InterviewSolution
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InterviewSolution
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Match the statements of Column I with those of Column II Here ,z takes values in the complex plane and Im (z) and Re(z) denote respectively , the imaginary part and the real part of z |
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Answer» Correct Answer - `A rarr q,r ; B rarr p ; C to p , s , t ; D to q ,r , st ` A.Let Z=x+iy `rArr we get ysqrt(x^+y^2)=0` `rArr y=0` `rArr I_m(z)=0` B. We have `rArr 10_e =8` `rArr e=4/5` `rArr b^2=25(1-16/25)=9` `therefore x^2/25+y^2/9=1` C. Let `w=2(cos theta +I sin theta)` `therefore z=2 (cos theta+ i sin theta)-(1)/(2 cos theta _ i sin theta)` `=2 (cos theta + i sin theta)-1/2(cos theta - sin theta)` `=3/2 cos theta + 5/2 i sin theta` Let z=x+iy `rArr x=3/2 cos theta and y= 5/2 sin theta` `rArr ((2x)/(3))^2+((2y)/(5))^2=1` `rArr (x^2)/(9//4)+(y^4)/(25//4)=1` `therefore e=sqrt(1-9//4/25//4=4/5` D Let `W= cos theta + i sin theta` Then `z=x+iy = cos theta + i sin theta +1/( cos theta + i sin theta)` `= 2 cos theta` `rArr x=2 cos theta y=0` |
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