Q-paper-1_maths_ch-1_std-9_gseb

QUESTION PAPER 1 – 2009 Class – IX (GSEB) Subject - Mathematics (Ch-1, Set Operations) Time: 45 minutes

Max. Marks: 20

Date: 1) Define a) Subset & b) Union of sets. [1] 2) Explain Universal set with suitable example. [1] 3) Fill in the blanks. [2] ∪ φ 1) A A’ = ………. (U, , A) 2) (A ∩ B) ……… B ( ⊂ , ⊄ , ∈ ) 3) If A ⊂ B, then A ∪ B = ………… (A, B, U, φ ) 4) (X ∪ Y) ∩ (X ∪ Y’) = ………….. ( φ , X, Y, U) 4) State true or false with reasons/explanations. [2] 1) (A ∩ B) ⊂ (A ∪ B) 2) A ∩ (B ∪ C) = (A ∪ B) ∩ (A ∪ C) 5) If A ∩ B = φ , what can be said about A and B? [1] 6) Verify (A’ ∩ B’)’ = A ∪ B by taking U= {1, 2, 3 …10}, A= {2x | x ∈ N, 1 ≤ x ≤ 4}, B={x | x is a factor of 8} [3] 7) Using sets in Q No. 6 verify any one of the DeMorgan’s laws. [2] 8) For X = {5, 6, 7}, Y = {2, 3, 5}, Z = {3, 5, 6, 7} and U = {x ∈ N | 1 ≤ x ≤ 10}, verify that Union is distributive over intersection and also draw a Venn diagram. [3] 9) [3] U

B

A 4

12

11

43 3 5 15

7

C

From the above Venn diagram write (A ∪ B) ∩ C, A’ ∩ B’ and (A ∩ B) ∪ (B ∩ C). SAUMIL S. SHARMA (M) +919879674267 [email protected]

10) Using sets in Q No. 8 find out Y ∩ Z’ and (X ∪ Y)’ ∩ Z. [2]

SAUMIL S. SHARMA (M) +919879674267 [email protected]