Sujeet Kumar

Question 1.Multiply. Solution: Question 2.Rationalize the denominator. Solution:

Question 1.State the order of the surds given below. Answer:i. 3, ii. 2, iii. 4, iv. 2, v. 3 Question 2.State which of the following are surds Justify. [2 Marks each] Answer:= 4, which is not an irrational number. Question 3.Classify the given pair of surds into like surds and unlike surds. [2 Marks each] … Read more

Question 1.Show that 4√2 is an irrational number.Solution: Alternate Proof:Let us assume that 4√2 is a rational number.So, we can find co-prime integers ‘a’ and ‘b’ (b ≠ 0) such thatSince, 32 divides a2, so 32 divides ‘a’ as well.So, we write a = 32c, where c is an integer.∴ a2 = (32c)2 … [Squaring both the … Read more

Question 1.Classify the decimal form of the given rational numbers into terminating and non-terminating recurring type. Solution:i. Denominator = 5 = 1 x 5Since, 5 is the only prime factor denominator.the decimal form of the rational number 13/5 will be terminating type. ii. Denominator = 11 = 1 x 11Since, the denominator is other than … Read more

Question 1.Choose the correct alternative answer for each of the following questions.i. M= {1, 3, 5}, N= {2, 4, 6}, then M ∩ N = ?(A) {1, 2, 3, 4, 5, 6}(B) {1, 3, 5}(C) φ(D) {2, 4, 6}Answer:(C) φ ii. P = {x | x is an odd natural number, 1< x ≤ 5}. … Read more

Question 1.If n(A) = 15, n(A ∪ B) = 29, n(A ∩ B) = 7, then n(B) = ?Solution:Here, n(A) = 15, n(A ∪ B) = 29, n(A ∩ B) = 7n(A ∪ B) = n(A) + n(B) – n(A ∩ B)∴ 29 = 15 + n(B) – 7∴ 29 – 15 + 7 = … Read more

Question 1.If A = {a, b, c, d, e}, B = {c, d, e, f}, C = {b, d}, D = {a, e}, then which of the following statements are true and which are false?i. C ⊆ 3ii. A ⊆ Diii. D ⊆ Biv. D ⊆ AV. B ⊆ Avi. C ⊆ AAnswer:i. C = … Read more

Chapter 1 Sets Practice Set 1.2 Question 1.Decide which of the following are equal sets and which are not ? Justify your answer.A= {x | 3x – 1 = 2}B = {x | x is a natural number but x is neither prime nor composite}C = {x | x e N, x < 2}Solution:A= {x … Read more

Chapter 1 Sets Practice Set 1.1 Question 1.Write the following sets in roster form.i. Set of even natural numbersii. Set of even prime numbers from 1 to 50iii. Set of negative integersiv. Seven basic sounds of a sargam (sur)Answer:i. A = { 2, 4, 6, 8,….}ii. 2 is the only even prime number∴ B = … Read more

Question 1.Complete the table. Answer: Question 2.Write notes.a. Disaster Management Authority.Answer:Disaster Management Authority is the body that works at the level of government from national level to village level. This work is basically about management of any disaster and tackling the problems of the affected people. At National level there is National Disaster Management Authority … Read more