NCERT Solutions for Class 11 Maths Chapter 15 Exercise 15.2

Integration of rational and irrational functions: We are familiar with functions and their derivatives. We often are not given an expression for a function, \(f\left( x...

Interference of Light and Superposition Principle: One of the most important characteristics of light waves is their ability, under certain conditions, to interfere with one...

Correlation Coefficient: Correlation investigates the relationship, or association, between two variables by examining how the variables change about one another. Correlation analysis is a method...

Basic Terms Related to Angle: The most common word used in more than one chapter of Mathematics is 'angle'. We have been using it verbally, in...

Earth's Magnetism: Did you ever lose the sense of direction on any trekking? In such a situation, a magnetic compass will come to your rescue;...

Magnesium Oxide Formula: Magnesium oxide, also known as 'Magnesia,' is an ionic compound formed by the metal (Magnesium) and non-metal (Oxygen) by transfer of electrons...

Boiling Point of Water: We are familiar with the word boiling point. What does it mean? Well, here is the answer: The temperature at which...

Proportion: When two ratios are equal, we can say the ratios are in proportion. There are two types of proportion, direct proportion and inverse proportion....

Third Law of Thermodynamics: Translational, rotational, and vibrational molecular motions can occur among the atoms, molecules, or ions that make up a chemical system. The...

Economic Importance of Artificial Propagation: Have you ever thought about how you can grow different colours of fruits and vegetables with desirable characters? It is...

Zinc Chloride Formula: In chemical compounds, zinc almost exclusively has the oxidation state \( + 2\,\) Some \( + 1\) state zinc compounds have been...

Construction of index numbers: There are two ways to construct an index number. They are weighted and unweighted methods of construction. It can also be calculated...

Spearman's Rank Correlation Coefficient: While calculating the correlation coefficient or product-moment correlation coefficient, it is assumed that both characteristics are measurable. But, in reality, some...

Differentiation of Different Types of Functions: We use the concept of derivatives to express the rate of change in any function, such as identity, trigonometric,...

Differentiation of determinants: We know that the equations in two variables can be solved quickly. But if the number of variables is three or more,...

Methods of solving first order, first degree differential equation: Differential equations have several real life applications such as in computing the movement or flow of...

Geometric Mean and Useful Result: In mathematics and statistics, measures of central tendencies describe the summary of whole data set values. The most important measures...

Qualitative and Quantitative Analysis: We know that organic compounds are either hydrocarbons or their derivatives. Almost every organic substance contains carbon and hydrogen. Organic molecules...

Random variables and its probability distributions: A variable that is used to quantify the outcome of a random experiment is a random variable. Since there...

Integral as limit of sum: Integrals are applied in various fields like Mathematics, Engineering, and Science. They are used to calculate areas of irregular shapes...

Angle Between a Line and a Plane: The geometry which defines a position of a point in space by three numbers x, y and z is called...

Evolution: The scientist Theodosius Dobzhansky once said, “Nothing in biology makes sense, except in the light of Evolution” This statement is still as true today as...

Heredity and Accumulation of Variation During Reproduction: Evolution is one of the guiding principles that govern our world. Hence, it is one of the most important...

Introduction to index numbers: An index number is a statistical instrument for assessing changes in the magnitude of a group of connected variables. It represents...

Physical World: The "Physical World" refers to the world we see around us. It is the world that we perceive through our five senses. It...

Uses and classification of index numbers: An index is a statistical measure of change in a representative collection of individual data points used in Statistics,...

Computation of mean deviation: The mean deviation of a data set is used to calculate how far the values are from the centre point. Mean,...