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For what values of m the equation (1+m)x...

For what values of `m` the equation `(1+m)x^(2)-2(1+3m)x+(1+8m)=0` has `(m in R)`
(i) both roots are imaginary?
(ii) both roots are equal?
(iii) both roots are real and distinct?
(iv) both roots are positive?
(v) both roots are negative?
(vi) roots are opposite in sign?
(vii)roots are equal in magnitude but opposite in sign?
(viii) atleast one root is positive?
(iv) atleast one root is negative?
(x) roots are in the ratio `2:3`?

Text Solution

Verified by Experts

The correct Answer is:
m=0,3
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