exercise 11.2 class 9th – Surface Areas and Volumes (Class 9) Exercise 11.2 Solutions (Class 9) Surface Areas and Volumes (Assume π = 22/7, unless stated otherwise) 1. Find the surface area of a sphere of radius: Formula: Surface Area of a sphere = 4πr² (i) 10.5 cm Area = 4 × (22/7) × (10.5)² … Read more
exercise 11.1 class 9th- Surface Areas and Volumes (Class 9) Exercise 11.1 Solutions (Class 9) Surface Areas and Volumes (Assume π = 22/7, unless stated otherwise) 1. Diameter of the base of a cone is 10.5 cm and its slant height is 10 cm. Find its curved surface area. Given: Diameter = 10.5 cm, Slant … Read more
class 9th exercise 12.1 – Statistics (Class 9) Exercise 12.1 Solutions (Class 9) Statistics 1. A survey conducted by an organisation for the cause of illness and death among the women between the ages 15 – 44 (in years) worldwide, found the following figures (in %): Causes Female fatality rate (%) Reproductive health conditions 31.8 … Read more
quadratic equation class 10 extra questions (R.D. Sharma Level) Extra Practice Questions Quadratic Equations (R.D. Sharma Level) 1. Solve for x: 4×2 – 4a2x + (a4 – b4) = 0 We use the quadratic formula: x = [-b ± √(b²-4ac)] / 2a. Here, the variable is x, and a,b,c are coefficients: A=4, B=-4a², C=(a⁴-b⁴). D … Read more
class 10 maths chapter 4 exercise 4.3 – Quadratic Equations Exercise 4.3 Solutions Quadratic Equations 1. Find the nature of the roots of the following quadratic equations. If the real roots exist, find them: We use the discriminant, D = b² – 4ac. • If D > 0, roots are real and distinct. • If … Read more
class 10 maths exercise 4.2 – Quadratic Equations Exercise 4.2 Solutions Quadratic Equations 1. Find the roots of the following quadratic equations by factorisation: (i) x² − 3x − 10 = 0 x2 – 5x + 2x – 10 = 0 x(x – 5) + 2(x – 5) = 0 (x – 5)(x + 2) … Read more
exercise 4.1 class 10 – Quadratic Equations Exercise 4.1 Solutions Quadratic Equations 1. Check whether the following are quadratic equations: An equation is quadratic if it can be written in the form ax² + bx + c = 0, where a ≠ 0. (i) (x + 1)² = 2(x − 3) x2 + 2x + … Read more
triangle class 10 extra questions (BPT and Similarity) Extra Practice Questions Triangles (BPT and Similarity) 1. In ΔABC, D and E are points on the sides AB and AC respectively. If AD = 6 cm, DB = 9 cm, AE = 8 cm, and EC = 12 cm, prove that DE || BC. To prove … Read more
class 10 maths chapter 6 exercise 6.2 – Triangles Exercise 6.2 Solutions Triangles 1. In Fig. 6.17, (i) and (ii), DE || BC. Find EC in (i) and AD in (ii). We use the Basic Proportionality Theorem (BPT), which states that if a line is drawn parallel to one side of a triangle to intersect … Read more
Solutions for Exercise 6.1 – Triangles Exercise 6.1 Solutions Triangles 1. Fill in the blanks using the correct word given in brackets: (i) All circles are similar. (congruent, similar) Reason: All circles have the same shape, regardless of their size (radius). Congruent circles must also have the same size. (ii) All squares are similar. (similar, … Read more