Chapter 1 Problem Set
Math Part-I Chapter-I "Number Systems"
1.Which of the followings are Rationales and Irrationales:
2.Point out the Imaginary numbers:
3.Find the conjugates:
4.Find Arguments:
5. If ''z^3 = 1'' and ''r = 1'' find ''x''.
6. If "z^4 = i" and "r = 1" find "x".
- (a) 2/sq.root 3 .
- (b)3/sq.root 4.
- (c) sq.root 9/sq.root 4.
- (d) 1/sq.root 5.
- (e) -4.
- (f) 1.141414...
- (g)3.21365423123.
2.Point out the Imaginary numbers:
- (a) 2+3i.
- (b) -3i.
- (c) -3+2i.
- (d) -i /3.
- (e) 2/3.
3.Find the conjugates:
- (a) -2.
- (b) 3-2i.
- (c) 3i+2.
- (d) -20i.
4.Find Arguments:
- (a) i.
- (b) 1-i.
- (c) 2.
- (d) -3
5. If ''z^3 = 1'' and ''r = 1'' find ''x''.
6. If "z^4 = i" and "r = 1" find "x".
Solution Set :
1. Rationales are (b)(c)(e)(f).Others are Irrationals.
2. Imaginary are(b)(d).Others are complex.
3. -2 , 3+2i , -3i+2 , 20i.
4. pi/2 , 7pi/4 , 0 , 0.
5. 0.
6. pi/8.
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