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1st Year Mathematics Chapter 1 Test1st Year · Mathematics · Punjab (PTB)
Q1. Multiple choice questions (Attempt all · 10 × 1 = 10)
Multiplicative inverse of (1,0) is:
If
If Z is complex number, then
is:
For a complex number (0,1)i = ......
If
Argument
is:
For any
is equivalent to ......:
Polar form of complex number
If
is the cube root of unity then
A complex number
can also be expressed as:
Q2. Short questions (Attempt any 6 of 8 · 6 × 2 = 12)
If
then find: z1+z2
If
then find the following and express the result into x+
y form: z1+z2
Find the product of
.
Solve the following equation: z3-5z2+z-5=0
Plot the following points:
Find the three cube roots of: -125
If
, then evaluate the following:
Solve the following equation: z3+z2+z+1=0
Q3. Long questions (Attempt any 2 of 3 · 2 × 4 = 8)
Evaluate:
If
is an imaginary cube root of unity, prove that
If
is a cube root of unity, prove that