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Question 1.Choose the correct alternative answer for the questions given below. [1 Mark each] i. Which one of the following is an irrational number? Answer:√5 ii. Which of the following is an irrational number? iii. Decimal expansion of which of the following is non-terminating recurring? Answer:(C) 3/11 iv. Every point on the number line represents … Read more

Question 1.Find the value.i. | 15 – 2|ii. | 4 – 9|iii. | 7| x | -4|Solution:i. |15 – 2| = |13| = 13ii. |4 – 9| = |-5| = 5iii. |7| x |- 4| = 7 x 4 = 28 Question 2.Solve. Solution:i. |3x – 5| = 1∴ 3x – 5 = 1 or … Read more

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