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InterviewSolution
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The quadratic equation `p(x)=0`with real coefficients has purely imaginary roots. Then the equation `p(p(x))=0`hasonly purely imaginary rootsat real rootstwo real and purely imaginary rootsneither real nor purely imaginary rootsA. only purely imaginary rootsB. all real rootsC. two real and two purely imaginary rootsD. neither real nor purealy imaginary roots |
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Answer» Correct Answer - 3 Since ` p(x) = 0` has purelu imaginary roots, ` p(x) = ax^(2) + c `, where a and c have same sign. Also , `p(p(x)) = 0 ` `rArr p(x) ` is purely imaginary `rArr ax^(2) + c ` is purely imaginary Hence ,x cannot be either purely real or purely imaginary. |
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