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XI Maths Sample Paper, Set-10
Instructions  1. Questions 1 to 10 carry 1 mark each.2. Questions 11 to 22 carry 4 marks each.3. Questions 23 to 29 carry 6 marks each. 1.  Write the following set in the set-builder form: {5, 25, 125, 625}. Sol. It can be seen that 5 = 51, 25 = 52, 125 = 53, and 625 = 54. ∴ {5, 25, 125, 625} = {x: x = 5n, n ∈ N and 1 ≤ n ≤ 4} 2. Let A and...

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XI Maths Sample Paper, Set-9
Instructions  1. Questions 1 to 10 carry 1 mark each. 2. Questions 11 to 22 carry 4 marks each. 3. Questions 23 to 29 carry 6 marks each. 1. If X = {a, b, c, d} and Y = {f, b, d, g}, find (i) X – Y(ii) Y – X(iii) X ∩ Y Sol. (i) X – Y = {a, c} (ii) Y – X = {f, g} (iii) X ∩ Y = {b, d} 2. The figu...

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XI Maths Sample Paper, Set-8
Instructions 1. Questions 1 to 10 carry 1 mark each.2. Questions 11 to 22 carry 4 marks each.3. Questions 23 to 29 carry 6 marks each. 1.  Write down all the subsets of the following set: {1, 2, 3}. Sol. The subsets of {1, 2, 3} are Φ, {1}, {2}, {3}, {1, 2}, {2, 3}, {1, 3}, and {1, 2, 3} 2. Let A = {1, 2, 3, 4} and B = {10, 12, 13, 14, 20}. Whether f: A → B defined by ...

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XI Maths Sample Paper, Set-7
Instructions 1. Questions 1 to 10 carry 1 mark each.2. Questions 11 to 22 carry 4 marks each.3. Questions 23 to 29 carry 6 marks each. 1.  Write the set A = {x : x ∈ N and x2 < 25} in roster form. Sol. A = {1, 2, 3, 4} 2. If A  B = {(x, 1), (y, 2), (z, 1), (x, 2), (z, 2), (y, 1)}, find A and B.   Sol.  A = {x, y, z} and B = {1, 2} 3. If  ...

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XI Maths Sample Paper, Set-6
Instructions 1. Questions 1 to 10 carry 1 mark each.2. Questions 11 to 22 carry 4 marks each.3. Questions 23 to 29 carry 6 marks each. 1. If A = {x : x is a prime number  x N}, then find Ac. Sol. Ac = {x : x is not a prime number x N} 2. If A = {1, 2, 3, 4, 5, 6, 7, 8, 9}. Define a relation on a set A by R = {(x, y): 3x - y = 0, where x, y ∈ A}. Show this rela...

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XI Maths Sample Paper, Set-5
Instructions 1. Questions 1 to 10 carry 1 mark each.2. Questions 11 to 22 carry 4 marks each.3. Questions 23 to 29 carry 6 marks each. 1. Write the set {3, 6, 9, 12….} in set builder form.  Sol. A = {3x : x ∈ N} 2. Let A = {1, 2, 3} and B = {1, 4}. Find A x B and B x A. Sol. A x B = (1, 1), (1, 4), (2, 1), (2, 4), (3, 1), (3, 4)         B x...

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XI Maths Sample Paper, Set-4
Instructions 1. Questions 1 to 10 carry 1 mark each.2. Questions 11 to 22 carry 4 marks each.3. Questions 23 to 29 carry 6 marks each. 1. Find the value of sin 150° + cos 300°. Sol. sin 150° + cos 300°= sin(180° - 30°) + cos(360° - 60°) = sin 30° + cos 60° 2. If cos x = cos y, then x = ? Sol.  cos x = cos y⇒     ...

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XI Maths Sample Paper, Set-3
Instructions 1. Questions 1 to 10 carry 1 mark each.2. Questions 11 to 22 carry 4 marks each.3. Questions 23 to 29 carry 6 marks each. 1. Let f = {(1,1),(2,3),(0,-1),(-1,-3)} be a linear function from Z into Z . Find f(x). Sol.  Let f(x) = ax + b. Also (0,-1) and (1,1)  R         f(0) = 0 + b = b ,    f(1) = a + b Thus  -1 = f...

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XI Maths Sample Paper, Set-2
Instructions 1. Questions 1 to 10 carry 1 mark each.2. Questions 11 to 22 carry 4 marks each.3. Questions 23 to 29 carry 6 marks each. 1. Evaluate : sin 130° cos 110° + cos 130° sin 110°. Sol. sin 130° cos 110° + cos 130° sin 110° =  sin(130° + 110°) = sin 240° = sin (180° + 60°) = - sin 60° = 2. Simplify : Sol. 3. Let U =...

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XI Maths Sample Paper, Set-1
Instructions 1. Questions 1 to 10 carry 1 mark each.2. Questions 11 to 22 carry 4 marks each.3. Questions 23 to 29 carry 6 marks each. Find f(-1) , f(3). Sol. f(-1) = -1 + 3 = 2.         f(3) = 4(3) – 2 = 10. 2. If , then find the value of . Sol. 3. Find the value of cos 55° + cos 125° + cos 300°. Sol. cos 55° + cos 125° + co...

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