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Textbooks PDF (I-XII) Mathematics ... Mathematics : Rationalised Content: Prelims: Guide for using QR Code: Chapter 1: Chapter 2: Chapter 3: Chapter 4: Chapter 5: Chapter 6: Chapter 7: Chapter 8 Chapter 9: Chapter 10: Chapter 11 ... NCERT, Sri Aurobindo Marg, New Delhi-110016. dceta.ncert@nic.in +91 8800440559. Important Helpline Numbers. Women Helpline Number : 7827170170.
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In Class IX, you began your exploration of the world of real numbers and encountered irrational numbers. We continue our discussion on real numbers in this chapter. We begin with two very important properties of positive integers in Sections 1.2 and 1.3, namely the Euclid’s division algorithm and the Fundamental Theorem of Arithmetic.
Fig. 8.3. In all the situations given above, the distances or heights can be found by using some mathematical techniques, which come under a branch of mathematics called ‘trigonometry’. The word ‘trigonometry’ is derived from the Greek words ‘tri’ (meaning three), ‘gon’ (meaning sides) and ‘metron’ (meaning measure).
File Name : C:\Computer Station\Class - X (Maths)/Final/Chap-10/Chap–10 (11th Nov.).pmd 10 10.1 Introduction You have studied in Class IX that a circle is a collection of all points in a plane which are at a constant distance (radius) from a fixed point (centre). You have
This is the philosophy with which the mathematics syllabus from Class I to Class XII was developed, and which the textbook development committee has tried to realise in the present textbook.
In this chapter, we shall extend the study of these three measures, i.e., mean, median and mode from ungrouped data to that of grouped data. We shall also discuss the concept of cumulative frequency, the cumulative frequency distribution and how to draw cumulative frequency curves, called ogives.
You are already familiar with some methods of finding perimeters and areas of simple plane figures such as rectangles, squares, parallelograms, triangles and circles from your earlier classes. Many objects that we come across in our daily life are related to the circular shape in some form or the other.
7.1 Introduction. In Class IX, you have studied that to locate the position of a point on a plane, we require a pair of coordinate axes. The distance of a point from the y-axis is called its. x-coordinate, or abscissa. The distance of a point from the x-axis is called its. y-coordinate, or ordinate.
the lines may be coincident. In this case, the equations have infinitely many solutions [dependent (consistent) pair of equations]. Consider the following three pairs of equations. x – 2y = 0 and 3x + 4y – 20 = 0 (The lines intersect) 2x + 3y – 9 = 0 and 4x + 6y – 18 = 0 (The lines coincide)