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New answer posted
a year agoBeginner-Level 5
Yes, Linear Inequalities is quite important for competitive exams such as JEE, NDA, CUET, and other entrance tests. In many exams such as CUET UG, and NDA, 1-2 questions are directly asked from this chapter. While in others such as JEE Mains, questions may not always appear directly, its concepts form the foundation for more advanced topics, especially Linear Programming, which is a key part of the Class 12 syllabus and competitive problem-solving.
Students must focus on understanding how to solve inequalities, represent them graphically, and interpret solution sets is essential in questions involving constraints, optimization, and rea
New answer posted
a year agoBeginner-Level 5
The chapter Linear Inequalities is an important part of the Class 11 CBSE Maths syllabus. Linear Inequalities carry a weightage of approximately 6–8 marks in the CBSE annual exam. Students must know that this is a high-scoring chapter because the questions are usually straightforward and concept-based.
Linear Inequalities helps students solve inequalities algebraically and represent them graphically, which is essential for understanding real-world problems with constraints. It also builds the foundation for Linear Programming in Class 12, a major application topic for class 12 boards.
New answer posted
a year agoBeginner-Level 5
Linear Inequality is indexed as chapter 5 in the CBSE class 11 mathematics. A linear inequality is an expression that shows the relationship between two algebraic expressions using inequality symbols like <, >? , or? , instead of an equal sign. For example,
The highest power of the variable in linear inequalities, is 1, and they graph as straight lines on the coordinate plane (with shaded regions showing the inequality). Linear inequalities are used in many ways such as to find many range of possible values, solve optimization problems, and computer science.
New answer posted
a year agoContributor-Level 10
According to the principle of superposition, when two or more waves overlap in space, due to each individual wave, at any point the displacement is the vector sum of the displacements. The principle of superposition also explains phenomena like interference where waves combine to amplify or cancel out each other. It can happen in both ways - constructively or destructively. In real life, the superposition can be seen in the noise cancellation technologies, sound beats and the colourful patterns created by overlapping water waves. The principle is the fundamental concept for understanding wave behaviour in acoustics, optics and even qua
New answer posted
a year agoBeginner-Level 5
Trigonometric ratios are mathematical relationships between the angles and sides of a right-angled triangle. The primary trigonometric ratios are sine, cosine, and tangent, The Trigonometric formulas
sin (? ) = Perpendicular/ Hypotenuse
cos (? ) = Base / Hypotenuse
tan (? ) = Perpendicular / Base
There are several real life applications of trigonometric functions such as in Architecture & Engineering, Astronomy & Navigation, Aviation and Construction.
New answer posted
a year agoBeginner-Level 5
Students have confusions understanding the difference between the real and imaginary number and how they form complex number. Well here is the simple explaination, Real numbers include all the rational and irrational numbers such as 0, 1,2.78, 9.9999. etc. while imaginary numbers involve i, the square root of –1. A combination of both real and imaginary number forms a complex number. for example; 3 + 4.
New answer posted
a year agoContributor-Level 10
The conjugate of a complex number is formed by changing the sign of its imaginary part. If a complex number is written in the form a + ib, where: a is the real part, b is the imaginary part, and i is the imaginary unit (i² = –1), then its conjugate is a – ib.
For example:
The conjugate of 8 + 3i is 8 – 3i.
We have provided more information about the complex number topic in the NCERT Solutions for complex Numbers.
New answer posted
a year agoBeginner-Level 5
You can download free NCERT Solutions for Class 11 Maths Complex Numbers PDF from our websites Shiksha free of cost. We have provided free solutions with detailed explainations and important formulas of the chapter on our page. These NCERT solutions are available in PDF format.
New answer posted
a year agoBeginner-Level 5
Yes, NCERT Solutions are generally enough for Class 11 Maths exam preparation, especially for CBSE board exams. Shiskha has provided NCERT solutions are based on the latest CBSE syllabus, with step-by-step explanations that help build a strong conceptual understanding.
In Chapter 4 Complex Numbers and Quadratic Equations of class 11 Maths, students are introduced to key concepts like real and imaginary numbers, the form a + ib, modulus, conjugate, and solving equations with complex roots. These solutions explain each problem methodically, making it easier to grasp abstract topics like the Argand plane or polar representation. Our
New answer posted
a year agoBeginner-Level 5
Chapter 4 of class 11 Maths covers concepts such as complex numbers, imaginary unit i, algebra of complex numbers, polar representation, quadratic equations, and the nature of roots. Students can find details below;
Definition of Complex Numbers: Introduction to the general form a + ib, where i is the imaginary unit (i² = –1).
Algebra of Complex Numbers: Operations such as addition, subtraction, multiplication, and division of complex numbers.
Complex Plane (Argand Plane): Graphical representation of complex numbers using the x-axis (real part) and y-axis (imaginary part).
Modulus and Conjugate of a Complex Number
Modulus = |z
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