PSEB CLASS 11 MATHEMATICS GUESS PAPER MARCH 2026 SET 1

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) na^n-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 a_n = n / (n + 1).

Q32. Write the formulaes :
(i) n^th 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