Class 11 Maths Guess Paper 2026
CLASS – 11th (Arts)
Subject – Mathematics
GUESS PAPER – 2026
Section – A
Each question carries 1 mark.
20 × 1 = 20 Marks
1) If n(A) = 3 then no. of subsets of A are :
(a) 8 (b) 6 (c) 4 (d) None of these
2) If A = {1,2,3} and B = {2,3,4} then A – B is :
(a) {1,3,4} (b) {1} (c) {1,2,3,4} (d) {3,4}
3) Let A = {2,4,6,8} and B = {6,8,10,12} then A ∩ B is :
(a) {2,4} (b) {6,8} (c) {1,3} (d) {4,2}
4) If f(x) = sin 2x then f(30°) is :
(a) √3/2 (b) 1/2 (c) 1 (d) 0
5) If z = 2 + 3i then |z| equal to :
(a) 5 (b) √5 (c) √13 (d) 13
6) Solution set of x ≤ 4 is :
(a) (-∞,4) (b) (4,∞) (c) (-∞,4] (d) [4,∞)
7) Total number of terms in expansion of (a + b)n are :
(a) n (b) n+1 (c) n-1 (d) None of these
8) Arithmetic mean between 8 and 16 is :
(a) 8 (b) 12 (c) 16 (d) 24
9) Centre of the circle (x – 5)2 + (y – 3)2 = 36 is :
(a) (-5,3) (b) (5,3) (c) (5,-3) (d) (-5,-3)
10) If m₁, m₂ are slopes of two perpendicular lines, then :
(a) m₁ = m₂ (b) m₁m₂ = 1 (c) m₁m₂ = -1 (d) None
11) lim (sin x / x) as x → 0 is equal to :
(a) 0 (b) 1 (c) -1 (d) 2
12) lim (xn – an) / (x – a) as x → a is :
(a) an (b) nan (c) nan-1 (d) nan
13) Number of elements in the sample space of throwing two dice are :
(a) 36 (b) 12 (c) 6 (d) 24
14) Probability of an impossible event is :
(a) 0 (b) 1 (c) -1 (d) 2
15) If P(E) = 1/5 then P(not E) is equal to :
(a) 3/5 (b) 1/5 (c) 4/5 (d) 2/5
16) If A = {1,2,3,4,5} then insert the symbol ∈ or ∉ in the blank: 7 ___ A
(a) ∈ (b) ∉ (c) ⊂ (d) =
17) Domain of function f(x) = 1 / (x – 2) is :
(a) {2} (b) R (c) {-2,2} (d) R – {2}
18) Radius of circle x² + y² = 2 is :
(a) 2 (b) √2 (c) 4 (d) None of these
19) Any point in yz-plane is :
(a) (x,0,0) (b) (x,y,z) (c) (0,y,z) (d) None of these
20) If variance = 25 then standard deviation is :
(a) 12.5 (b) 5 (c) 50 (d) 625
Section – B
Each question carries 2 marks.
Q21. Write the set A – The set of all letters in the word TRIGONOMETRY in roster form.
Q22. Express i9 + i19 in the form a + ib.
Q23. Expand the expression (1 – 2x)5.
Q24. Find the equation of the line through (-2,3) with slope -4.
Q25. Find the equation of the circle with centre (0,2) and radius 2.
Q26. Find the derivative of x3 – 27x2 + 1.
Q27. If A = {1,2} then write all subsets of set A.
Q28. Find multiplicative inverse of 3 – 4i.
Section – C
Each question carries 4 marks.
7 × 4 = 28 Marks
Q29. If (x/3 + 1 , y – 2/3) = (5/3 , 1/3), find the values of x and y.
Q30. Write down all the subsets of {1,2,3}.
Q31. Write first four terms of the sequence an = n / (n + 1).
Q32. Write the formulaes :
(i) nth term of a G.P.
(ii) Sum of n terms of a G.P.
(iii) Arithmetic mean (A.M)
(iv) Geometric mean (G.M)
Q33. Find the distance between P (1, -3, 4) and Q (-4, 1, 2).
Q34. Evaluate : lim (sin ax / sin bx) as x → 0, (a, b ≠ 0).
Q35. A die is rolled. Let E be the event "die shows 4" and F the event "die shows even number". Are E and F mutually exclusive?
Section – D
Each question carries 6 marks.
3 × 6 = 18 Marks
Q36. Let U = {1,2,3,4,5,6,7,8,9}, A = {1,2,3,4}, B = {2,4,6,8} and C = {3,4,5,6}. Find :
(i) A'
(ii) B'
(iii) (A ∪ C)'
(iv) (A ∩ B)'
(v) (B – C)'
(vi) (C)'
OR
If sin x = 3/5, x lies in second quadrant, then find other five trigonometric functions.
Q37. In a class of 60 students, 30 opted NCC, 32 opted NSS and 24 opted both NCC and NSS. If one of them is selected at random, find the probability that :
(i) student opted NCC or NSS
(ii) student opted neither NCC nor NSS
(iii) student opted NSS but not NCC
OR
Calculate mean, variance and standard deviation of the following distribution :
Class : 30–40, 40–50, 50–60, 60–70, 70–80, 80–90, 90–100
Frequency : 3, 7, 12, 15, 8, 3, 2
Q38. Find the mean, variance and standard deviation for the following frequency distribution :
Classes : 0–10, 10–20, 20–30, 30–40, 40–50
Frequencies : 5, 8, 15, 16, 6
