Probability Class 11 Notes Maths Chapter 16 Coin, Die and Playing cards (i) Coin : It has two sides, viz. head and tail. If we have more than one coin, coins are regarded as distinct, if not otherwise stated. (ii) Die : A die has six faces marked 1, 2, 3, 4, 5 and 6.…
Read more
Statistics Class 11 Notes Maths Chapter 15 Before we discuss about the measure of deviations, we are expected to know how to calculate arithmetic mean \(\bar{x}\) and median. To find mean of a distribution, we proceeded as : For ungrouped data : x1, x1 …….. xn. \(\bar{x}=\frac{x_{1}+x_{2}+\ldots+x_{n}}{n}=\frac{\Sigma x_{i}}{n}\) For discrete frequency distribution For Continuous Frequency…
Read more
Mathematical Reasoning Class 11 Notes Maths Chapter 14 Statement : A sentence is called mathematically acceptable statement, if it is either true of false but not both. Negation of a Statement: The denial of a statement is called negation of the statement e.g. If p : Diagonals of a rectangle are equal. So, ~ p…
Read more
Limits and Derivatives Class 11 Notes Maths Chapter 13 Left Hand Limit: The \(\lim _{x \rightarrow a^{-}}\)f(x) is the expected value f(x) at x = a, given the values of fix) near x to the left of a. This value is called the left hand limit of f(x) at a. Right Hand Limit : The…
Read more
Introduction to three Dimensional Geometry Class 11 Notes Maths Chapter 12 Co-ordinates of a Point: The co-ordinates of a point are the distances from the origin of the feet of the perpendiculars from the point on the respective co-ordinate axes. Distance Formula : The distance between the points (x1 y1, z1) and (x2, y2, z2)…
Read more
Conic Sections Class 11 Notes Maths Chapter 11 Conic : Let T be a fixed line and F be a fixed point (not on line T). Let P be any point in the plane of the line T and the point F. Then, the set of all points P, such that | FP | =…
Read more
Straight lines Class 11 Notes Maths Chapter 10 Co-ordinate Geometry: The branch of Mathematics in which geometrical problem are solved through algebra by using the co-ordinate system, is known as co-ordinate geometry or analytical geometry. Algebrical Representation of a Point: It is done by means of two numbers defined in a particular way called co-ordinates…
Read more
Sequences and Series Class 11 Notes Maths Chapter 9 Sequence : A set of numbers arranged according to some definite rule is called a sequence. The different numbers which form the sequence are called the terms of the sequence. Terms are denoted by the symbols T1 T2, T3, … etc. the subscript denotes the position…
Read more
Binomial Theorem Notes Class 11 Maths Chapter 8 Binomial theorem for any positive integer 1. (a + b)n = nC0an + nC1an-1 + nC2an-2 + ………………..nCran-rbr + ………..+ nCnbn 2. Tr+1 = general term = nCran-rbr … (1) (a + b)n = \(\sum_{r=0}^{n}\)nCran-rbr 3. Some observations : (i) Number of terms in binomial expansion =…
Read more
Permutations and Combinations Class 11 Notes Maths Chapter 7 Fundamental Principle of Counting (F.P.C.): If an event can occur in m different ways, following which another event can occur in n different ways, following which another event can occur in r different ways and so forth, then the total number of different ways of occurrence…
Read more