Complex number 
satisfies the equation 
. Then match the values of 
and 
in List I with the corresponding locus in List II.
List I | List II | ||
(A) | (P) | Ellipse | |
(B) | (Q) | Hyperbola | |
(C) | (R) | Line segment | |
(D) | (S) | Two opposite rays |
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
.
We have equation 
and 
.
or 
So, 
lies on the line segment joining complex numbers ' 5 ' and ' 
'.
So, 
lies on the ellipse whose foci are ' 5 ' and ' 
'.
or 
So, 
lies on either of the two rays emanating from ' 5 ' and ' 
' and moving in opposite directions.
So, 
lies on the hyperbola whose foci are ' 5 ' and ' 
'.
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