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Applied Mathematics
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Question 1 : If z=a+ib then IZI=---
Option-1 :(n root apow2+bpow2)
Option-2 :(apow2+bpow2)
Option-3 :(a+b)
Option-4 :none
Question 2 : the additine inverse of the complex number -2+3i is
Option-1 :2+3i
Option-2 :2-3i
Option-3 :2_i
Option-4 :none
Question 3 : By using Dc-Moivreis theorem (cos theta +sin theta/sin theta +i cos theta)pow4==-----
Option-1 :sin theta+cos theta
Option-2 :cos theta theta+sin theta theta
Option-3 :cos+sin theta
Option-4 :none
Question 4 : (3+2i) .(2-i)=---------
Option-1 :2+i
Option-2 :8+i
Option-3 :3+i
Option-4 :none
Question 5 : For the compelx number 3+4i real part=---- and imaginbary part=------
Option-1 :2,4
Option-2 :1,5
Option-3 :3,4
Option-4 :6,2
Question 6 : The Laplace transform of sin hat/t=---
Option-1 :cot pow-1 s/2
Option-2 :sin theta/cos theta
Option-3 :2
Option-4 :0
Question 7 : The Laplace transform of t.cost=---
Option-1 :s-1/3
Option-2 :s pow2-1/(s pow2+1)pow2
Option-3 :2+1/s pow2
Option-4 :none
Question 8 : the polar form of the complex number 1+i/1-i is ---
Option-1 :tan phy -cos phy
Option-2 :cos phy/2+ i sin phy/2
Option-3 :sin phy /3+cos phy
Option-4 :coses theta -sin theta
Question 9 : If (x pow2 y-2)+i(x+2xy-5)=0 the value of x=----- and y=-----
Option-1 :3,2
Option-2 :2,1
Option-3 :4, 1/2
Option-4 :5, 2/3
Question 10 : Sin h(x+i y)=-----
Option-1 :sin h+cos h
Option-2 :sin hx.cosy+i siny.coshx
Option-3 :cos hx.sin hy
Option-4 :none
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