Chapter 7 Coordinate Geometry Ex 7.1
Chapter 7 Coordinate Geometry Ex 7.1 Question 1. Find the distance between the following pairs of points: (i) (2, 3), (4, 1) (ii) (-5, 7), (-1, 3) (iii) (a, b), (-a, -b) Solution: Question 2. Find the distance between the points (0, 0) and (36, 15). Solution: Let points be A (0, 0) and B […]
Chapter 6 Triangles Ex 6.6
Chapter 6 Triangles Ex 6.6 Question 1. Solution: Question 2.In the given figure, D is a point on hypotenuse AC of ∆ABC, DM ⊥ BC and DN ⊥ AB. Prove that:(i) DM2 = DN X MC (ii) DN2 = DM X AN Solution: Question 3.In the given figure, ABc is triangle in which ∠ABC > 90° and AD ⊥ CB […]
Chapter 6 Triangles Ex 6.5
Chapter 6 Triangles Ex 6.5 Question 1. Sides of triangles are given below. Determine which of them are right triangles. In case of a right triangle, write the length of its hypotenuse. (i) 7 cm, 24 cm, 25 cm (ii) 3 cm, 8 cm, 6 cm (iii) 50 cm, 80 cm, 100 cm (iv) 13 […]
Chapter 6 Triangles Ex 6.4
Chapter 6 Triangles Ex 6.4 Question 1. Let ∆ABC ~ ∆DEF and their areas be, respectively, 64 cm2 and 121 cm2. If EF = 15.4 cm, find BC. Solution: Since, ∆ABC ~ ∆DEF The ratio of the areas of two similar triangles is equal to the ratio of the squares of the corresponding sides. Question 2. […]
Chapter 6 Triangles Ex 6.3
Chapter 6 Triangles Ex 6.3 Question 1. State which pairs of triangles in the given figures are similar. Write the similarity criterion used by you for answering the question and also write the pairs of similar triangles in the symbolic form : Solution: Question 2. In the given figure, ∆ODC ~ ∆OBA, ∠BOC = 125° […]
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, […]