Theophrastusclass 10 maths chapter 5 exercise 5.3 Exercise 5.3 Solutions Arithmetic Progressions 1. Find the sum of the following APs: Formula: Sn = n/2 [2a + (n-1)d] (i) 2, 7, 12, …, to 10 terms. a=2, d=5, n=10. S10 = 10/2 [2(2) + (10-1)5] = 5[4 + 45] = 5(49) = 245. (ii) -37, -33, … Read more
class 10 maths chapter 5 exercise 5.2 Exercise 5.2 Solutions Arithmetic Progressions 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: The formula to use is: an = a + (n-1)d (i) a = 7, d … Read more
class 10 maths chapter 5 exercise 5.1 solutions class 10 maths chapter 5 exercise 5.1 Exercise 5.1 Solutions Arithmetic Progressions 1. In which of the following situations, does the list of numbers involved make an arithmetic progression, and why? (i) The taxi fare after each km when the fare is ₹15 for the first km … Read more
surface area and volume class 10 extra questions Extra Practice Questions Surface Areas and Volumes (R.D. Sharma Level) 1. A metallic sphere of radius 10.5 cm is melted and then recast into smaller cones, each of radius 3.5 cm and height 3 cm. Find the number of cones so formed. Step 1: Find the volume … Read more
class 10 maths chapter 12 exercise 12.2 Exercise 12.2 Solutions Surface Areas and Volumes (Unless stated otherwise, take Ï€ = 22/7) 1. A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 1 cm and the height of the cone is equal to its radius. … Read more
Class 10 maths chapter 12 exercise 12.1 Exercise 12.1 Solutions Surface Areas and Volumes (Unless stated otherwise, take Ï€ = 22/7) 1. 2 cubes each of volume 64 cm³ are joined end to end. Find the surface area of the resulting cuboid. Step 1: Find the side of each cube. Volume of a cube = … Read more
linear equations in two variables class 10 extra questions Extra Practice Questions Pair of Linear Equations (R.D. Sharma Level) 1. Solve for x and y: 2x + 3y = 13 and 5x – 4y = -2. Let u = 1/x and v = 1/y. The equations become: 2u + 3v = 13 —(1)5u – 4v … Read more
class 10 maths chapter 3 exercise 3.3 Exercise 3.3 Solutions Pair of Linear Equations in Two Variables 1. Solve the following pair of linear equations by the elimination method and the substitution method. (i) x + y = 5 and 2x − 3y = 4 Elimination Method Multiply eq (1) by 3: 3x + 3y … Read more
class 10 maths chapter 3 exercise 3.2 solutions Exercise 3.2 Solutions Pair of Linear Equations in Two Variables 1. Solve the following pair of linear equations by the substitution method. (i) x + y = 14; x − y = 4 From x – y = 4, we get x = 4 + y. Substitute … Read more
Sclass 10 chapter 3 maths exercise 3.1 Exercise 3.1 Solutions Pair of Linear Equations in Two Variables 1. Form the pair of linear equations and find their solutions graphically. (i) 10 students of Class X took part in a Mathematics quiz. If the number of girls is 4 more than the number of boys, find … Read more