Chapter 6 Triangles Ex 6.2
Chapter 6 Triangles Ex 6.2 Question 1. In the given figure (i) and (ii), DE || BC. Find EC in (i) and AD in (ii). Solution: Question 2. E and F are points on the sides PQ and PR respectively of a ∆PQR. For each of the following cases, state whether EF || QR: (i) […]
Chapter 6 Triangles Ex 6.1
Chapter 6 Triangles Ex 6.1 Question 1. Fill in the blanks by using the correct word given in brackets. (i) All circles are ……………. . (congruent/similar) (ii) All squares are …………… . (similar/congruent) (iii) All …………….. triangles are similar. (isosceles/equilateral) (iv) Two polygons of the same number of sides are similar, if (a) their corresponding angles are …………… […]
Chapter 5 Arithmetic Progressions Ex 5.4
Chapter 5 Arithmetic Progressions Ex 5.4 Question 1. Which term of the AP: 121, 117. 113, ….., is its first negative term? Solution: Question 2. The sum of the third term and the seventh term of an AP is 6 and their product is 8. Fibd the sum of first sixteen terms of the AP?Solution: […]
Chapter 5 Arithmetic Progressions Ex 5.3
Chapter 5 Arithmetic Progressions Ex 5.3 Question 1. Solution: Question 2. Solution: Question 3. In an AP: (i) given a = 5, d = 3, an = 50, find n and Sn. (ii) given a = 7, a13 = 35, find d and S13. (iii) given a12 = 37, d = 3, find a and S12. (iv) given […]
Chapter 5 Arithmetic Progressions Ex 5.2
Chapter 5 Arithmetic Progressions Ex 5.2 Question 1. 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: Solution: Question 2. Choose the correct choice in the following and justify: (i) 30th term of the AP: 10, 7, […]
Chapter 5 Arithmetic Progressions Ex 5.1
Chapter 5 Arithmetic Progressions Ex 5.1 Question 1. Solution: (i) Given: a1 = ₹ 15 a2 = ₹ 15 + ₹ 8 = ₹ 23 a3 = ₹ 23 + ₹ 8 = ₹ 31 List of fares is ₹ 15, ₹ 23, ₹ 31 and a2 – a1 = ₹ 23 – ₹ 15 = ₹ 8 a3 – a2 = […]
Chapter 4 Quadratic Equations Ex 4.4
Chapter 4 Quadratic Equations Ex 4.4 Question 1.Find the nature of the roots of the following quadratic equations. If the real roots exist, find them: (i) 2x² -3x + 5 = 0 (ii) 3×2 – 4√3x + 4 = 0 (iii) 2×2-6x + 3 = 0 Solution:(i) 2×2 – 3x + 5 = 0 This is of […]
Chapter 4 Quadratic Equations Ex 4.3
Chapter 4 Quadratic Equations Ex 4.3 Question 1.Find the roots of the following quadratic equations, if they exist, by the method of completing the square: (i) 2×2 – 7x + 3 = 0 (ii) 2×2 + x – 4 = 0 (iii) 4×2 + 4√3x + 3 = 0 (iv) 2×2 + x + 4 = 0 Solution: Question […]
Chapter 4 Quadratic Equations Ex 4.2
Chapter 4 Quadratic Equations Ex 4.2 Question 1. Find the roots of the following quadratic equations by factorisation: (i) x2 -3x – 10 = 0 (ii) 2×2 + x – 6 = 0 (iii) √2×2 + 7x + 5√2 = 0 (iv) 2×2 – x + 18 = 0 8 (v) 100 x2 – 20 X + 1 = 0 Solution: Question […]
Chapter 4 Quadratic Equations Ex 4.1
Chapter 4 Quadratic Equations Ex 4.1 Question 1. Check whether the following are quadratic equations: (i) (x+ 1)2=2(x-3) (ii) x – 2x = (- 2) (3-x) (iii) (x – 2) (x + 1) = (x – 1) (x + 3) (iv) (x – 3) (2x + 1) = x (x + 5) (v) (2x – […]