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If equation lx2 + mx +n = 0 (0 < I < m < n) has non-real complex roots is z1and z2, then
  • a)
    |Z1 | > 1,|z2| <1
  • b)
    |z1| < 1,|z2| >1
  • c)
    |z1|> 1, |z2| > 1
  • d)
    |z1| < 1,|z2| <1
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If equation lx2+ mx +n = 0 (0 < I<m<n) has non-real complex r...
1x2 + mx + n = 0 (0 < I < m < n)
Product of roots (z1z2) = (c/a) >1
Let z1 = a+iB and z2 = a-iB
= (a +iB) (a-iB)>1
= a2 +B>1
= |z1| > 1, |z2| > 1
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If equation lx2+ mx +n = 0 (0 < I<m<n) has non-real complex roots is z1and z2, thena)|Z1| > 1,|z2| <1b)|z1| < 1,|z2| >1c)|z1|> 1, |z2| > 1d)|z1| < 1,|z2| <1Correct answer is option 'C'. Can you explain this answer?
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