Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The tangent at P , any point on the circle 
, meets the coordinate axes in A and B , then
A
Length of AB is constant
B
PA and PB are always equal
C
The locus of the mid point of AB is 
D
None of these
Text Solution
Verified by ExpertsThe correct answer is:
C
Let 
be a point on 
. Then the equation of the tangent at P is 
which meets the coordinate axes at 
and 
. Obviously, and are not true.
Let 
be the mid-point of AB .
Therefore 
i.e., 
But 
lies on 
.
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