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
probability class 10 extra questions (R.D. Sharma Level) Extra Practice Questions Probability (R.D. Sharma Level) 1. A card is drawn at random from a well-shuffled deck of 52 cards. Find the probability that the card drawn is (i) a face card or a spade (ii) neither a king nor a red queen. Total cards = … Read more
exercise 14.1 class 10 – Probability Exercise 14.1 Solutions Probability 1. Complete the following statements: (i) Probability of an event E + Probability of the event ‘not E’ = 1. (ii) The probability of an event that cannot happen is 0. Such an event is called an impossible event. (iii) The probability of an event … Read more
statistics class 10 extra questions (R.D. Sharma Level) Extra Practice Questions Statistics (R.D. Sharma Level) 1. The mean of the following frequency distribution is 50, but the frequencies f₁ and f₂ in class 20-40 and 60-80 are missing. Find the missing frequencies. Class 0-20 20-40 40-60 60-80 80-100 Total Frequency 17 f₁ 32 f₂ 19 … Read more
exercise 13.3 class 10 – Statistics Exercise 13.3 Solutions Statistics 1. The following frequency distribution gives the monthly consumption of electricity of 68 consumers of a locality. Find the median, mean and mode of the data and compare them. First, we create a table with cumulative frequency to find the median, and other columns for … Read more