On this page we have uploaded MBOSE HSSLC Class 11 Question Paper for Maths released by www.mbose.in. The question paper provided here from Meghalaya State Board. Download the 2020 question paper pdf as well.
Meghalaya State Board has published subject wise question paper for this year Class 11 students in its official portal www.mbose.in. Here we have published Class 11 MBOSE question paper 2020-21 for Maths subject. For more information regarding Meghalaya HSSLC Class 11 2020 Exam Date, Exam Pattern, Time, Date, How to prepare follow our website.
Meghalaya Board (MBOSE) HSSLC Class 11 Question Papers – Maths Subject
Section – A
(1) If U = set of natural numbers and A = {x : 2x + 5 = 9}, Find A’.
(2) Write the power of A = {1, 2}
(3) Find the slope of the line passing through the points (3, – 2) and (–1, 4).
(4) Find the general solutions of sin x = √3/2
(5) One card is drawn from a well-shuffled deck of 52 cards. If its outcome are equally likely, calculate the probability of a diamond card.
(6) If nC9 = nC8, find nC15.
(7) Let A = {1, 2, 3, ……, 14}. Define a relation R from A to A by R = {(x, y) : 3x – y = 0, where x, y ∈ A}. Write down its domain.
(8) If (x/3 + 1, y – 2/3) = (5/3, 1/3) find the value of x and y.
(9) Find the middle term in the expansion of (x + 1/x)6
10.) Find the component of the compound statement. “All integer are positive or negative”.
(11) Solve the equation 2x2 + x + 1 = 0.
(12) Solve for x, if 3x + 8 > 2 when x is an even integer.
(13) List all the element of the following set
A = {x:x is an integer and – 1/2 < x < 9/2}
(14) Convert 108° into radian measure.
(15) Find the intercepts cut off by the straight line 3x + 2y = 6 from the co-ordinate axes.
(16) Given statement
P: Two lines intersect at a point or they are parallel.
Check whether the given statement is true or false.
(18) Find the number of words that could be formed with the letters of the word “COLLEGE”.
(19) If 2/7, x, 7/2 are in Geometric progression, find the value of x.
(20) Find the median of the following raw data:
2, 4, 5, 7, 10, 8, 12, 17, 19
Section – B
(21) Find the value of tan 15°
(22) If 1/8! + 1/9! = x/10!, find x.
(23) Find the equation of the line parallel to the line 3x – 4y + 2 = 0 and passing through the point (-2, 3).
(24) Expand the expression (2/x – x/2)5
(25) Find the co-ordinates of the point which divides the line segment joining the points (5, 4, 2) and (-1, -2, 4) internally in the ratio 3:4
(26) Give P (A) = 3/5 and P (B) = 1/5. Find P (A ∪ B) if A and B are mutually exclusive events.
Section – C
(27) Let A = {1, 2, 3, 4, 6}. Let R be the relation on A defined by R = {(a, b) : a, b ∈ A, b is exactly divisible by a}.
Write R in roaster form and find the domain and range of R.
(28) If (x + iy)3 = u + iv, then show that u/x + v/y = 4 (x2 – y2).
Or
Convert the complex number z = -1 + I in the polar form.
(29) Find the general solutions of the equation cos 3x + cos x – cos 2x = 0
Or
Show that
tan 3x tan 2x tan x = tan 3x – tan 2x – tan x.
(30) A group consists of 4 girls and 7 boys. In how many ways can a team of 5 members be selected if the team has atleast one boy and one girl.
Or
By the principle of mathematical induction prove that 1 + 3 + 32 + …… + 3n-1 = (3n-1)/2
(31) Find the equation of the circle with radius 5 whose centre lies on the x–axis and passes through the point (2, 3).
Find the co-ordinates of the foci, the vertices, the length of the major axis, the eccentricity and the length of latus rectum of the ellipse 16x2 + y2 = 16
(32) Find the derivative of tan x from 1st principle.
Section – D
(33) In a survey of 60 people, it was found that 25 people read newspaper H, 26 read newspaper T, 26 read newspaper I, 9 read both H and I, 11 read both H and T, 8 read both T and I, 3 read all three newspapers. Find
(i) The number of people who read at least one of the newspaper.
(ii) The number of people who read exactly one newspaper.
(34) The sum of n terms of two arithmetic progressions are in the ratio 5n + 4 : 9n + 6. Find the ratio of their 18th terms.
Or
Sum of the first p, q and r terms of an A.P are a, b, and c respectively.
Prove that a/p (q – r) + b/q (r – p) + c/r (p – q) = 0
(35) Find ‘a’ if the 17th and 18th terms of the expansion (x + a)50 are equal.
(36) The mean of 5 observation is 4.4 and their variance is 8.24. If three of the observations are 1, 2 and 6, find the other two observation.
Or
Calculate mean, variance and standard deviation for the following distribution.
Classes |
30-40 | 40-50 | 50-60 | 70-80 | 80-90 | 90-100 |
Frequency | 3 | 7 | 12 | 8 | 3 |
2 |