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TRIGONOMETRIC FUNCTIONS-Exercise 3.2
Find the values of other five trigonometric functions in Exercises 1 to 5. Q1. \(\cos x=-\dfrac{1}{2},\; x \) lies in third quadrant. Solution ...
TRIGONOMETRIC FUNCTIONS-Exercise 3.1
Q1. Find the radian measures corresponding to the following degree measures: (i) 25° (ii) – 47°30′ (iii) 240° (...
TRIGONOMETRIC FUNCTIONS-True/False
This structured collection of True and False questions on Trigonometric Functions is designed to support both two-session and four-session instructional plans commonly followed in senior secondary mat...
TRIGONOMETRIC FUNCTIONS-MCQs
Trigonometric Functions form a foundational pillar of Class XI Mathematics and act as a gateway to advanced topics in calculus, coordinate geometry, physics, and engineering mathematics. This carefull...
TRIGONOMETRIC FUNCTIONS-Notes
Angles An angle is formed when a ray revolves about its endpoint in a plane. The fixed endpoint...
RELATIONS AND FUNCTIONS-Objective Questions for Entrance Exams
The following set of multiple-choice questions (MCQs) on Relations and Functions has been meticulously curated to reflect the conceptual depth, analytical rigor, and recurring patterns of questions as...
Miscellaneous Exercise on Chapter 2
Q1. The relation \(f\) is defined by $$\begin{aligned}f_{x}=\begin{cases}x^{2},0\leq x\leq 3\\ 3x,3\leq x\leq 10\end{cases}\end{aligned}$$ The r...
RELATIONS AND FUNCTIONS-Exercise 2.3
Q1. Which of the following relations are functions? Give reasons. If it is a function, determine its domain and range. (i) {(2,1), (5,1), (8,1),...
RELATIONS AND FUNCTIONS-Exercise 2.2
Q1. Let \(A = \{1, 2, 3,...,14\}\). Define a relation \(R\) from \(A\) to \(A\) by \(R = \{(x, y) : 3x – y = 0, \text{ where } x, y ∈ A\}\). Write down i...
RELATIONS AND FUNCTIONS-Exercise 2.1
Q1. If \(\left(\dfrac{x}{1} + 1,y-\dfrac{2}{3}\right)=\left(dfrac{5}{3},\dfrac{1}{3}\right)\), find the values of x and y. Solution ...
RELATIONS AND FUNCTIONS-True/False
Relations and Functions form a foundational pillar of higher mathematics and act as a bridge between elementary set theory and advanced mathematical analysis. This chapter introduces the formal langua...
RELATIONS AND FUNCTIONS-MCQs
Relations and Functions form the conceptual backbone of higher mathematics and play a decisive role in developing analytical thinking at the senior secondary level. For Class XI students, this chapter...