCTIONS
- ® Cartesian product A × B of two sets A and B is given by
- he can not solve it. – MILNE v
- TRIGONOMETRIC FUNCTIONS
- A Note
- ® Radian measure = π
- ® cos x = gives x = ( n + ) π
- universal gravity. – LAPLACE v
- MATHEMATICAL INDUCTION
- ® The principle of mathematical induction is one such tool which can be used to
- Mathematics. – GAUSS v