Class 12 Maths Chapter 3 on Matrices explores the fundamental concepts of matrices, their types, and operations. This includes addition, subtraction, multiplication, and transpose of matrices, along with symmetric and skew-symmetric matrices. The chapter emphasizes properties like associativity, commutativity, and ...
Category: Class 12 Maths
NCERT Solutions for Class 12 Maths in Hindi and English Medium session 2021-2022
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Chapter 2 of Class 12 Maths, “Inverse Trigonometric Functions,” explores the inverse of sine, cosine, tangent, and related functions. This chapter emphasizes domain and range, properties, and graphical representations. MCQs test understanding of principal values, identities, and relationships between trigonometric ...
Chapter 1 of Class 12 Maths Relations and Functions explores fundamental concepts like types of relations and functions. It covers empty, universal, reflexive, symmetric, transitive, and equivalence relations along with one-one, onto, and bijective functions. MCQs assess understanding of relation ...
Powers in mathematics represent repeated multiplication of a number by itself. The base is the number being multiplied and the exponent shows how many times it is multiplied. For example 2³ means 2 multiplied by itself three times (2 * ...
The probability of an event is a measure of the likelihood that the event will occur. It is calculated as the ratio of favorable outcomes to total possible outcomes. Probability values range from 0 (impossible event) to 1 (certain event). ...
P(A) = 4/5 and P(A ∩ B) = 7/10, this means the probability of event A occurring is 4/5, and the probability of both events A and B occurring together is 7/10. To find P(B), use the formula P(A ∩ ...
Probability is the measure of the likelihood of an event occurring. It ranges from 0 (impossible event) to 1 (certain event). The probability of an event is calculated as the ratio of favorable outcomes to total possible outcomes. It is ...
P(A ∩ B) represents the probability of both events A and B occurring simultaneously. If A and B are independent, then P(A ∩ B) = P(A) × P(B). For dependent events, the probability of their intersection can be calculated using ...
Two events E and F are independent if the occurrence of one does not affect the occurrence of the other. Mathematically, they are independent if P(E ∩ F) = P(E) × P(F). This relationship is fundamental in probability theory and ...
Independent events in probability are events where the occurrence of one does not affect the occurrence of the other. Mathematically two events A and B are independent if P(A ∩ B) = P(A) × P(B). These events are important in ...