SSLC (English Medium) कक्षा ९ - Tamil Nadu Board of Secondary Education Question Bank Solutions

Verify A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C) using Venn diagrams

If A = {b, c, e, g, h}, B = {a, c, d, g, i}, and C = {a, d, e, g, h}, then show that A – (B ∩ C) = (A – B) ∪ (A – C)

If A = {x : x = 6n, n ∈ W and n < 6}, B = {x : x = 2n, n ∈ N and 2 < n ≤ 9} and C = {x : x = 3n, n ∈ N and 4 ≤ n < 10}, then show that A – (B ∩ C) = (A – B) ∪ (A – C)

If A = {– 2, 0, 1, 3, 5}, B = {–1, 0, 2, 5, 6} and C = {–1, 2, 5, 6, 7}, then show that A – (B ∪ C) = (A – B) ∩ (A – C)

If A = `{y : y = ("a"+1)/2, "a" ∈ "W" and "a" ≤ 5}`, B = `{y : y = (2"n" – 1)/2, "n" ∈ "W" and "n" < 5}` and C = `{-1, −1/2, 1, 3/2, 2}` then show that A – (B ∪ C) = (A – B) ∩ (A – C)

Verify A – (B ∩ C) = (A – B) ∪ (A – C) using Venn diagrams

If U = {4, 7, 8, 10, 11, 12, 15, 16}, A = {7, 8, 11, 12} and B = {4, 8, 12, 15}, then verify De Morgan’s Laws for complementation

Verify (A ∩ B)’ = A’ ∪ B’ using Venn diagrams

Express `1/13` in decimal form. Find the length of the period of decimal

Express the rational number `1/33` in recurring decimal form by using the recurring decimal expansion of `1/11`. Hence write `71/33` in recurring decimal form.

Express the following decimal expression into rational number

`0. bar(24)`

Express the following decimal expression into rational number

`2. bar(327)`

Express the following decimal expression into rational number

– 5.132

Express the following decimal expression into rational number

`3.1bar(7)`

Express the following decimal expression into rational number

`17. 2bar(15)`

Express the following decimal expression into rational number `-21.213bar(7)`.

The type of the polynomial 4 – 3x³ is

Cubic polynomial may have maximum of ___________ linear factors

Find the value of the following:

sin 49°

Find the value of the following:

cos 74° 39′