#### 3. If n(A) = 10, n(B) = 15 and n(A ∩ B) = 2, then n(A ∪ B) is

#### 4. The smallest value of |z|^{2} + |z – 3|^{2} + |z – 6i|^{2} where z ε C occurs for z equal to

#### 5. Value of sin^{2} 5° + sin^{2} 10° + sin^{2} 15° + … + sin^{2} 85° is

#### 6. Range of f(x) = sgn(x^{2} – 2x + 4) is

#### PARAGRAPH FOR Q. 8 & Q.9

#### ‘Consider the letters of the word MEDITATION’.

#### 12. A : If n(A) = 6, n(B) = 5, n(A ∩B) = 2, then n(A ∪B) is 9.

R : n(A ∪B) = n(A) + n(B) – n(A ∩B).

#### 14. The A. M. of a set of 50 numbers is 38. If two numbers of set, namely 55 and 45 are discarded, then A.M. of remaining set of numbers is

#### 15. Let α and β be the zeros of f(x) = ax^{2} + bx + c, a ≠ 0 and Δ = b2 – 4ac. If α+ β,α^{2} + β^{2} and
α^{3} + β^{3} are in G.P., then