Class 11 Maths NCERT Solutions Chapter 4: Principle of Mathematical Induction Ex – 4.1 Question 1: Ans : Question 2: Ans : Let the given statement be P(n), i.e., P(n) = 13 + 23 + 33 + …………. + n3 = (n(n+1)2)2. For n = 1, we have P(1) : 13 = 1 = (1(1+1)2)2=(122)2 = 12 = 1 which is true. […]
The perimeter of rectangle is one of the most fundamental concepts in mathematics, especially in geometry. It not only appears frequently in school-level exams but also forms the basis of calculations used in architecture, engineering, interior design, and construction. This guide will explain everything you need to know about the perimeter of a rectangle —
Integral calculus is a core component of higher mathematics and one of the most powerful tools in the analytical toolkit of students, engineers, and scientists. At the heart of integral calculus lie integration formulas, which allow us to find the area under curves, solve differential equations, and understand accumulation processes. Whether you’re preparing for competitive
Trigonometry, a crucial branch of mathematics, finds its application in geometry, physics, engineering, and even in daily problem-solving. At the heart of trigonometry lies a powerful set of equations known as trigonometry formulas. Whether you are a student preparing for exams or a professional brushing up on the basics, having a solid grasp of these
A concave mirror (or converging mirror) is a spherical mirror with a reflecting surface curved inward. Unlike flat mirrors, concave mirrors focus light to a single point, making them essential in telescopes, headlights, and scientific instruments. Key Properties: Converges parallel light rays Forms real or virtual images Has a positive focal length Used for magnification and focusing Basic Terminology Term Symbol Definition Pole (P) P
Jawaharlal Nehru, India’s first Prime Minister, remains one of the most influential figures in Indian history. Known as “Pandit Nehru” and “Chacha Nehru” (for his love for children), he played a pivotal role in India’s freedom struggle and laid the foundation for a democratic, secular, and socialist nation. Born on November 14, 1889, in Allahabad, Nehru was a central figure in India’s
Class 11 Maths NCERT Solutions Chapter 3: Trigonometric Functions Ex – 3.1 Q.1:Find the radian measures corresponding to the following degree measures: (i) 25° (ii) – 47° 30′ (iii) 240° (iv) 520° Solution: Q.2: Solution:(i) 1116 We know that: Ï€ radian = 180° ∴ 1116 radain = 180π×1116 × degree = 45×11π×4 degree = 45×11×722×4 degree = 3158 degree = 39 38 degree =
Class 11 Maths NCERT Solutions Chapter 2: Relations and Functions Ex – 2.1 Q.1: Solution: Q.2: Solution: Q.3: Solution: Q.4: Solution: Q.5: Solution: Q.6: Solution: Q.7: Solution: Q.8: Solution: Q.9: Solution: Q.10: Solution: Ex – 2.2 Q.1: Solution: Q.2: Solution: Q.3: Solution: Q.4: Solution: Q.5: Solution: Q.6: Solution: Q.7: Solution: Q.8: Solution:
The Anarchical and Revolutionary Crimes Act of 1919, commonly called the Rowlatt Act, was arguably the most repressive law enacted by the British in India. Proposed by Justice Sidney Rowlatt’s committee, this legislation: ✔ Extended wartime emergency measures into peacetime ✔ Allowed detention without trial for up to 2 years ✔ Permitted secret trials without juries
Introduction to the Non-Cooperation Movement Launched by Mahatma Gandhi on 1 August 1920, the Non-Cooperation Movement marked India’s first nationwide mass protest against British rule. This non-violent resistance campaign aimed to: ✔ Achieve Swaraj (self-rule) ✔ Redress the Jallianwala Bagh massacre ✔ Reverse injustices of the Rowlatt Act ✔ Address Khilafat grievances Section 1: Historical Background & Causes
