RELATION & FUNCTION DPP CLASS 11
RELATION & FUNCTION
1. If U = {1,2,3,4,5,6,7,8,93}, A = {2,4,6,8} and B = {2,3,5,7}
verify that (i) (AUB)' = A' ∩ B' (ii) (A ∩ B)' = A' ∪ B'
2. Draw Venn diagram each of the following
(i) (AUB)' (ii) A' ∩ B' (iii) (A ∩ B)'
3. In a survey of 400 students in a school, 100 were listed as taking
apple juice, 150 taking orange juice and 75 were listed taking both.
How many students were taking neither apple juice nor orange juice.
4. There are 200 individuals with a skin disorder, 120 has been exposed
to the chemical c₁, 50 to chemical c₂ and 30 both c₁ and c₂ find
(i) chemical c₁ but not c₂ (ii) chemical c₂ not c₁
(iii) chemical c₁ or c₂
5. In a group of 70 people, 37 like coffee, 52 like tea and each person
likes at least one of the two drinks. how many apppeople like both.
6. In a survey of 60 People, It was found that 25 people read newspaper
H, 26 read T, 26 read I, 9 read both H and I, 11 read Hand T, 8 read
both T and I, 3 read all three find
(i) Number of people who read atleast one of the paper
(ii) Number of people who read exactly one.
7. In a survey it is found that 21 like product A, 26 like B, 29 like C If 14
like A and B, 12 like 'c' and 'A, 14 like B and c, 8 like all 3 find
how many like c only.
8. If (x/3+1, y-2/3) = (5/3, 1/2) find x & y.
9. Write the relation R = {(x, x³): x is a prime number less than 10}
in roster form.
10. Find domain of (i) f(x) = -|x| (ii) f(x) = √(9-x²)
(iii) f(x) = (x²+x+1)/(x²-8x+12)
and Range
11. Find [ f(1.1) - f(1) ] / |1| - 1 f(x) = x² .
12. Find domain and range of
(i) f(x) = √x-1 (ii) f(x) = |x-1|.
13. Find domain of
(i) f(x) = √9-x²
(ii) f(x) = 1/ x²-2x-3
14. Find range of
(i) f(x) = -|x|
(ii) f(x) = |x|
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