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 12.1 Exercise 12.1 Solutions Surface Areas and Volumes (Unless stated otherwise, take π = 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
trigonometry class 10 extra questions (R.D. Sharma Level) Extra Practice Questions Trigonometry (R.D. Sharma Level) 1. If 5 tan α = 4, show that 5 sin α − 3 cos α5 sin α + 2 cos α = 16. Given: tan α = 4/5. Divide the numerator and denominator of the expression by cos α: … Read more
trigonometry class 10 exercise 8.3 solutions Trigonometry class 10 exercise 8.3 solutions Trigonometric Identities 1. Express the trigonometric ratios sin A, sec A and tan A in terms of cot A. 1. tan A: tan A = 1cot A 2. sec A: Using the identity sec2A = 1 + tan2A: sec2A = 1 + (1cot … Read more
trigonometry class 10 exercise 8.2 solutions Exercise 8.2 Solutions Trigonometric Ratios of Specific Angles 1. Evaluate the following: (i) sin 60° cos 30° + sin 30° cos 60° Substituting the values: = (√32) × (√32) + (12) × (12) = 34 + 14 = 44 = 1. (ii) 2 tan2 45° + cos2 30° − … Read more
class 10 trigonometry exercise 8.1 Class 10 trigonometry exercise 8.1 Introduction to Trigonometry 1. In ΔABC, right-angled at B, AB = 24 cm, BC = 7 cm. Determine : (i) sin A, cos A (ii) sin C, cos C Given: A right-angled triangle ABC, with the right angle at B. AB = 24 cm and … Read more