SEE Optional Mathematics -Revision

1. क
े शवप्रसाद पराजुली
keshabprasadparajuli@gmail.com

2. What is the remainder when
(x-a+b) divides
?
)
(
)
(
2 2
2
b
a
x
b
a
x 




3. 0

4. What is the y-coordinate of the
function y= sinx+cosx?

5. 1

6. Find the inverse of f(x)=sinx.

7. x
1
sin

8. What is the value of













3
1
2
3
5
3
)
(
)
(
lim
3
x
when
x
x
when
x
x
when
x
x
f
if
x
f
x

9. 5

10. In an inversion transformation if
P’ (2,3) is image of P(x,y) and
r=5 units is radius of inversion
circle with center O, find the
values of x and y.

11. 50/13 and 75/13
For
2
2
2
2
2
2
&
y
x
y
r
y
x
x
r



12. What is equal to 1+sin40?
above
of
All
d
c
b
a
)
20
tan
1
)
20
tan
1
(
)
)
20
cos
20
)(sin
20
cos
20
sin
2
1
)
2
2
2





13. d)

14. What is the value of
1
lim


 n
n
n

15. 1

16. If a, a+d, a+2d, … be any AS then
i) a+k, a+d+k, a+2d+k,…. is also AS
ii) a-k, a+d-k, a+2d-k, … is also AS
iii) ka, k(a+d), k(a+2d),…is also AS
iv) All of above are true

17. iv)

18. What are the n arithmetic
means between a and b?
above
of
All
iv
n
nb
a
n
b
n
a
n
b
na
iii
n
nb
a
n
b
n
a
n
b
na
ii
n
nb
a
n
b
n
a
n
b
na
i
)
1
,...,
1
2
)
1
(
,
1
)
1
,...,
1
2
)
1
(
,
1
)
1
,...,
1
2
)
1
(
,
1
)






















19. i)

20. What is the value of H if
Sequence
Arithmetic
in
are
b
H
a
1
,
1
,
1

21. (2ab)/(a+b)

22. What is the vertex of the
parabola
bx
ax
y 
 2

23. 






 

a
b
a
b
4
,
2
2

24. When does the general
equation of second degree
represent a circle?

25. a=b and h=0

26. What are the points (x1,y1) and
(x2,y2) in the equation of circle
(x-x1)(x-x2)+(y-y1)(y-y2)=0

27. Endpoints of a diameter

28. What is true for P(a,b) outside
the circle
above
of
Noone
iv
c
fb
ga
b
a
iii
c
fb
ga
b
a
ii
c
fb
ga
b
a
i
c
fy
gx
y
x
)
0
2
2
)
0
2
2
)
0
2
2
)
?
0
2
2
2
2
2
2
2
2
2
2





















29. ii)

30. What is the determinant of the
square matrix  
3


A

31. -3

32. What is the value of
2
3
1
0
3
1
3
2
0
2
1
2
2
1
1 


33. 0

34. What is the value of the
determinant if two of its rows
are equal?

35. 0

36. What is the determinant of
matrix B if the determinant of
matrix A is m?


















d
c
kb
ka
B
d
c
b
a
A &

37. km

38. What is the determinant of
matrix B if the determinant of
matrix A is m?







 











d
c
d
b
c
a
B
d
c
b
a
A &

39. m

40. Which one is the formula to
calculate standard deviation by
using step deviation method?
h
n
d
n
d
iv
n
d
n
d
iii
n
x
n
x
ii
n
x
x
i
*
'
'
)
)
)
)
(
)
2
2
2
2
2
2
2





 







 







 





41. iv)

42. What is the unit vector along
the vector
j
i


4
2 

43. 5
2
5
j
i




44. Thanks!