MBOSE Class 11 Question Paper 2020 for Maths

Total No. of Printed Pages ––7 (2)
2. Write the power set of A  {1, 2} .
2020

MATHEMATICS 3. Find the slope of the line passing through the points
(3, – 2) and (–1, 4).
Full Marks : 80

Time : 3 hours 3
4. Find the general solutions of sin x  .
2
General Instructions :
1. All questions are compulsory. 5. One card is drawn from a well-shuffled deck of 52
cards. If its outcome are equally likely, calculate the
2. The question paper consists of 36 questions divided into probability of a diamond card.
four Sections A, B, C and D.
Section A consists of 20 questions of 1 mark each.
6. If n C9 n C8 , Find n C15 .
Section B consists of 6 questions of 2 marks each.
Section C consists of 6 questions of 4 marks each.
7. Let A = { 1, 2, 3, ........, 14 }. Define a relation R from A
Section D consists of 4 questions of 6 marks each.
to A by R = { (x, y ) : 3x – y = 0, where x, y  A}.

3. There is no overall choice. However there will be internal Write down its domain.
choices for 4 marks questions and 6 marks questions.

4. Use of calculator is not permitted. x 2  5 1 
8. If   1, y   ,  find the value of x and y.
3 3  3 3 

6
 1
SECTION – A 9. Find the middle term in the expansion of  x   .
 x

1. If U=set of natural numbers and
10. Find the component of the compound statement.
A  x : 2x  5  9. Find A.
“All integer are positive or negative”.

HS/XI/A. Sc. Com/M/20 HS/XI/A. Sc. Com/M/20

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11. Solve the equation 2x 2  x  1  0 . 20. Find the median of the following raw data :
2, 4, 5, 7, 10, 8, 12, 17, 19.

12. Solve for x, if 3x + 8  2 when x is an even integer.
SECTION – B
13. List all the elements of the following set
21. Find the value of tan 150
 1 9
A=  x : x is an integer and   x  
 2 2 1 1 x
22. If + = , find x.
8! 9! 10!
14. Convert 108o into radian measure.
23. Find the equation of the line parallel to the line
3x  4 y  2  0 and passing through the point (– 2, 3).
15. Find the intercepts cut off by the straight line
5
3x  2y  6 from the co-ordinate axes.  2 x
24. Expand the expression    .
 x 2

16. Given statement 25. Find the co-ordinates of the point which divides the
p : Two lines intersect at a point or they are
line segment joining the points (5, 4, 2) and (–1, –2, 4)
parallel.
internally in the ratio 3 : 4.
Check whether the given statement is true or false.
3 1
26. Given P(A)  and P(B)  . Find P(A  B) if A and B
5 5
( x  1) 3  1 are mutually exclusive events.
17. Evaluate lim
x 0 x

18. Find the number of words that could be formed with SECTION – C
the letters of the word “COLLEGE”.
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 exaclty divisible
2 7 by a }.
19. If , x, are in Geometric progression, find the value
7 2 Write R in roster form and find the domain and range
of x. of R.

HS/XI/A. Sc. Com/M/20 HS/XI/A. Sc. Com/M/20

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u v Or
28. If (x  iy )3  u  iv , then show that   4( x 2  y 2 ) .
x y Find the co-ordinates of the foci, the vertices, the length of
the major axis, the eccentricity and the length of latus
Or rectum of the ellipse 16 x 2  y 2  16.
Convert the complex number z  1  i in the polar form.

32. Find the derivative of tan x from 1st principle.

29. Find the general solutions of the equation
cos 3x  cos x  cos 2x  0 SECTION – D

33. In a survey of 60 people, it was found that 25 people read
Or 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
Show that
and I, 3 read all three newspapers. Find
tan 3 x tan 2 x tan x  tan 3 x  tan 2 x  tan x.
(i) the number of people who read at least one of the
newspaper.

30. A group consists of 4 girls and 7 boys. In how many (ii) the number of people who read exactly one newspaper.
ways can a team of 5 members be selected if the team
has atleast one boy and one girl.

Or 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.
By the principle of mathematical induction prove that
Or
(3n  1)
1  3  32  ........  3n 1  .
2 Sum of the first p, q and r terms of an A.P are a, b, and c
respectively.
31. Find the equation of the circle with radius 5 whose
centre lies on the x–axis and passes through the point a b c
Prove that (q  r )  (r  p)  ( p  q )  0.
(2, 3). p q r

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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

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