For revision of SEE students

1. क
े शवप्रसाद पराजुली
keshabprasadparajuli@gmail.com

2. Who created and developed a
mathematical theory of sets?

3. George Cantor
(1845-1918)

4. What kind of set is this?
{the highest mountain on the
earth}

5. Singleton set

6. What kind of subset is A
if B
A
and
B
A 


7. Proper subset

8. What is the additive inverse of
(a+b)?

9. -(a+b)

10. ,
, R
b
a 
 exactly one of the
relation holds: a<b, a=b, a>b
What is this axiom called?

11. Trichotomy

12. If R is a relation on A, and
What is the relation R called?
R
x
y
R
y
x 

 )
,
(
)
,
(

13. Symmetric

14. If f(x)=x2-3
What is the value of f-1(1)?

15. 2


16. If f(x)=x+1 and g(x)=x2
What is the value of fog?

17. x2+1

18. What is the domain of the
function f(x)=
2
1

x

19. R-{2}

20. What is the value of x if
x
x









8
2
1
1
2

21. 1

22. What is the x-intercept of
y= 2x-8?

23. 4

24. What is the general term of the
sequence 4, 10, 28, 82,….?

25. 3n+1

26. What is the sum to infinity of
the GP
,....
64
5
,
16
5
,
4
5 


27. -1

28. What kind of matrix is A=[aij]?






j
i
when
j
i
when
aij
1
0

29. Unit/Identity matrix

30. What is the inverse of






2
1
0
4

31. 










2
1
8
1
0
4
1

32. What is the value of  90
1


33. -1

34. What is the distance between
the parallel lines 3x+2y=6 and
3x+2y=12?

35. units
13
6

36. What is the single equation
represented by the lines 2x=y
and x+y+1=0?

37. 2x2+xy-y2+2x-y=0

38. What is the equation of the
tangent to the circle x2+y2=5 at
the point (2,1)?

39. 2x+y=5

40. What is the equation of the
circle whose center is at (-4,2)
and is tangent to the line x-y=3

41. 2(x2+y2)+16x-8y-41=0

42. Thanks!