Mathematics FA Part 1 Online Test With Answers

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Mathematics FA Part 1 Online Test

Sr. # Questions Answers Choice
1 A is superset of B B is superset of A A is subset of B A is equivalent to B
2
3 0 i -i 1
4 If z = x + i y = r (cos Θ + i sin Θ), then arg z is: tan Θ cos<sup>2</sup>Θ + sin<sup>2</sup>Θ r Θ
5 Factors of x2 + y2 are: (x + iy) (x - iy) (x + y) (x - y) (x + y) (x + y) none
6 Which of the following is correct: 2 + 7i &gt; 10 + i 1 + i &gt; 1 - i 4 + 3i &gt; 1 + 3i none of these
7 i 0
8 x = 0, y = 0
9 z is purely real z is any complex number z is purely imaginary real part of z = imaginary part of z
10 tan-1(-√3) is:
11
12 cos(tan-1∞) = 0 1
13 tan(π + cot-1x ) =
14 tan(π + tan-1x ) = x π+x π-x none of these
15 cos (2sin-1 x) = 1- 2x<sup>2</sup> 1 + 2x<sup>2</sup> 2x<sup>2</sup>- 1 x<sup>2</sup>- 1
16 0
17
18
19
20
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