Match the following.
Column I | Column II | ||
(I) | The polar form of is | (P) | Perpendicular bisector of line segment joining the points ( ) and |
(II) | The amplitude of is | (Q) | Perpendicular bisector of line segment joining the points and |
(III) | If , then locus of is | (R) | |
(IV) | If , then locus of is | (S) |
Text Solution
Verified by ExpertsA
(I) Let, 
Then 
and 
Also, 
( 
So the polar form of 
is 
.
(II) Let 
.
Then, 
Since, 
lies in II quadrant.
(III) We have 
It is a straight line i.e. 
-axis, which is a perpendicular bisector of line segment joining the points
and 
.
(IV) We have, 
It is a straight line, i.e. 
-axis, which is a perpendicular bisector of line segment joining the points 
and 
.
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