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TRIANGLES-Notes
Concept of Similar Figures The chapter introduces the idea of similarity, which goes far beyond simply "looking alike." Here, similarity is treated as a g...
ARITHMETIC PROGRESSIONS-Exercise 5.4
Q 1. Which term of the AP : 121, 117, 113, . . ., is its first negative term? Solution: AP: 121, 117, 113.... $$\begin{aligned}a=121\\ ...
ARITHMETIC PROGRESSIONS-Exercise 5.3
Q1. Find the sum of the following APs: 2, 7, 12, . . ., to 10 terms. –37, –33, –29, . . ., to 12 terms. 0.6, 1.7, 2.8, . . ., to ...
ARITHMETIC PROGRESSIONS-Exercise 5.2
Q1. Fill in the blanks in the following table, given that a is the first term, d the common difference and an the nth term of the AP: \[ \begin{a...
ARITHMETIC PROGRESSIONS-Exercise 5.1
Q1. In which of the following situations, does the list of numbers involved make an arithmetic progression, and why? The taxi fare afte...
ARITHMETIC PROGRESSIONS-True/False
Arithmetic Progressions (AP) form an important part of the Class X Mathematics curriculum. This chapter introduces the concept of sequences where the difference between consecutive terms is constant. ...
ARITHMETIC PROGRESSIONS-MCQs
NCERT Class 10 Mathematics Chapter 5 “Arithmetic Progressions” is a high scoring chapter that tests a student’s conceptual clarity, formula application, and problem solving speed in sequences an...
ARITHMETIC PROGRESSIONS-Notes
Introduction to Sequences A sequence is an ordered list of numbers arranged according to a specific rule or pattern. Examples ...
QUADRATIC EQUATIONS-Exercise 4.3
Find the nature of the roots of the following quadratic equations. If the real roots exist, find them: \(2x^2 – 3x + 5 = 0\) ...
QUADRATIC EQUATIONS-Exercise 4.2
Q1. Find the roots of the following quadratic equations by factorisation: \(x^2 – 3x – 10 = 0\) Solution: ...
QUADRATIC EQUATIONS-Exercise 4.1
Q1. Check whether the following are quadratic equations : \((x + 1)^2 = 2(x – 3)\) Soultion $$\begin{aligned}\left( x+1\right...
QUADRATIC EQUATIONS-True/False
NCERT Class X Mathematics Chapter 4, "Quadratic Equations," introduces second-degree polynomial equations of the form \mathbit{a}\mathbit{x}^\mathbf{2}+\mathbit{bx}+\mathbit{c}=\mathbf{0} where \mathb...