Chapter
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NCERT Textbook Exercise Solution
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NUMBER SYSTEM
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Exercise 1.1 (Page 5)
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Exercise 1.2 (Page 8)
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Exercise 1.3 (Page 14)
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Read
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Exercise 1.4 (Page 18)
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Read
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Exercise 1.5 (Page 24)
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Read
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Exercise 1.6 (Page 26)
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Read
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POLYNOMIALS
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Exercise 2.1 (Page 32)
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Exercise 2.2 (Page 34, 35)
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Read
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Exercise 2.3 (Page 40)
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Read
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Exercise 2.4 (Page 43, 44)
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Read
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Exercise 2.5 (Page 48, 49, 50)
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Read
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COORDINATE GEOMETRY
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Exercise 3.1 (Page 53)
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Read
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Exercise 3.2 (Page 60, 61)
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Read
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Exercise 3.3 (Page 65)
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Read
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LINEAR EQUATIONS IN TWO VARIABLES
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Exercise 4.1 (Page 68)
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Read
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Exercise 4.2 (Page 70)
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Read
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Exercise 4.3 (Page 74, 75)
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Read
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Exercise 4.4 (Page 77)
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Read
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INTRODUCTION TO EUCLID’S GEOMETRY
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Exercise 5.1 (Page 85, 86)
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Read
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Exercise 5.2 (Page 88)
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Read
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LINES AND ANGLES
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Exercise 6.1 (Page 96, 97)
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Exercise 6.2 (Page 103, 104)
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Exercise 6.3 (Page 107, 108)
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TRIANGLES
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Exercise 7.1 (Page 118, 119, 120)
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Read
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Exercise 7.2 (Page 123, 124)
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Read
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Exercise 7.3 (Page 128)
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Read
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Exercise 7.4 (Page 132)
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Read
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QUADRILATERALS
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Exercise 8.1 (Page 146, 147)
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Exercise 8.2 (Page 150, 151)
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Read
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AREAS OF PARALLELOGRAMS AND TRIANGLES
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Exercise 9.1 (Page 155)
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Read
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Exercise 9.2 (Page 159, 160)
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Read
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Exercise 9.3 (Page 162, 163, 164)
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Read
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Exercise 9.4 (Page 164, 165, 166)
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Read
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CIRCLES
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Exercise 10.1 (Page 171)
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Exercise 10.2 (Page 173)
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Exercise 10.3 (Page 176)
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Exercise 10.4 (Page 179)
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Read
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Exercise 10.5 (Page 184, 185, 186)
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Read
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Exercise 10.6 (Page 186, 187)
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Read
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CONSTRUCTIONS
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Exercise 11.1 (Page 191)
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Read
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Exercise 11.2 (Page 195)
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Read
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HERON’S FORMULA
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Exercise 12.1 (Page 202, 203)
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Read
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Exercise 12.2 (Page 206, 207)
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Read
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SURFACE AREAS AND VOLUMES
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Exercise 13.1 (Page 213)
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Read
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Exercise 13.2 (Page 216, 217)
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Read
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Exercise 13.3 (Page 221)
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Read
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Exercise 13.4 (Page 225)
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Read
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Exercise 13.5 (Page 228)
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Read
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Exercise 13.6 (Page 230, 231)
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Read
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Exercise 13.7 (Page 233)
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Read
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Exercise 13.8 (Page 236)
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Exercise 13.9 (Page 236, 237)
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Read
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STATISTICS
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Exercise 14.1 (Page 239)
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Exercise 14.2 (Page 245, 246)
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Read
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Exercise 14.3 (Page 258, 259, 260, 261)
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Read
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Exercise 14.4 (Page 269)
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PROBABILITY
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Exercise 15.1 (Page 283, 284, 285)
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Read
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1. Give two different examples of pair of (i) similar figures. (ii) non-similar figures. Solution: Two square of sides 4 cm and 8 cm each. A rhombus and a trapezium . 2. State whether the following quadrilaterals are similar or not Solution: Similar 3. In the figure (i) and (ii), DE || BC. Find EC in (i) and AD in (ii). Solution: (i) In D ABC DE is parallel to BC By Basic Proportionality Theorem ------------------- (1) Given: AD = 1.5 cm, DB = 3 cm, AE = 1 cm Let EC = ‘x’ cm Applying in (1) 1.5x = 3 x = x = 2 cm EC = 2cm (ii) Since DE || BC, using BPT …………………………. (1) Given: DB = 7.2 cm, AE = 1.8 cm, EC = 5.4 cm Let AD be = x sub. in (1) x = = \ AD = 2.4 cm 4. E and F are points on the sides PQ and PR respectively of a Δ PQR. For each of the following cases, state whether EF || QR (i) PE = 3.9 cm, EQ = 3 cm, PF = 3.6 cm and FR = 2.4 cm (ii) PE = 4 cm, QE = 4.5 cm, PF = 8 cm and RF = 9 cm (iii) PQ = 1.28 cm, PR = 2.56 cm,