SM015 UPS 1 Flash Revision Chap 1_Question

Mathematics SM015
HCLim Math's Class



,
.

 Given ( )−36, − 52 , − 3, −5, 0,3.15, 25,5 2 . Determine the set of

(i) Rational numbers

(ii) Irrational Numbers

,
.

Find the solution of X Y  Z if X = (−7,1] , Y = [−5,3] and Z = ( − 9, −2)

,
.

What is the suitable value of a , b and c if [−3, a) x : −5  x  1, x  Z = b, c [−3, 2)

,
.

What is the representative of x : −2.0  x  3.4 , x  N in the number line form ?

What is the representative of x : −2.0  x  3.4 , x W in the number line form ?

,
.

 If A = x : −5  x  6, x  Z + and B = (−3,5) , find A  B

,
.

Given z = 2 − 6 i . Find

(i) modulus | z | .

(ii) z + z
(iii) z z

(iv) arg(z)

z(v) Polar form of

,
.

Simplify the followings :

(a) −3  −3

(b) −4 + i3 + i2

(c) 3 + 5i
2i

(d) 5 − i
1− 3i

, b) z = 2 − 5i
3−i
.

Find the modulus and argument of

a) z = (3 − 5i) + (i − 3)

,
.

Find the polar form of the complex number of following diagram

(a) Im

5 Re
-2

,
.

Find the polar form of the complex number of following diagram

(b) Im

Re
( 5 , -2 )

,
.

Find the polar form of the complex number of following diagram

(c) Im

Re

( -3 , -3 )

Mathematics Lecturer
Johore Matriculation College