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CIRCLES-Exercise 10.1
Q1.How many tangents can a circle have? Answer A circle can have infinitely many tangents. Reason Each tangent touches the circle at exactly one poi...
CIRCLES-True/False
This set of True/False questions on “Circles” is designed to strengthen conceptual clarity for Class 10 students preparing for board examinations. Each statement checks understanding of key ideas ...
CIRCLES-MCQs
This set of 50 multiple choice questions is designed to give Class 10 students thorough practice of Chapter 10 “Circles” from the NCERT Mathematics textbook. The questions systematically cover all...
CIRCLES-Notes
Secant Secant is defined as a straight line that intersects a circle at exactly two distinct points. Unlike a tangent, whic...
SOME APPLICATIONS OF TRIGONOMETRY-True/False
This set of 25 True/False questions on Chapter 9 “Some Applications of Trigonometry” has been carefully designed to strengthen conceptual understanding as well as exam-oriented problem-solving ski...
SOME APPLICATIONS OF TRIGONOMETRY-MCQs
This MCQ set has been meticulously designed to strengthen conceptual understanding and examination readiness for NCERT Class X Mathematics Chapter 9, Some Applications of Trigonometry. By covering def...
SOME APPLICATIONS OF TRIGONOMETRY-Notes
Height and Distance Concepts The chapter begins by clarifying the notion of line of sight, horizontal level, and how an observer perceives an object eithe...
INTRODUCTION TO TRIGONOMETRY-Exercise 8.3
1. Express the trigonometric ratios sin A, sec A and tan A in terms of cot A. Solution: sin A in terms of cot A $$\begin{aligned}\cot A&=\dfrac{\cos A}{\sin ...
INTRODUCTION TO TRIGONOMETRY-Exercise 8.2
1. Evaluate the following : Solution: i. $$\begin{aligned}\sin 60^{0}\times \cos 30^{0}+\sin 30^{0}\times &\cos 60^{\circ }\\ \dfrac{\sqrt{3}}{2}\ti...
INTRODUCTION TO TRIGONOMETRY-Exercise 8.1
\(\tiny\begin{aligned}P&\Rightarrow \text{Perpendicular}\\ B&\Rightarrow \text{Base}\\ H&\Rightarrow \text{Hypotenuse} \end{aligned}\) ...
INTRODUCTION TO TRIGONOMETRY-True/False
Trigonometry in Class 10 begins with studying the ratios of sides of a right triangle with respect to its acute angles. Students learn six basic trigonometric ratios: sine, cosine, tangent and their r...