Consider equation 
Match the values of ' 
' in List II for the types of roots in List I.
List I | List II | ||
(A) | All four real and distinct roots. | (P) | |
(B) | Four roots in which only two roots are real and distinct. | (Q) | |
(C) | All four imaginary roots. | (R) | |
(D) | Four real roots in which only two are equal. | (S) |
Codes
Text Solution
Verified by Experts(i) (ii); (i) (ii); (i) (ii)
Let 
.
All four real and distinct roots.
So, equation (i) has both roots greater than 
.
Following conditions are required:
(i) 
(ii) 
(iii) 
Two real roots which are distinct.
All four roots are imaginary.
Case I:
(i) 
(ii) 
(iii) 
Case II:
From case I and case II,
Four real roots in which two are equal.
(i) 
(ii) 
(iii) 
No common solution.
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