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  1. 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.

  2. Textbooks PDF (I-XII) Welcome to the Online Textbooks Section. This online service offers easy access to the NCERT textbooks. The service covers textbooks of all subjects published by NCERT for classes I to XII in Hindi, English and Urdu.

  3. 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.

  4. 9.5 Addition and Subtraction of Algebraic Expressions. In the earlier classes, we have also learnt how to add and subtract algebraic expressions. For example, to add 7x2 – 4x + 5 and 9x – 10, we do 7x2 – 4x + 5. + 9x – 10. 7x2 + 5x.

  5. CHAPTER 8. 8.1 Recalling Ratios and Percentages. We know, ratio means comparing two quantities. A basket has two types of fruits, say, 20 apples and 5 oranges. Then, the ratio of the number of oranges to the number of apples = 5 : 20. 5 1.

  6. You will remember what you learnt about factors in Class VI. Let us take a natural number, say 30, and write it as a product of other natural numbers, say 30 = 2 × 15 = 3 × 10 = 5 × 6 Thus, 1, 2, 3, 5, 6, 10, 15 and 30 are the factors of 30. Of these, 2, 3 and 5 are the prime factors of 30 (Why?)

  7. Fig 9.5. Example 1: The area of a trapezium shaped field is 480 m2, the distance between two parallel sides is 15 m and one of the parallel side is 20 m. Find the other parallel side. Solution: One of the parallel sides of the trapezium is a = 20 m, let another parallel side be b, height h = 15 m.

  8. 8.1 Properties of a Parallelogram. You have already studied quadrilaterals and their types in Class VIII. A quadrilateral has four sides, four angles and four vertices. A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel. Let us perform an activity.

  9. In the earlier classes, you have come across several algebraic expressions and equations. Some examples of expressions we have so far worked with are: 5x, 2x – 3, 3x + y, 2xy + 5, xyz + x + y + z, x2 + 1, y + y2. 5 37. Some examples of equations are: 5x = 25, 2x – 3 = 9, 2 y + = , 6 z + 10 = − 2. 2 2.

  10. In our work in this class, we will be dealing with convex polygons only . 3.1.2 Regular and irregular polygons A regular polygon is both ‘equiangular ’ and ‘equilateral’. For example, a square has sides of equal length and angles of equal measure. Hence it is a regular polygon. A rectangle is Understanding CHAPTER3 Quadrilaterals Fig 3.1

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